CBSE Class 9 Science Chapter 8 - Motion Revision Notes - Free PDF Download
The theories and principles taught in NCERT chapter 8 of motion for class 9 are explained in motion chapter class 9 notes. When the position of a body changes in reference to a stationary object, it is said to be in motion. Understanding higher-level physics subjects requires a comprehension of motion. There are several types of motions, and the phenomenon of motion is regulated by definite principles. As part of the Class 9 science chapter 8 notes, we will go over all of this in great detail.
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Motion Class 9 Notes CBSE Science Chapter 8 (Free PDF Download)
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Introduction:
One of the most common phenomena in the physical world is motion. Mechanics is the branch of Physics that deals with the behavior of moving objects.
Mechanics is divided further into two sections: Kinematics and Dynamics.
Kinematics is the study of motion without regard for the cause of motion.
Dynamics is concerned with the source of motion, which is force.
Motion and Rest:
An object is said to be in motion if its position in relation to its surroundings changes in a given time.
An object is said to be at rest if its position in relation to its surroundings does not change.
A frame of reference is another object or scene against which we compare the position of an object.
Figure 1:
Figure 2:
Take a look at the numbers. Figure 1 shows the car to the right of the tree. Figure 2 shows the car to the left of the tree after 2 seconds. The car must have moved from one location to another because the tree does not move. As a result, the tree serves as the frame of reference in this case.
Types of Motion:
There are three types of motion:
Translatory motion
Rotatory motion
Vibratory motion
Translatory Motion:
A particle in translatory motion moves from one point in space to another. This movement may be in a straight line or in a curved path.
Rectilinear motion is defined as motion along a straight line.
Curvilinear motion is defined as movement along a curved path.
As an example, consider a car driving down a straight road.
Rectilinear Motion:
Example: A car negotiating a curve
Curvilinear Motion:
Rotatory Motion:
The particles of the body describe concentric circles around the axis of motion in rotatory motion.
Vibrational Motion:
Particles in vibratory motion move back and forth around a fixed point.
Distance and Displacement:
The distance between termini A and B is 150 kilometers. A bus connects Terminus A and Terminus B. The bus travels a distance of 150 kilometers. The bus returns from terminus B to terminus A along the same route. As a result, the total distance traveled by the bus from A to B and then from B to A is 150 km + 150 km = 300 km.
A bus traveling from point A to point B and back again.
The distance traveled by a moving object is the length of the path the object takes.
The measure of distance is a scalar quantity. The meter is the SI unit of distance.
The bus's position changed when it moved from Terminus A to Terminus B. The distance between A and B is 150 kilometers. The distance traveled on the return trip is also 150 kilometers.
Displacement is the shortest path covered by a moving object in a specified direction from the point of reference (the initial position of the body).
Note:
However, the displacement when the bus moves from A B to B B is zero. The meter is the SI unit of displacement.
Displacement is a vector, which means that it is represented by a number with appropriate units and direction.
To emphasize the distinction between displacement and distance, consider a few more examples.
Assume a person moves 3 meters from point A to point B and 4 meters from point B to point C, as shown in the figure. He has travelled a total distance of 7 meters. But is he really 7 meters away from his starting point? No, he is only 5 meters away from his initial position, implying that he is displaced by the shortest distance between his initial and final positions.
Distance and Displacement
To determine the displacement in this example, we can use Pythagoras' theorem. Consider an object that is changing its position with respect to a fixed point known as the origin 0.
$\mathrm{x}_{\mathrm{i}}$ and $\mathrm{x}_{\mathrm{f}}$ are the initial and final positions of the object. Then the displacement of the
object $=x_{f}-x_{i}$
Case 1:
Suppose the object is travelling from $+1$ to $+4$, then displacement
$=\mathrm{x}_{\mathrm{f}}-\mathrm{x}_{\mathrm{i}}$
$=+4-(+1)$
$=+3$
Displacement: Case 1
Case 2:
If the object is travelling from -3 to -1, then displacement
If the object is travelling from $-3$ to $-1$, then displacement
$=x_{f}-x_{i}$
$=-1-(-3)$
$=+2$
Displacement: Case 2
Case 3:
If the object is travelling from +4 to +2, then displacement
$=\mathrm{x}_{\mathrm{f}}-\mathrm{x}_{\mathrm{i}}$
$=+2-(4)$
$=-2$
Displacement: Case 3
Case 4:
If the object follows the path depicted in the figure, the final and initial positions are the same, implying that the displacement is zero.
Displacement: Case 4
We can conclude from the preceding examples that a body's displacement is positive if its final position is on the right side of its initial position and negative if its final position is on the left side of its initial position. The displacement of a moving object is said to be zero when it returns to its original position. Consider an athlete running in a clockwise direction along a circular track with radius r, beginning at A.
A Circular Track of Radius r
What is the athlete's total distance traveled when he arrives at point B?
The athlete's total distance traveled when he arrives at point B equals to half of the circumference of the circular track, that is, $\frac{2 \pi r}{2}=\pi r$.
Displacement $=A B=2 r=$ Diameter of circle (the shortest distance between the initial and final positions).
If the athlete arrives at the starting point $A$, the distance covered is equal to the circumference of the circular track, i.e., $2 \pi r .$ However, the displacement is zero because the athlete's initial and final positions are the same.
Difference between Distance and Displacement
Distance | Displacement |
It is the actual length of a moving object's path. | It is the shortest distance between the moving object's initial and final positions. |
Scalar quantity | Vector quantity |
Motion:
Uniform Motion and Non-uniform Motion:
The distances covered by car A and car B with respect to time is given below:
Car A:
Time in seconds | 0 | 5 | 10 | 15 | 20 | 25 | 30 | 35 |
Distance covered in meters | 0 | 10 | 20 | 30 | 40 | 50 | 60 | 70 |
Car B:
Time in seconds | 0 | 5 | 10 | 15 | 20 | 25 | 30 | 35 |
Distance covered in meters | 0 | 10 | 15 | 20 | 30 | 60 | 65 | 75 |
The car A travels equal distances in equal time intervals, whereas the car B does not travel equal distances in equal time intervals. That is, car A's motion is an example of uniform motion, whereas car B's motion is an example of non-uniform motion.
A body is said to describe uniform motion when it covers equal distances in equal intervals of time.
When a body moves unequal distances in equal time intervals, or vice versa, this is referred to as non-uniform motion.
Speed:
Ram and Krishna compete in various races over varying distances. Ram covers $1000 \mathrm{~m}$ in 20 minutes and Krishna covers $700 \mathrm{~m}$ in 10 minutes. Who is the fastest?
To determine who is faster, we will calculate the distance they cover in one minute.
Distance covered by Ram in one minute $=\frac{1000 \mathrm{~m}}{20 \mathrm{~min}}=500 \mathrm{~m} / \mathrm{min}$
Distance covered by Krishna in one minute $=\frac{700 \mathrm{~m}}{10 \mathrm{~min}}=70 \mathrm{~m} / \mathrm{min}$
Krishna covered more ground in the same amount of time. We conclude that Krishna is the faster of the two.
Speed is defined as the distance traveled by a moving object in one unit of time.
$\text { speed }=\frac{\text { distance }}{\text { time }}=\frac{\mathrm{S}}{\mathrm{t}}$
Where S denotes the distance traveled and t denotes the time spent.
The SI unit of speed is millimeters per second (m/s). Speed is defined as a scalar quantity.
Uniform Speed:
The graph depicts the distance traveled by a ball every 2 seconds.
Every 2 seconds, the ball travels 10 meters. At any point between A and E, the ball moves at a speed of 5 m/s. The object is moving at a constant speed.
If an object travels the same distance in the same amount of time, it is said to be moving at a uniform speed.
Surface friction or resistance is ignored in this case.
Variable Speed or Non-Uniform Speed:
The distance covered varies with time.
Variable Speed:
For example, when a rubber ball is dropped from a certain height (h1), it bounces up to a height less than the initial one (h2). It keeps bouncing, but the height to which it rises keeps decreasing (h3, h4). The ball's distance traveled per unit time decreases. The ball's speed varies from point to point. This type of speed is known as variable speed.
Average Speed and Instantaneous Speed:
When we travel by car, the speed varies depending on the road conditions at the time. The speed is calculated in this case by dividing the total distance traveled by the vehicle by the total time required for the journey. This is known as the average speed.
The average speed of an object traveling S1 in time t1, S2 in time t2, and Sn in time tn is given by,
$\text { Average speed }=\frac{\mathrm{S}_{1}+\mathrm{S}_{2}+\mathrm{S}_{3}+\ldots+\mathrm{S}_{\mathrm{n}}}{\mathrm{t}_{1}+\mathrm{t}_{2}+\mathrm{t}_{3}+\ldots+\mathrm{t}_{\mathrm{n}}}$
When we say that the car travels at an average speed of 60 km/h, we do not mean that it will travel at that speed for the duration of the journey. The actual speed of the car may be less than or greater than the average speed at a given location.
The speed of a moving body at any given point in time is referred to as instantaneous speed.
Velocity:
The diagram below depicts the various routes Shyam can take from his house to school.
Shyam drives himself to school every day, averaging 60 km/h. Is it possible to find out how long it will take to get to the destination? Yes, you can use the relation to determine the time.
$\text { speed }=\frac{\text { distance }}{\text { time }}$
But you don't know what path he would have taken. As a result, simply providing the speed of a moving object does not allow one to determine the exact position of the object at any given time. As a result, there is a need to define a quantity that has both magnitude and direction.
Starting with A, consider two objects P and Q. Allow them to travel equal distances in equal time intervals, i.e. at the same speed. Can you guess where each of them will be in 20 seconds? P and Q are free to move in any direction. To determine the exact position of P and Q, we must also know their direction of motion.
Pictorial Representation of the Position of the Objects P and Q:
As a result, another physical quantity known as velocity is introduced to provide us with an idea of both speed and direction.
Velocity is defined as the distance traveled in a given direction by a moving object in a given time or speed in a given direction.
$\operatorname{velocity}(v)=\frac{\text { distance travelled in a specified direction }(s)}{\text { time taken }(t)}$
Note:
Velocity is defined as the distance traveled in a given direction in a given amount of time. Displacement is the distance traveled in a specified direction.
As a result, velocity can be defined as the rate at which displacement changes.
Uniform Velocity and Non-Uniform Velocity:
Assume that two athletes, Ram and Shyam, are running at a constant speed of 5 m/s. Ram moves in a straight line, while Shyam follows a circular path. For a layperson, both Ram and Shyam are moving with uniform velocity, but for a physicist, only Ram is running with uniform velocity because his speed and direction of motion do not change.
In the case of Shyam, who is running on a circular track, the direction of motion changes at every instant because a circle is a polygon with infinite sides, and Shyam must change his direction at every instant.
A body is said to be moving with uniform velocity if it travels the same distance in the same amount of time in the same direction.
A body is said to be moving with variable velocity if it covers unequal distances in equal intervals of time and vice versa in a specified direction, or if its direction of motion changes.
Acceleration:
We are all aware that a car moving down the road does not have a uniform velocity. Either the speed or the direction of travel shifts. We say that a vehicle is accelerating when it is speeding up, i.e. when the speed increases.
Let us look at the change in velocity of a train traveling from Bangalore to Mysore to get an idea of acceleration. The train, which was initially at rest, begins to move; its velocity gradually increases until it reaches a constant velocity after a certain time interval. As the train approaches the next station, its speed gradually decreases until it comes to a halt.
When a train starts from a stop, its speed increases from zero, and we say it is accelerating. After a while, the speed becomes uniform, and we say that the train is moving at a uniform speed, which means that it is not accelerating. However, as the train approaches Mysore, it slows down, indicating that the train is accelerating in the opposite direction. When the train comes to a halt in Mysore, it stops accelerating once more.
As a result, it is clear that the term "acceleration" does not always imply that the speed of a moving body increases; it can also decrease, remain constant, or become zero.
In general, acceleration is defined as the rate at which the velocity of a moving body changes over time.
This change could be a change in the object's speed, direction of motion, or both.
Let us now look up a mathematical formula for calculating acceleration.
If an object moves with an initial velocity 'u' and reaches a final velocity 'v' in time 't,' then the acceleration 'a' produced by the object is
Acceleration = Rate at which velocity changes over time.
$a=\frac{v-u}{t}$
Unit of Acceleration:
The SI unit of acceleration is m/s2 and it is a vector quantity.
Different Types of Acceleration:
It is clear from the preceding example that acceleration takes various forms depending on the change in velocity.
Positive acceleration:
When an object's velocity increases, it is said to be moving with positive acceleration.
Positive Acceleration
Example: a ball rolling downhill on an inclined plane.
Negative acceleration:
When an object's velocity decreases, it is said to be moving with negative acceleration. Negative acceleration can also be referred to as retardation or deceleration.
Example:
(1) A ball moving up an inclined plane.
(2) A vertically thrown upwards ball has a negative acceleration as its velocity decreases over time.
Zero Acceleration:
If the change in velocity is zero, indicating that the object is either at rest or moving at uniform velocity, the object is said to have zero acceleration.
A parked car, for example, or a train moving at a constant speed of 90 km/hr.
Uniform Acceleration:
The object is said to be moving with uniform acceleration if the change in velocity at equal intervals of time is always the same.
As an example, consider a body falling from a great height towards the earth's surface.
Non-uniform or Variable Acceleration:
If the change in velocity over equal time intervals is not the same, the object is said to be moving with variable acceleration.
Motion:
Distance-Time Table and Distance-Time Graph:
Mr. X is taking a bus from New Delhi to Agra and recording his observations.
Distance in km | 0 | 10 | 20 | 30 | 40 | 50 | 60 |
Time | 10.00 am | 10.15 am | 10.30 am | 10:45 am | 11:00 am | 11:15 am | 11:30 am |
According to the table above, the bus travels equal distances at equal times. The bus is moving at a constant speed. In such a case, we can compute the distance traveled by the bus at any given point in time.
Consider an object moving from its initial position xi to its final position xf in time t at a uniform speed v.
$\text { uniform speed }=\frac{\text { total distance }}{\text { time taken }}$
$v=\frac{x_{f}-x_{i}}{t}$
$x_{f}-x_{i}=v t \cdots \cdots(1)$
The relationship between distance, time, and average speed is given by equation (1). This relationship can be used to generate distance-time tables as well as to determine the position of any moving object at any given time. However, it is a time-consuming and tedious process, especially when we need to determine the position after a long period of time or compare the motion of two objects. In such cases, graphs such as the distance-time graph can be useful. A distance-time graph is a line graph that shows how distance changes over time. A distance-time graph plots time along the x-axis and distance along the y-axis.
Distance-Time Graph for Non - Uniform Motion
Let us now look at the nature of a distance-time graph for a non-uniform motion. The distance traveled by a bus every 15 minutes is shown in the table below.
Distance covered in km | 0 | 5 | 15 | 20 | 25 | 30 | 35 |
Time in minutes | 0 | 15 | 30 | 45 | 60 | 75 | 90 |
We can deduce from the above table that the motion is non-uniform, i.e. it covers unequal distances in equal time intervals.
Measure time along the x-axis and distance along the y-axis.
Analyze the provided data and select the appropriate scale for time and distance.
Plot the points.
Join the points.
Consider any two points (A, B) on the graph.
Draw perpendicular from A to B to x and y axes.
Join A to C to get a right angled ACB.
The slope of the graph is shown below.
$\mathrm{AB} =\frac{\mathrm{BC}}{\mathrm{AC}}$
$=\frac{\mathrm{S}}{\mathrm{t}}$
$=\mathrm{speed}$
Write the title and scale chosen for the graph.
$\text { speed }=\frac{15-5}{30-15}$
$=\frac{10}{15}$
$=\frac{2}{3}$
$=0.666 \mathrm{~km} / \mathrm{min}$
Consider another two points on the graph, P and Q, and draw a right-angled triangle PRQ.
$\text { slope }=\text { speed }$
$\mathrm{PQ}=\frac{\mathrm{QR}}{\mathrm{PR}}$
$=\frac{35-30}{90-75}$
$=\frac{5}{15}$
$=0.333 \mathrm{Km} / \mathrm{min}$
Complete Graph
Nature of S- t Graph for Non- Uniform Motion and Uses of Graphs
Let us now see the nature of S-t graph for non-uniform motion.
Nature of s-t Graph for Non-Uniform Motion:
Figure (a) depicts the S-t graph as the speed of a moving object increases, while Figure (b) depicts the S-t graph as the speed of a moving object decreases. The nature of the S-t graph allows us to determine whether the object is moving at a constant or variable speed.
Uses of Graphical Representation:
Because it provides a visual representation of two quantities, graphical representation is more informative than tables (e.g., distance vs. time)
A graph provides more information than a table at a glance. Both of the graphs shown here depict increasing speed.
Figure (1) depicts the nature of the variation in speed, indicating that the increase is greater in the beginning up to time t1 and relatively lower after t2.
Similarly, fig (2) depicts how the increase in speed becomes greater after t1. A similar explanation applies to the decreasing speed.
Graphs are simple to read at a glance.
Graph plotting takes less time and is more convenient.
Graphs can be used to determine the position of any moving object at any point in time.
Two moving objects' motions can be easily compared.
Graphs reveal information about the nature of motion.
Motion:
Velocity-Time Graph:
The variation of velocity with time can be graphically represented to calculate acceleration in the same way that we calculated speed from the distance-time graph.
Let us now create a velocity-time(v-t) graph using the data below.
Velocity in m/s | 0 | 10 | 20 | 30 | 40 | 50 |
Time in seconds | 0 | 2 | 4 | 6 | 8 | 10 |
Draw time on the x-axis and velocity on the y-axis.
Analyze the provided data and select the appropriate scale for the x and y axes.
Plot the Given Points.
Join the Points
Consider Any Two Points A and B on the Straight-Line Graph.
Draw Perpendiculars from A and B to x and y-axes.
Join A to C, ACB forms a Right-Angled Triangle.
Slope of the Graph
$\mathrm{AB}=\frac{\mathrm{BC}}{\mathrm{AC}}=\frac{\text { Change in velocity }}{\text { time }}=\text { acceleration }$
Calculations:
$\text { Acceleration }=\frac{30-20}{6-4}$
$=\frac{10}{2}$
$=5 \mathrm{~m} / \mathrm{s}^{2}$
Write the title for the graph.
Complete Graph
V - T Graph:
Let us now examine the nature of the v - t graph for various types of motion.
a) Increasing Acceleration:
Uniform Acceleration
Non-Uniform Acceleration
(b) Decreasing Acceleration:
Non-uniform Retardation
Uniform Retardation
Zero Acceleration
Uses of Velocity-time Graphs
The velocity-time graph can be used to derive the following results.
The acceleration produced in a body.
The distance traveled by a moving object.
The equations of motion.
Speed - Time Graph
To compute the distance traveled by a moving object using a speed-time graph.
The graph below depicts the speed-time graph of a car traveling at a constant speed of 60 km/h for 5 hours.
Speed-Time Graph of a Car Moving with Uniform Speed
Distance travelled by the car,
Distance travelled by the car
$(S)=v \times t$
$=60 \times 5$
$=300 \mathrm{~km}$
But $60 \mathrm{~km} / \mathrm{h}=\mathrm{OC}=$ breadth of the rectangle $\mathrm{OABC}$
$5 h=O A=$ length of the rectangle $O A B C$
i.e., the distance covered by the car = length $\times$ breadth $=300 \mathrm{~km}$.
To calculate the distance traveled by a moving object using a speed-time graph, find the area enclosed by the speed-time graph and the time axis. In the case of non-uniform motion, the distance covered by the object increases in steps as the object's speed increases. During the time intervals $0-t_{1}, t_{1}-t_{2}, t_{2}-t_{3}, \ldots \ldots$, the speed remains constant.
The motion of an object moving at a variable speed is depicted in the figure below.
Speed - Time Graph for an Object Moving with Variable Speed
Calculation of Distance:
The object's total distance traveled during the time interval.
0- t6 = Area of rectangle 1 + area of rectangle 2 + …… + area of rectangle 6.
Motion
Equations of Motion
Time, speed, distance covered, and acceleration are the variables in a uniformly accelerated rectilinear motion. These quantities have simple relationships. These relationships are expressed using equations known as equations of motion.
The equations of motion are:
(1) $v=u+a t$
(2) $S=u t+\dfrac{1}{2} a t^{2}$
(3) $v^{2}-u^{2}=2 a S$
Derivation of the First Equation of Motion
Consider a particle moving in a straight line with a constant acceleration ‘a’. Let the particle be at A at t=0, and u be its initial velocity, and v be its final velocity at t=t.
$a=\dfrac{v-u}{t}$
$v-u=a t$
$v=u+a t$
I Equation of Motion
Second Equation of Motion
$\text { Average velocity } =\dfrac{\text { total distance travelled }}{\text { total time taken }}$
$=\dfrac{S}{t} \ldots \ldots(1)$
Average velocity can alsobe written as
$\frac{u+v}{2} \cdots \cdots(2)$
From equation (1) and (2),
$\frac{S}{t}=\frac{u+v}{2} \cdots \cdots(3)$
The first equation of motion is $v=u+a t$. Substituting the value of $v$ in equation (3), we get
$\frac{S}{t}=\frac{u+u+a t}{2}=\frac{(u+u+a t) t}{2}$
$\quad=\frac{(2 u+a t) t}{2}$
$S=u t+\frac{1}{2} a t^{2}$
II equation of motion
Third Equation of Motion
The first equation of motion is
$v=u+a t$
$v-u=a t \ldots(1)$
Average velocity $=\frac{S}{t} \cdots \cdots(2)$
Average velocity $=\frac{u+v}{t} \cdots \cdot(3)$
From equation (2) and equation (3) we get,
$\frac{u+v}{t}=\frac{S}{t} \cdots \ldots(4)$
Multiplying equation (1) and equation (4) we get,
$(v-u)(v+u)=a t \times \frac{2 S}{t}$
$(v-u)(v+u)=2 a S$
$\left(v^{2}-u^{2}\right)=2 a S$
III equation of motion
Derivations of Equations of Motion (Graphically)
First Equation of Motion
Consider an object moving in a straight line with a uniform velocity u. When its initial velocity is u, give it a uniform acceleration an at time t = 0. The object's velocity increases as a result of the acceleration to v (final velocity) in time t, and S is the distance covered by the object in time t.
The graph depicts the velocity-time graph of the object's motion.
The acceleration of a moving object is given by the slope of the v - t graph.
Thus, acceleration = slope
$\mathrm{AB}=\frac{\mathrm{BC}}{\mathrm{AC}}=\frac{v-u}{t-0}$
$a=\frac{v-u}{t}$
$v-u=a t$
$v=u+a t$
I equation of motion
Second Equation of Motion
Let u be an object's initial velocity and 'a' be the acceleration produced in the body. The area enclosed by the velocity-time graph for the time interval 0 to t gives the distance travelled S in time t.
Graphical Derivation of Second Equation
Distance travelled S = area of the trapezium ABDO
Distance travelled $S=$ area of the trapezium ABDO
$=$ area of reactangle $A C D O+$ area of $\triangle A B C$
$=\mathrm{OD} \times \mathrm{OA}+\frac{1}{2} \mathrm{BC} \times \mathrm{AC}$
$=\mathrm{t} \times \mathrm{u}+\frac{1}{2}(\mathrm{v}-\mathrm{u}) \times \mathrm{t}$
$=\mathrm{ut}+\frac{1}{2}(v-u) \times t$
$v=u+$ at $\mid$ equation of motion; $v-u=a t$
$S=u t+\frac{1}{2} a t \times t$
$=u t+\frac{1}{2} a t^{2}$
II equation of motion
Third Equation of Motion
Let 'u' be an object's initial velocity and a be the acceleration produced in the body. The area enclosed by the v - t graph gives the distance travelled 'S' in time 't'.
Graphical Derivation of Third Equation
$\mathrm{S}=$ area of trapezium $\mathrm{OABD}$
$=\frac{1}{2}\left(b_{1}+b_{2}\right) h$
$=\frac{1}{2}(\mathrm{OA}+\mathrm{BD}) \mathrm{AC}$
$=\frac{1}{2}(u+v) t \cdots \cdots(1)$
But we know that $a=\frac{v-u}{t}$ or $t=\frac{v-u}{a}$
Substituting the value of $t$ in equation (1) we get,
$S=\frac{1}{2} \frac{(u+v)(v-u)}{a}$
$=\frac{1}{2} \frac{(v+u)(v-u)}{a}$
$2 a s=(v+u)(v-u)$
$(v+u)(v-u)=2 a s$
$v^{2}-u^{2}=2 a s$
III Equation of Motion
Circular Motion
We classified motion along a circular track as non-uniform motion in the example discussed under the topic uniform and non-uniform motion. Let's take a look at why circular motion is considered non-uniform motion. The figure depicts an athlete running at a constant speed on a hexagonal track.
Athlete Running on a Regular Hexagonal Track
The athlete runs at a constant speed along the track segments AB, BC, CD, DE, EF, and FA, and at the turns, he quickly changes direction to stay on the track without changing his speed. Similarly, if the track had been a regular octagon, the athlete would have had to change directions eight times in order to stay on the track.
Athlete Running on a Regular Octagonal Track
The athlete must turn more frequently as the number of sides of the track increases. If we increase the number of sides indefinitely, the track will take on the shape of a circle. As a result, because a circle is a polygon with infinite sides, motion along a circular path is classified as non-uniform motion.
Athlete Running on a Circular Track
Thus, an object moving at uniform speed along a circular track is an example of non-uniform motion because the object's direction of motion changes at every instant of time.
Examples of Uniform Circular Motion
(1) A car negotiating a curve at a constant speed.
(2) An athlete spinning a hammer in a circle before throwing it.
(3) An aircraft looping the loop.
Expression for Linear Velocity
If an athlete takes t seconds to complete one circular path of radius r, then the velocity v is given by the relation,
$\mathrm{v}=\frac{\text { distance travelled }}{\text { time }}$
Distance travelled = circumference of the circle
$=2\pi\mathrm{r}$
Linear velocity $=\frac{\text { 2r }}{\mathrm{t}}$
Class 9 Science Chapter 8 Revision Notes - Free PDF Download
Contents of Class 9 Science Motion Notes
The Class 9 science notes chapter 8 contains detailed discussions on the topic of motion. It tells you about the basic definition of motion and rest. Then the chapter discusses the different types of motion. Next comes distance and displacement.
With all this knowledge in your hand, we thereby venture to find out the speed and velocities of different objects. We also look into acceleration and its types.
The notes also contain worked-out examples of numerical problems and other questions to give us a clear idea of the type of questions we can expect in the examination.
Subtopics Covered in Class 9 Chapter 8 Science Notes
The subtopics covered in class 9 science ch 8 notes are:
Motion and Rest: The change in position of an object with time and with respect to a stationary object is moving. If a body undergoes no change in position with time and with respect to a stationary object then it is said to be at rest
Types of Motion: Motion is divided into the following types:
Translation Motion: Motion along a straight line or curved path
Vibrational Motion: Motion of a particle to and from fixed positions.
Rotatory Motion: The circular motion of an object around the axis of rotation.
Distance and Displacement: Distance is defined as the total length of the path traveled by an object. Displacement on the other hand is the net effective change in position. In this section, we shall also look into various examples of numerical problems that aim at finding the distance and displacement of various objects.
Uniform and Non-Uniform Motion: Motion is said to be uniform when the rate of change of position remains the same across intervals multiple times with respect to the same object. Non-uniform motion sees different rates of change of position with respect to the object of reference.
Speed: Uniform And Variable: Speed is defined as the rate of change of position. It can either be uniform or variable.
Velocity: The velocity of an object is defined as the rate of change of displacement.
Acceleration: Acceleration is the rate of change of velocity with respect to time.
Basics of Plotting a Graph: Graphs are basically illustrations that are used to show the rate of change of a character. A graph is made by the intersection of two mutually perpendicular lines. Each of these lines is called the axis.
How to work out time vs distance or displacement
Laws of Motion: Motion is governed by laws of physics known as Newton’s law of motion or simply the laws of motion.
Ch 8 science class 9 notes are very important from the point of view of examinations as the chapter of motion has a net weightage of 9. Apart from that this chapter is especially important for candidates who want to pursue science in higher classes.
Why Choose Notes of ch 8 Science Class 9 by Vedantu?
Vedantu's class 9th science chapter 8 notes are the greatest study companion available. Physics may be a difficult topic to master, especially on your own. Vedantu's Motion class 9 notes are designed just for students. Despite the fact that it is developed by specialists, the language used is relatively easy. The subject of motion is both wide and vital. It is critical for students to understand as much as they can about motion without becoming overburdened. This is why Vedantu's notes give the ideal blend of study material that is both easy and dense with knowledge. Some advantages of utilising Vedantu include:
It is easy to access
It is easy to practice from
It is easy to check your answers and compare them with the solved ones
It is free to download from the official website of Vedantu
- It has solved numerical problems in it to help improve your understanding
The chapter 'Motion' may provide pupils with a wealth of information. All of the major topics are discussed here. The students are required to understand the important coverage so that they can prepare accordingly, this can be done by studying these notes from the chapter 'Motion'.
The students can also download the free pdf which is mentioned in this article.
FAQs on Motion Class 9 Notes CBSE Science Chapter 8 (Free PDF Download)
1. When can an object have a zero displacement according to what you have studied in Notes of the Chapter Motion?
If an item goes along a certain path and then returns to its original position, the associated displacement of that object is zero. The length of the path will be travelled, but because the beginning and ending points of the movement are the same, the displacement will be zero.
2. Explain the type of motions according to what you have studied in Notes of the Chapter Motion.
Motion is the term given to the change in position of an object with respect to time. There are three types of motions:
Rotatory Motion: This takes place in a circular path when the object moves around the axis of rotation.
Vibrational Motion: This occurs when the object moves to and from a fixed position.
Translation Motion: This is caused by an object moving along a curved path or a straight line.
3. What are the subtopics covered in Class 9 Science Chapter 8 notes?
The CBSE Class 9 Science Chapter 8 - Motion Revision Notes provide well-explained details on each topic that has been covered in the NCERT and is a part of the latest syllabus provided by CBSE for Class 9 Science. These subtopics include the following:
Motion and Rest
Types of Motion
Distance and Displacement
Uniform and Non-uniform Motion
Velocity
Acceleration
Basics of Plotting a Graph
Newton’s Laws of Motion
4. What are the benefits of referring to Vedantu’s Class 9 Science Chapter 8 notes?
Referring to CBSE Class 9 Science Chapter 8 - Motion Revision Notes by Vedantu can provide students with several benefits like:
Providing one of the best study materials for preparation
Save time by providing notes that are ready for studying
Help in increasing clarity about the different concepts taught in chapter 8
Help in understanding and solving numerical that are an important part of this chapter
Free of cost PDF download for studying offline
5. What are the Laws of Motion discussed in Chapter 8 Class 9 Science?
Newton established three laws of motion. According to the first law of motion, an object at rest or in uniform motion will remain in that condition until an external force is applied to it. Newton's second law states that the acceleration of an item is proportional to the force applied to it and its mass. According to the third and final law, every action has an equal and opposite response. Students may learn more by visiting the Vedantu website or app.