Answer
64.8k+ views
Hint: Recall the various graphs in kinematics and what the properties of the graphs are. Also recall what area under the curve and slope of each graph gives. Answer accordingly to the data given in graphs.
Formula used:
Slope $ = \dfrac{{\Delta y}}{{\Delta x}} = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}$
Complete step by step solution:
The given graph is a $x - t$ graph. We know that the slope of $x - t$ graph gives the speed. Thus the car whose slope is maximum has the maximum speed. Hence for these we need to find the slope in each case. We know,
Slope $ = \dfrac{{\Delta y}}{{\Delta x}} = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}$
Thus,
Slope of A $ = \dfrac{{14 - 6}}{{1.6 - 0}} = \dfrac{8}{{1.6}} = 5km/hr$
Slope of B $ = \dfrac{{14 - 0}}{{1.4 - 0}} = \dfrac{{14}}{{1.4}} = 10km/hr$
Slope of C $ = \dfrac{{14 - 2}}{{1.0 - 0}} = \dfrac{{12}}{{1.0}} = 12km/hr$
After taking out the slopes, we infer that C has the maximum slope and A has the minimum slope.
Thus, C has the maximum speed and A has the minimum speed.
Additional Information:
There are three main motion graphs that tend to be studied in kinematics: displacement-time graphs, velocity-time graphs, and acceleration-time graphs. In all the three, time is present in the X-axis, while the others are present in Y-axis.
Following shows what does the slope and area of each graph corresponds to
Graphs are an easy way to study the nature of motion of a body. A curve in any of the graphs may not be a straight line; it can even be a curve.
Note: Do the calculations properly. Also do not make mistakes in interpreting the graph. Keep in mind the properties of all the graphs in kinematics within the scope of syllabus.
Formula used:
Slope $ = \dfrac{{\Delta y}}{{\Delta x}} = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}$
Complete step by step solution:
The given graph is a $x - t$ graph. We know that the slope of $x - t$ graph gives the speed. Thus the car whose slope is maximum has the maximum speed. Hence for these we need to find the slope in each case. We know,
Slope $ = \dfrac{{\Delta y}}{{\Delta x}} = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}$
Thus,
Slope of A $ = \dfrac{{14 - 6}}{{1.6 - 0}} = \dfrac{8}{{1.6}} = 5km/hr$
Slope of B $ = \dfrac{{14 - 0}}{{1.4 - 0}} = \dfrac{{14}}{{1.4}} = 10km/hr$
Slope of C $ = \dfrac{{14 - 2}}{{1.0 - 0}} = \dfrac{{12}}{{1.0}} = 12km/hr$
After taking out the slopes, we infer that C has the maximum slope and A has the minimum slope.
Thus, C has the maximum speed and A has the minimum speed.
Additional Information:
There are three main motion graphs that tend to be studied in kinematics: displacement-time graphs, velocity-time graphs, and acceleration-time graphs. In all the three, time is present in the X-axis, while the others are present in Y-axis.
Following shows what does the slope and area of each graph corresponds to
Graph | Slope | Area |
Displacement-time | Velocity | --- |
Velocity-time | Acceleration | Displacement |
Acceleration-time | --- | Velocity |
Graphs are an easy way to study the nature of motion of a body. A curve in any of the graphs may not be a straight line; it can even be a curve.
Note: Do the calculations properly. Also do not make mistakes in interpreting the graph. Keep in mind the properties of all the graphs in kinematics within the scope of syllabus.
Recently Updated Pages
Write a composition in approximately 450 500 words class 10 english JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Arrange the sentences P Q R between S1 and S5 such class 10 english JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
What is the common property of the oxides CONO and class 10 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
What happens when dilute hydrochloric acid is added class 10 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
If four points A63B 35C4 2 and Dx3x are given in such class 10 maths JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
The area of square inscribed in a circle of diameter class 10 maths JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Other Pages
Excluding stoppages the speed of a bus is 54 kmph and class 11 maths JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
In the ground state an element has 13 electrons in class 11 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Electric field due to uniformly charged sphere class 12 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
A boat takes 2 hours to go 8 km and come back to a class 11 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
According to classical free electron theory A There class 11 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)