Give one example of the following type of the motion
Variable Acceleration -
Answer
546.6k+ views
Hint: If the typical acceleration is different between different points along its path, either in magnitude or in direction or both in magnitude and direction then the body is claimed to be moving with variable acceleration. Also, velocity changes at each interval of your time by decreasing or increasing by an equal amount.
Complete step-by-step solution:
If the acceleration changes with time, the prediction of velocity and position at an arbitrary time becomes harder mathematically. For simplicity, I will assume that motion is a one-dimensional and coordinate choice has been made in order that the xx axis coincides with the line during which motion occurs. Therefore, we'll be handling only xx components of vectors during this section.
An example of variable acceleration is when velocity increases with equal intervals in unequal amounts.
For example, a car is occupying a crowded street, when a car finds space it'll move with greater speed and if it gets stuck in the crowd then it'll move with less speed.
Note: Unit of acceleration is that the meter per square second $(m/{s^2})$ Definition. The newton is that force that, when working on a mass of 1 kilogram, produces an acceleration of 1 meter per square second. Increasing force tends to increase acceleration whereas increasing mass tends to decrease acceleration. Thus, the greater force on objects is offset by the inverse effect of greater mass. Remember from working with forces that force is adequate to the mass times acceleration. As we increase the force on an object the acceleration goes high proportionally.
Complete step-by-step solution:
If the acceleration changes with time, the prediction of velocity and position at an arbitrary time becomes harder mathematically. For simplicity, I will assume that motion is a one-dimensional and coordinate choice has been made in order that the xx axis coincides with the line during which motion occurs. Therefore, we'll be handling only xx components of vectors during this section.
An example of variable acceleration is when velocity increases with equal intervals in unequal amounts.
For example, a car is occupying a crowded street, when a car finds space it'll move with greater speed and if it gets stuck in the crowd then it'll move with less speed.
Note: Unit of acceleration is that the meter per square second $(m/{s^2})$ Definition. The newton is that force that, when working on a mass of 1 kilogram, produces an acceleration of 1 meter per square second. Increasing force tends to increase acceleration whereas increasing mass tends to decrease acceleration. Thus, the greater force on objects is offset by the inverse effect of greater mass. Remember from working with forces that force is adequate to the mass times acceleration. As we increase the force on an object the acceleration goes high proportionally.
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