Question

Draw the acceleration-time graph for a body moving with : (a) Uniform velocity (b) Free falling body and give an example of each.

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Answer

(a) Below is the acceleration-time graph for a body moving with uniform velocity:

uniform-velocity-acceleration-time-graph-concise-physics-solutions-icse-class-9-575x434

In the above figure, if the body is moving with a uniform velocity, the acceleration is zero. Hence, the acceleration-time graph in such a case is a straight line coinciding with the time axis.

An example of a body moving with uniform velocity is a car travelling on a straight and flat road with a constant speed of 60 km/hour (or any other constant speed).

(b) Below is the acceleration-time graph for a free-falling body:

free-fall-acceleration-time-graph-concise-physics-solutions-icse-class-9-543x460

In the figure given above, the straight line AF, represents the acceleration-time graph for a body falling freely with uniform acceleration of 10 ms-2.

For example, a body falling freely under gravity moves with a uniform acceleration of 9.8 ms-2 (or nearly 10 ms-2).

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