Draw the acceleration-time graph for a body moving with :

(a) Uniform velocity

(b) Free falling body

and give an example of each.

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

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

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).