Given below is the velocity-time graph for the motion of the car. What does the nature of the graph show? Also find the acceleration of the car.

The nature of the graph shows that velocity changes by equal amounts in equal intervals of time. For a uniformly accelerated motion, velocity-time graph is always a straight line.

As we know, acceleration is equal to the slope of the graph

i.e.,  a = BC \over AC   or  a = v_2 - v_1 \over t_2 - t_1

∴  a = (10.0 - 7.5)ms^{-1} \over (20 - 15)s

Or  a = 2.5 ms^{-1} \over 5s

Or  a = 0.5 ms^-2