The following table represents the distance of a car at different instants in a fixed direction.

(a) Draw a displacement-time graph and with its help, find whether the motion of the car is uniform or non-uniform?
(b) Use graph to calculate :
(i) the velocity of car (ii) the displacement of car at t = 2.5 s and t = 4.5 s.

Explanation

The displacement-time graph for the car is shown in Fig. 2.25. Since it is a straight line OA inclined with the time axis, so the motion of car is with

(b) (i) Velocity = Slope of the straight line OA
`= (BA)/(OB)= ((50 -0)m)/((5-0)s)= (50m)/(5s) = 10 m s^(-1)`
(ii) From the graph it is clear that at t = 2.5 s
displacement is 25 m and at t = 4.5 s
displacement is 45 m .