This graph shows the variation of velocity with time of two cars, A and B, Which are travelling in the same direction over a period of time of 40 s.

Car A, travelling at a constant velocity of 40 m s⁻¹, overtakes car B at time t = 0. In order to catch up with car A, car B immediately accelerates uniformly for 20 s to reach a constant velocity of 50 m s⁻¹. Calculate:
a. The distance that A travels during the first 20 s
b. The acceleration and distance of travel of B during the first 20 s
c. The additional time taken for B to catch up with A
d. The distance each car will have then travelled since t = 0.

Transcribed Image Text:

50 40 A 25 20 40 Time /s Figure 2.35 Velocity/ms-1