A car starts from rest and moves with uniform acceleration a on a straight road from time t = 0 to t = T . After that, a constant deceleration of magnitude a brings it to rest. In this process the average speed of the car is

Question

A car starts from rest and moves with uniform acceleration a on a straight road from time t = 0 to t = T . After that, a constant deceleration of magnitude a brings it to rest. In this process the average speed of the car is, a T 4, 3 a T 2, a T 2, a T

MARKS App · Accepted Answer

Distance while accelerating X 1 = 1 2 a T 2 ......(1) Velocity v = a T .......(2) Time taken during deceleration 0 = a T - a t t = T ∴ Distance while decelerating x 2 = a T T - 1 2 a T 2 x 2 = 1 2 a T 2 .......(3) Average Speed = x 1 + x 2 T + T v a v = 1 2 a T 2 + 1 2 a T 2 2 T v a v = a T 2

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