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 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 brings it to rest. In this process the average speed of the car is

(A) \dfrac{aT}{4}

(B) \dfrac{3aT}{2}

(C) \dfrac{aT}{2}

(D) aT

Answer : option (C)

Solution :

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 brings it to rest. In this process the average speed of the car is
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