A body starts from rest with acceleration 2 m s⁻² till it attains maximum velocity and then retards at 3 m s⁻² to rest. If total time is 10 s, the maximum speed attained is:
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Question

A body starts from rest with acceleration 2 m s⁻² till it attains maximum velocity and then retards at 3 m s⁻² to rest. If total time is 10 s, the maximum speed attained is:

G1 Physics · Accepted Answer

Let maximum speed be V. Acceleration phase time =V/2 and retardation phase time =V/3. Thus V/2+V/3=10 ⇒ 5V/6=10 ⇒ V=12 m s⁻¹. Hence option A.