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Question

# A car accelerates from rest at constant rate of 2m/s2 for some time. Then its retards at a constant rate of 4m/s2 and comes to rest. if it remains in motion for 3 seconds, then the maximum speed attained by the car is:-

A
2m/s
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B
3m/s
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C
4m/s
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D
6m/s
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Solution

## The correct option is C 4m/sLet v,t1,t2 be the maximum velocity attained, time for which car accelerated and the time for which car retarded respectively⇒t1=(v−u)/a=(v−0)/2=v/2⇒t2=(v−u)/a=(0−v)/(−4)=v/4Now it is given that, ⇒t1+t2=3⇒v/2+v/4=3⇒v=4m/sHence correct answer is option C

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