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A particle, starting from rest moves along x-axis for some time with constant acceleration of 2 m/s². After some time it starts moving with constant retardation of 3 m/s²and stops. If total time of travel is 20 second, its maximum velocity is

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24 m/s

18 m/s

12 m/s

32 m/s

answer is A.

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Detailed Solution

Total time of travel= 20s

Let it travel with constant acceleration 2 $m / s^{2}$ for t sec. Then it travels for 20-t sec with constant retardation 3 $m / s^{2}$

v= 2t

v- (20-t)3=0

5t=60

t=12

thus v= 24m/s

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