Q.

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/s2     and stops.   If total time of travel is 20 second, its maximum velocity is

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a

b

c

d

answer is A.

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Detailed Solution

Total time of travel= 20sLet it travel with constant acceleration 2m/s2 for t sec. Then it travels for 20-t sec with constant retardation 3m/s2v= 2tv- (20-t)3=05t=60t=12thus v= 24m/s
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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/s2     and stops.   If total time of travel is 20 second, its maximum velocity is