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A particle starts from rest and moves in a straight line suc...

A particle starts from rest and moves in a straight line such that its acceleration after t seconds is given by a=(3t2)ms2. Find the other time when the velocity would be zero.

A.

13seconds

B.

34seconds

C.

43seconds

D.

2seconds

Correct answer is C

Given a(t)=3t2, v(t)=(a(t))dt

= (3t2)dt=32t22t

32t22t=0t(32t2)=0

t=0 or t=32t2=0t=43

The time t = 0 was the starting point, The next time v = 0 m/s is at t=43seconds.