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The velocity vms1 of a particle moving in a straigh...

The velocity vms1 of a particle moving in a straight line is given by v=3t22t+1 at time t secs. Find the acceleration of the particle after 3 seconds.

A.

26ms2

B.

18ms2

C.

17ms2

D.

16ms2

Correct answer is D

v(t)=3t22t+1

dvdt=a(t)=6t2

a(3)=6(3)2=182=16ms2