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Question

If a=(3t2+2t+1) m/s2 is the expression according to which the acceleration of a particle moving along a straight line varies, then the change in velocity after 3 seconds of its start is

A
30 m/s
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B
39 m/s
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C
3 m/s
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D
20 m/s
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Solution

The correct option is B 39 m/s
a=(3t2+2t+1)
v0dv=t0(3t2+2t+1dt)(a=dvdt)
v=t3+t2+t
v(t=0)=0
v(t=3s)=(3)3+(3)2+3
=27+9+3
=39 m/s
Δv=390=39 m/s

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