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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 find displacement of the particle 2 seconds after starting.

A
26 m
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B
263 m
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C
307 m
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D
267 m
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Solution

The correct option is B 263 m
a=(3t2+2t+1)
v0dv=t0(3t2+2t+1dt)(a=dvdt)
v=t3+t2+t
v=dsdt
ds=vdt

Assume it will cover s displacement in 2 seconds.
s0ds=20(t3+t2+t)dt
s=[t44+t33+t22]20
s=4+83+2
s=12+8+63=263 m

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