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Question

Velocity-time equation of a particle moving in a straight line is, v=(10+2t+3t2). Find displacement of particle from the origin at time t=1 s, if it is given that displacement is 20 m at time t=0

A
16 m
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B
64 m
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C
48 m
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D
32 m
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Solution

The correct option is D 32 m
The given equation can be written as,
v=dsdt=(10+2t+3t2)
ds=(10+2t+3t2)dt
s20ds=t0(10+2t+3t2)dt
It is given that displacement is 20 m at time t=0
s20=[10t+t2+t3]10
s=20+12=32 m

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