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=1s, if it is given that displacement is 20m at time t=0
A
16m
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B
64m
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C
48m
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D
32m
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Solution
The correct option is D32m The given equation can be written as, v=dsdt=(10+2t+3t2) ds=(10+2t+3t2)dt s∫20ds=t∫0(10+2t+3t2)dt ∵ It is given that displacement is 20m at time t=0 s−20=[10t+t2+t3]10 s=20+12=32m