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Question

A particle moves in straight line such that its displacement x at time t is x2=t2+1. Acceleration of particle at t=34 sec is.


Your Answer
A
12564 m/s2
Correct Answer
B
64125 m/s2
Your Answer
C
2516 m/s2
Your Answer
D
1625 m/s2

Solution

The correct option is B 64125 m/s2
x=t2+1v=dxdt=tt2+1a=dvdt=t2+1t2t2+1t2+1

a=1(t2+1)32
at t=34a=1(916+1)32=(45)3=64125

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