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Question

The displacement of a particle is given by (x=2t2+t+5) m. Find its acceleration at t = 2 s.


Solution

x=2t2+t+5
Velocity of the particle, v=dxdt
=d(2t2+t+5)dt
v=4t+1
Acceleration of particle, a=dvdt
=d(4t+1)dt
a=4m/s2
The acceleration of the particle is independent of time.
So, acceleration of the particle at t = 2 s is 4 m/s2.

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