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Question

Physics Question on simple harmonic motion

The displacement of an object attached to a spring and executing simple harmonic motion is given by x=2??10−2 cos πtx = 2 ??10^{-2}\, cos\, \pi t metres. The time at which the maximum speed first occurs is

A

0.5 s0.5\, s

B

0.75 s0.75\, s

C

0.125 s0.125\, s

D

0.25 s0.25\, s

Answer

0.5 s0.5\, s

Explanation

Solution

x=2??10−2 cos πtx = 2 ??10^{-2}\, cos\, \pi t v=−0.02π sin πtv = -0.02\pi\, sin\, \pi t vv is maximum at t=12=0.5 sect=\frac{1}{2}=0.5\,sec