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Questions  

The displacement of an object attached to a spring and executing simple harmonic motion is given by X=2×10−2 cost Ï€t  metre. The time at which the
maximum speed first occurs is

a
0.125 s
b
0.25 s
c
0.5 s
d
0.75 s

detailed solution

Correct option is C

given that X=2×10−2cos⁡πtV=dxdt=2π×10−2sin⁡πtThe velocity would be maximum when sin Ï€t=±1For first time maximum velocityπt=π/2 or t=12=0⋅5 second.

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