The displacement of an object attached to a spring and executing simple harmonic motion is given by X=2Ã10â2 cost Ït metre. The time at which themaximum speed first occurs is

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0.125 s

0.25 s

0.5 s

0.75 s

answer is C.

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Detailed Solution

given that X=2Ã10â2cosâ¡ÏtV=dxdt=2ÏÃ10â2sinâ¡ÏtThe velocity would be maximum when sin Ït=Â±1For first time maximum velocityÏt=Ï/2 or t=12=0â5 second.

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