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Q.

The displacement of an object attached to a spring and executing - simple harmonic motion is given by x=2×10-2 cos πt m.The time at which the maximum speed first occurs is:

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a

0.25 s

b

0.5 s

c

0.75 s

d

0.125 s

answer is B.

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Detailed Solution

Speed =dxdt=2×10-2×π-sin πtFor maximum speed sin πt=1⇒ πt=π2⇒t=0.5 s

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The displacement of an object attached to a spring and executing - simple harmonic motion is given by x=2×10-2 cos πt m.The time at which the maximum speed first occurs is: