The velocity of a particle executing simple harmonic motion is ,(m/s)

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The velocity of a particle executing simple harmonic motion is v(t)=0.30cos⁡(5πt)v(t)=0.30\cos(5\pi t) \,(m/s). At t=0t=0 the particle is at equilibrium moving in the positive direction. Derive an expression for the displacement x(t)x(t) in meters.

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