Posted by **veena** on Friday, August 3, 2012 at 11:21am.

A body oscillates with simple harmonic motion along the x-axis. Its displacement varies with time according to the equation x=5 sin (PIE + PIE/3). The velocity (in m/s) of the body at t=1 second is:

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**MathMate**, Friday, August 3, 2012 at 11:30am
There's probably a typo, you probably meant to post

x(t)=5 sin (π + πt/3)

The velocity is the derivative of x with respect to time, giving:

velocity=x'(t)=5(π/3)cos(π+πt/3)

Substitute t=1 in x'(t) to get the velocity at t=1.

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