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**1. Homework Statement**

For a particle in simple harmonic motion, show that vmax = (pi/2) vaverage, where vaverage is the average speed during one cycle of the motion.

**2. Homework Equations**

v(t) = -vmaxsin(wt + phi)

vmax = 2piA/ T = wA

**3. The Attempt at a Solution**

I'm really not sure at all how to start this, but Im guessing there really wouldn't be a numerical value just theory based?