Can a body nhave zero velocity and finite acceleration?

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Discussion Response Post to: Can a body nhave zero velocity and finite acceleration?

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Neeraj Phadnis (63)

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Yes of course, at the extremities of a linear SHM.

A standard SHM has equations:

x = Asin(wt)

v = Awcos(wt)

a = -Aw²sin(wt)

where A is amplitude (max displacement from mean position) and w is angular frequency.

Now at extreme position, x=A. Put it in 1st equation, you'll get (wt). Subst this in 2nd and 3rd equations. You'll get v=0 and a=-Aw^2.

Thus the body has non-zero (actually maximum) acceleration and at the same time zero velocity.

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