1velocity zero does not imply that the rate of change of velocity is also zero, for ex. at x=0 , sin(x) is 0 but dy/dx at x=0 for sin(x) is 1
You attach a weight to a vertical fixed spring and release it from rest. When the weight reaches its lowest point, its velocity is zero. So a=dv/dt = 0
But if you apply equation of S.H.M. i.e. a = -Ñ¡2x, x (displacement from the position) is max and hence the magnitude of acceleration is maximum. This equation too is derived from a = dv/dt
How do you resolve this paradox?
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