calculus

If an equation of motion of a particle is given by s(t)= Acos(ùt + ä), the particle is said to undergo simple harmonic motion. Find the velocity of the particle at time t. When is the velocity 0?

asked by Belinda
  1. the velocity at time t is the derivative.
    the derivative of s(t) with respect to t =
    -A*sin(ùt + ä)(t) assuming that everything but t and s(t) are constent.
    to find out when the velocity is 0 we just have to set the derivative = to 0 and solve for t so it looks like the velocity is 0 whent t=0 -A=0 or sin(u*t+a)=0

    posted by johnathon

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