calculus

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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?

  • calculus -

    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

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