Asked by Belinda
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?
Answers
Answered by
johnathon
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
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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