Question

The velocity of a particle v moving with simple harmonic motion at any instant is given by

Answer 1

let the function of the position of the particle with simple harmonic motion be,

y=Asin(wt)

where y=position of the particle

A=amplitude of the motion

w=angular frequency of the particle

t=instantaneous Time

so velocity is the rate of change in the position of the particle.

ie. v(t)=dy/dt=Acos(wt)*w

v(t)=Awcos(wt)

this is the expression for velocity at any instant of time.

hope this helps you out...

Answer 2

velocity

v=Awcos(wt)

where A=amplitude

w=angular frequency

t=time

cos()=cos function