Question

If y denotes the displacement and t denotes the time and the displacement is given by y=a sinwt ,the velocity of particle is what?

Answer 1

y= a sinwt
dy/dt=v= acoswt .w
v=wa coswt
on differentiating displacement wrt to time ,we gets velocity

Answer 2

If a is a positive constant then it will remain as it is and derivative of sin (x) is cos (x) so when we differentiate we get dy/dt=v= a cos (wt)