Question

(Explain):- Velocity is ahead of displacement by phase angle pi/2 radian.

Answer 1

Let x= a sin(wt)
where, x= distance
after differentiating with respect to time we get,
x* = a×w×cos(wt)
x* = a×w×sin(wt+pi/2)
Here we can see that phase angle is pi/2.
So, we can say that velocity is ahead of displacement by phase angle pi/2.