A particle is oscillating simple harmonically with angular frequenc...

A particle is oscillating simple harmonically with
angular frequency \( \omega \) and amplitude \( \mathrm{A} \). It is at a
point (P) at a certain instant (shown in figure). At
this instant it is moving towards mean position (Q).
It takes time \( t \) to reach mean position \( Q \). If time
period of oscillation is \( \mathrm{T} \), the average speed
between \( \mathrm{P} \) and \( \mathrm{Q} \) is :-
(1) \( \frac{A \sin \omega t}{t} \)
(2) \( \frac{A \cos \omega t}{t} \)
(3) \( \frac{A \cos \omega t}{T} \)
(4) \( \frac{A \sin \omega t}{T} \)