Question

Amplitude 5m time period 4s minimum time from a to b

Answer 1

Suppose, SHM is represented by x=A sin wt.

The velocity will be v=Aw cos wt.

The average of v over T/4 time interval is, by definition, given by

<v>=(4/T) Integration from t=0 to t= T/4 of v dt=(4/T) integration from t=0 to t=T/4 of Aw cos wt=(4/T)A=4A/T.