Question

A particle executes shm with time period t and amplitude



a.The maximum possible average velocity in time t/4

Answer 1

Here is the answer to your question

Answer 2

A particle executes shm with time period t and amplitude  then the maximum possible average velocity in time t/4 will be $\frac{4A}{T}$

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

• The velocity will be v=Aw cos wt.

• The average of velocity over T/4 time interval will be given by

                (4/T)  $\int\limits^\frac{T}{4} _0 {v} \, dt$

if  x=A sin wt then v= Awcoswt

which gives us average velocity in time t/4 equal to  $\frac{4A}{T}$