Rate of change of displacement is known as velocity. The equation for displacment (y) of a body in SHM with angular velocity co is given by y=a‌sin‌ω‌t where a is amplitude velocity v = rate of change of displacement =
dy
dt
v=
dy
dt
=
d
dt
(a‌sin‌ω‌t)=aω‌cos‌ω‌t Given, v1=v2=v3 and a1=A1,a2=A2 a3=A3 A1ω1=A2ω2=A3ω3