A simple harmonic motion of a particle is represented by an equation x= 5 sin(4t -(pi)/(6)), where x is its displacement. If its displacement is 3 unit then find its velocity.

A simple harmonic motion of a particle is represented by an equation x

1.	A simple harmonic motion of a particle is represented by an equation x= 5 sin(4t -(pi)/(6)), where x is its displacement. If its displacement is 3 unit then find its velocity.
Answer» `(2pi)/(3)` `(5pi)/(6)` `20` `16` Solution :`A= 5" and "omega = 4 RAD s^(-1)` `v= omega SQRT(A^(2)-y^(2))= 4 sqrt(25-9)= 16` unit.