The equation of motion of a particle performing linear S.H.M is x=5 [4 t- 6 ] , where x is its displacement in cm . The velocity of the particle when its displacement is 3 ~cm , is

Step-by-step solution

Comparing with standard equation: x=a [ t+ ] The amplitude of the wave is a=5 and the angular velocity of the wave is =4 The velocity of the wave can be obtained by taking derivative as: aligned & d x d t = a [ t+ ]= a^2-x^2 & v= a^2-y^2 =4 (5)^2-(3)^2 =16 ~cm / s aligned