Question

if the equation of motion of a particle is given by s = a cos(t ), the particle is said to undergo simple harmonic motion. (a) find the velocity of the particle at time t.

Answer 1

The velocity of the particle at time t in simple harmonic motion is -a sin(t).

Step-by-step explanation:

The equation of motion for a particle undergoing simple harmonic motion is given by s = a cos(t). To find the velocity of the particle at time t, we can take the derivative of the displacement equation with respect to time. The derivative of a cos(t) with respect to t is -a sin(t). Therefore, the velocity of the particle at time t is -a sin(t).