The equation of motion for a mass at the end of a particular

The equation of motion for a mass at the end of a particular spring is y(m) = 0.30 cos (0.50t). Find the displacement, velocity and acceleration of the mass at t = 0 t = 3.0 s

Solution

Displacement:

y=.3cos(.5t)

At t=0, y=.3m

At t=3s, y =.021m

Velocity: -.15sin(.5t)

At t=0, v=0

At t=3s, v=.0224m/s

Acceleration: -.075cos(.5t)

At t=0, a=-.075m/s^2

At t=3s, a=.053m/s^2