Chuck built a spring-mounted slider to illustrate simple harmonic motion to his son . He pushes the slider to the left side, releases it and the slider starts to move in the horizontal guide. He is curious about the velocity and acceleration 2 second after the slider starts moving.

What is known:

• The displacement of the slider is expressed by
  s = 20 sin5t.
• The time, t, is 2 seconds

What is the velocity and acceleration of the slider 2 seconds after it starts to move?

• The first order derivative of the displacement with respect to time is velocity, ds/dt = v.
• The second order derivative of the displacement with respect to time is acceleration, d²s/dt² = a.
• The first order derivative of velocity with respect to time is acceleration, dv/dt = a.