Question: A mass on a spring vibrates horizontally on a smooth level surface (see the figure). Its equation of motion is x(t) = 8 sin t,

A mass on a spring vibrates horizontally on a smooth level surface (see the figure). Its equation of motion is x(t) = 8 sin t, where is in seconds and in centimeters.
(a) Find the velocity at time t.
(b) Find the position and velocity of the mass at time t = 2π/3. In what direction is it moving at that time?

equilibrium position

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