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A 3.5kg mass is attached to an ideal spring (k = 100.0N/m) and oscillates on a...

A 3.5kg mass is attached to an ideal spring (k = 100.0N/m) and oscillates on a horizontal frictionless track. At t = 0.00s, the mass is released from rest at x = 15.0cm.

a.) Determine the frequency (f) of the oscillations.

b.) Determine the maximum speed of the mass. At what point in the motion does the maximum speed occur?

c.) What is the maximum acceleration of this mass? At what point in the motion does the maximum acceleration occur?

d.) Determine the total energy of the oscillator.

e.) What is the displacement function of this oscillator i.e. x(t) = ACos(ωt + φo) fill in the terms.

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