physics (3 separate questions)

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1. The motion of a body is described by the equation ay = −308y.
(a) Find the angular frequency.


(b) Find the frequency.


(c) Find the period.

2. A 2.10 kg mass attached to a spring oscillates with a period of 0.395 s and an amplitude of 20.5 cm.
(a) Find the total mechanical energy of the system


(b) Find the maximum speed of the mass.


3. The motion of a body is described by the equation
1.90 sin (0.180πt)
where t is in s and y is in m.
(a) Find the amplitude.


(b) Find the period.


(c) Find the frequency.


(d) Find the displacement at t = 5.00 s.


(e) Find the displacement at t = 26.0 s.

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