Question

A 0.46 kg object connected to a light spring with a force constant of 24.8 N/m oscillates on a frictionless horizontal surface. If the spring is compressed 4.0 cm and released from rest.
(a) determine the maximum speed of the object(cm/s)
(b) determine the speed of the object when the spring is compressed 1.5 cm(cm/s)
(c) determine the speed of the object when the spring is stretched 1.5 cm(cm/s)
(d) for what value of x does the speed equal one-half the maximum speed?(cm)