A 0.500-kg mass is attached to a vertical spring and the system is allowed to come to

Question:

A 0.500-kg mass is attached to a vertical spring and the system is allowed to come to equilibrium. The mass is then given an initial downward speed of 1.50 m/s. The mass travels downward 25.3 cm before stopping and returning.
(a) Determine the spring constant.
(b) What is its speed after it falls 15.0 cm?
(c) What is the acceleration of the mass at the very bottom of the motion?