A 32 kg mass-spring system, with a spring constant of 250 N/m, is laid flat on a frictionless table. After being displaced and released from rest, the mass oscillates between the 0.35 m and 0.93 m mark on a meter stick. part b. What is the total mechanical energy of the mass-spring system?
part c. Once released, what are the period and frequency of the resulting motion?
part d. What is the speed of the system when the mass is a distance of 0.31 m from equilibrium?

Aball is thrown from the top of a building with an initial velocity of 21.9 m/s straight upward, at an initial height of 51.6 m above the ground. the ball just misses the edge of the roof on its way down, as shown in the figure. (a) determine the time needed for the ball to reach its maximum height. (b) determine the maximum height. (c) determine the time needed for the ball to return to the height from which it was thrown, and the velocity of the ball at that instant. (d) determine the time needed for the ball to reach the ground. (e) determine the velocity and position of the ball at t = 5.35 s.