A student pushes a baseball of m = 0.13 kg down onto the top of a vertical spring that has its lower end fixed to a table, compressing the spring a distance of d = 0.18 meters from its original equilibrium point. The spring constant of the spring is k = 970 N/m. Let the gravitational potential energy be zero at the position of the baseball in the compressed spring.

A. What is the maximum height, h, in meters, that the ball reaches above the equilibrium point?

B. What is the ball’s velocity, in meters per second, at half of the maximum height relative to the equilibrium point?