Question: An obnoxious brat assigns his 21.9-gram pet mouse Mickey the role of stunt mouse by stuffing him into a spring gun and shooting him up into the air at some angle. The gun\'s spring has a force constant of 77.5 N/m and is initially compressed 13.7 cm. When Mickey reaches maximum height, he has a horizontal velocity with a speed of 2.19 m/s.
Part A: How high above his initial location in the gun does Mickey soar?
Please use great detail in explaining the answer. Thank you.