An obnoxious brat assigns his 18.7-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 90.1 N/m and is initially compressed 12.7 cm. When Mickey reaches maximum height, he has a horizontal velocity with a speed of 2.43 m/s. How high above his initial location in the gun does Mickey soar? (In case you are worried, a miniature parachute opens at this point and Mickey lands safely. The brat is slightly less obnoxious than we thought.) Take g = 9.81 m/s2.