An obnoxious brat assigns his 0.0227-kilogram 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 83.5 N/m and is initially compressed 0.133 m. When Mickey reaches maximum height, he has a horizontal velocity with a speed of 2.29 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.