Elias serves a volleyball at a velocity of 16 m/s. The mass of the volleyball is 0.27 kg. What is the height of the volleyball above the gym floor when its total mechanical energy is 41.70 J? Round to the nearest number.

At maximum height, kinetic energy is converted in potential energy

Formula: At max height, KE = ½ * 0.27kg * (16m/s) ² = 34.56 J so the remaining PE = (41.70 - 34.56) = 7.14 J = 0.27 kg * 9.8m/s² * h = (9.8/7.14 * 0.27) so max height h = 5.08 or 5 m