A ball is thrown directly upward. the ball is 1.35 m above the ground when thrown. The ball reaches a max height of 7.68 m above the ground. Assuming air resistance can be ignored, at what speed was the ball thrown?

initial KE becomes gravitational PE ... 1/2 m v^2 = m g h ... v = √(2 g h)

v = √[2 * 9.81 * (7.68 - 1.35)]