Potential energy is greatest at the extreme position, whereas kinetic energy is greatest at the mean position.
Without any initial values being provided, only a theoretical solution is appropriate. Since the ball's mass (m) and g (g = m * g * h) are constants, and the height is the only variable, the highest the ball may go is when it will have the most potential energy (E(p) = m * g * h). The greater the height, the greater the potential energy.
However, when the ball's velocity is at its highest, E(k) = m * v 2 / 2 reaches its maximum (m is also unchanged in this situation). In light of the fact that, theoretically, the ball loses velocity when it loses momentum, the key question is when the ball's velocity is at its maximum.
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