Physics

The key insight is that at maximum height, the ball's velocity becomes zero—all its initial kinetic energy has been converted to gravitational potential energy. Rather than tracking the motion step-by-step, use energy conservation or the kinematic equation $v^2 = u^2 - 2g h$ directly, setting the final velocity to zero. This transforms a multi-step problem into a single, elegant calculation.

The key insight is that at maximum height, the ball's velocity becomes zero—all its initial kinetic energy has been converted to gravitational potential energy. Rather than tracking the motion step-by-step, use energy conservation or the kinematic equation $v^2 = u^2 - 2g h$ directly, setting the final velocity to zero. This transforms a multi-step problem into a single, elegant calculation.