Add kinetic and potential energy to get total mechanical energy and check conservation.
Without dissipation, mechanical energy is conserved and simply moves between kinetic and potential forms. The maximum height and speed figures are the two extremes of that exchange. Conservation lets you answer questions about the end state of a system without tracking the motion in between, which is why it is the first tool to reach for.
Mechanical Energy
E = ½ m v² + m g h
E = ½ m v² + m g h Without dissipation, mechanical energy is conserved and simply moves between kinetic and potential forms. The maximum height and speed figures are the two extremes of that exchange.
Conservation lets you answer questions about the end state of a system without tracking the motion in between, which is why it is the first tool to reach for.
This calculator takes 4 inputs: Mass, Velocity, Height, Gravitational acceleration. The pre-filled defaults are a realistic starting point — replace them with figures from your own environment for a result you can act on.