Square root relationship: height versus velocity

Conservation of energy for a falling object generates a square root mathematical relationship between the height at which the object is released and the resulting velocity. The following chart animates this relationship. In this instance, the "ball" at the bottom moves at a speed which represents the change in speed for a given increase in height. This is not acceleration - height is not time. The chart depicts a system where the acceleration on the system is 5 cm/s²

Square root relationship: height versus velocity background rectangle major grid lines axes a path height versus velocity text layers Height versus velocity height (cm) velocity (cm/s) Click on the pink ball to start animation y-axis labels 00 02 04 06 08 10 x-axis labels 00 02 04 06 08 10