Calculate vertical jump height from hang time, or hang time from jump height or takeoff speed, using Earth, Moon, Mars or custom gravity.
Hangtime Formula
The following formula gives total ideal hangtime for a jump landing at its takeoff elevation, with constant gravity and no air resistance. The height is the center-of-mass rise above takeoff, not reach height.
Variables:
- HT is the hangtime (seconds)
- h is the height of the jump (meters)
- g is constant gravitational acceleration in m/s². The default is conventional standard Earth gravity9.80665m/s²; the example uses9.8.
To calculate total hangtime, multiply vertical rise by8, divide by gravity and take the square root. The expression√(2h/g) gives the time to peak or the fall time from rest; total same-elevation flight is twice that value.
What is a Hangtime?
Hangtime refers to the duration of time that an object, typically in sports like basketball or football, remains in the air without touching any surface. It is often used to measure the time a player stays in the air during a jump or the time a ball stays in the air after being kicked or thrown. For the same gravity and takeoff/landing elevation, longer total hangtime implies greater vertical rise. Horizontal distance also depends on horizontal velocity and cannot be inferred from hangtime alone.
How to Calculate Hangtime?
The following steps outline how to calculate the Hangtime (HT) using the given formula:
- First, determine the height of the jump (h) in meters.
- Next, determine the acceleration due to gravity (g) in m/s2.
- Next, substitute h and g into the total-flight formula HT = √(8 * h / g).
- Finally, calculate the Hangtime (HT) using the formula.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge:
height of the jump (h) = 10 meters
acceleration due to gravity (g) = 9.8 m/s2
