Enter the height and the acceleration due to gravity into the calculator to determine the time of fall and velocity.

Height to Velocity Calculator

Enter any 2 values to calculate the missing variable

Height to Velocity Formula

The following equation is used to calculate the velocity from height.

V = SQRT( 2*H / a) * a
  • Where V is the velocity (m/s)
  • H is the height (m)
  • a is the acceleration due to gravity (m/s^2)

To convert height to velocity, multiply 2 times the ratio of the height to the acceleration, take the square root of that result, then finally, multiply the acceleration due to gravity.

Height to Velocity Conversion Table (Free fall, g = 9.81 m/s²)
Height (m) Velocity (m/s)
0.101.401
0.252.215
0.503.132
0.753.835
1.004.431
1.505.425
2.006.264
3.007.672
4.008.862
5.009.905
7.5012.124
10.0014.007
12.0015.349
15.0017.157
20.0019.810
25.0022.158
30.0024.270
40.0028.014
50.0031.336
100.0044.294
*Assumes free fall from rest, ignoring air resistance. Formula: v = √(2gh), with g = 9.81 m/s².

How to Calculate Velocity from Height?

Example Problem:

The following example outlines the steps and information needed to calculate Height to Velocity.

First, determine the height. In this example, the height is found to be 50m.

Next, determine the acceleration due to gravity. This is known to be 9.81 m/s^2.

Finally, calculate the velocity from height using the formula above:

V = SQRT( 2*H / a) * a

V = SQRT( 2*50 / 9.81) * 9.81

V = 31.32 m/s