Calculate Height, Fall Time and Speed
Calculator for the height from which something falls, the duration of the fall and the speed at the end, at a perpendicular fall and without the air resistance. For compact, heavy objects and heights up to a few meters or yards, the air resistance can be neglected. The more, the heavier and more compact the falling object is. The average g-acceleration on Earth is 9.81 m/s².
Enter one value at height, time and speed, the other two values will be calculated.
Example: at a straight jump from a ten meters tower, the jumper's center of gravity is about 11 meters above the water. So the flight takes 1.5 seconds and the diving into the water is at a speed of 53 kilometers per hour.
The formulas are h=g/2*t² and v=g*t. The height is the distance you fall in a certain time. This increases with the square of the time, in contrast to the speed of fall, which increases linearly with time. For the first meter you need just under half a second (0.452 seconds to be exact), and for the first two meters it is 0.639 seconds. So the time needed for the second meter is 0.187 seconds, less than half that for the first meter. For the meter between 10 and 11 you only need 0.07 seconds. As mentioned before, this is only for the case with no air resistance, because at such speeds it already plays a role. If an average person falls this distance, air resistance slows the speed by around 10 percent, although an exact calculation is very difficult. Extrapolating this deceleration to other speeds is extremely error-prone. For the final speed when falling with air resistance, beyond which acceleration stops, see fall velocity.
German: g-Beschleunigung