Free Fall Calculator

Calculate the time of falling, and final velocity of an object, (or human), in free fall. Enter the initial velocity and height and this calculator will determine the final speed and time. (Assuming earth’s gravitational acceleration.

Free Fall Formula

The formula to calculate the final velocity of an object in free fall is:

v = v₀ + g * t

  • Where v is final velocity
  • v₀ is the initial velocity
  • g is the acceleration due to gravity
  • t is total time.

All of these values are typically known in a free fall problem except time. To calculate time we to use the following formula:

\ t=\ {\sqrt  {{\frac  {2d}{g}}}}
  • where t is total time
  • d is distance traveled (height)
  • g is the acceleration due to gravity.

How to calculate free fall

Lets look at an example of how to calculate the kinematic values of an object in free fall.

Lets assume that you’re going on a skydiving adventure, but everything goes wrong! How long do you have to live before you hit the ground and how fast will you be going.

First, we will calculate the final time. Lets assume you’re jumping from a height of 10,000 meters. Using the formula above, we get a total time of 45.17 seconds. Not too long to live buddy, sorry!

Next, we will need to calculate how fast you will be going to see if you can survive the fall…(hint you can’t). Using the time from above and assuming an initial velocity of 0, we get a final velocity of 442.66m/s.

It should be noted that in a real world application you would not be going so fast due to the resistance of airspeed. The formulas above assume a vacuum.

The following steps are required to calculate an object in free fall.

  1. First, you need the height of the object.
  2. Second, you need the mass of both objects. More detail on this can be found in our gravitational force calculator.
  3. Last, you need to understand the formula for velocity of an object undergoing free fall.
free fall calculator

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