Free Fall Distance Calculator

With the free fall distance calculator, you can quickly find what height someone dropped an object from based on the time it landed or the velocity it reached. If you need to know how to calculate the distance in free fall, you're in the right place. Read on to learn the free fall distance formula and some facts about free falling.

To calculate an object's distance fallen by time, you need to use a formula that combines time t, gravitational force g, and initial velocity v_0:

h = v_0t + ½gt²

If an object begins a free fall from a certain height without an additional force or push, the initial velocity would be equal to zero, which would simplify the free fall distance formula:

h = ½gt²

To calculate the distance fallen by reached velocity, you need to:

1. Transform the velocity equation to be a function of time:

   v = v_0 + gt
t = (v - v_0)/g

2. Input the time equation into the free fall distance formula:

   h = v_0t + ½gt²
h = v_0t + ½g((v - v_0)/g)²

3. Simplify the equation:

   h = v_0t + ½(v - v_0)²/g

4. To calculate the distance with velocity - simply use the equation! You can also use our free fall distance calculator.

Example of the free fall distance an object covers in 10 seconds

1. Recognize the data of the problem. We have $v_0 = 0\ \rm m/s$ and $t=0\ \rm s$.

2. Pick the formula we described in point one of the previous section. Obtain free fall velocity: $98.07\ \rm m/s$.

3. Calculate free fall distance with the formula we shared in point three of the previous section. We get a distance of $490.33\ \rm m$.

If you liked the free fall distance calculator, check out our other related tools:

• Free fall calculator;
• Free fall velocity;
• Free fall height; and
• Free fall time.