# Distance - Deltax = 1/2 a Deltat^2

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The Distance calculator uses the equation, Δx= ½ a ⋅ Δt2, to calculate the distance traveled (Δx) by an object from rest at the origin after a period of time (Δt) with a constant acceleration (a).                      distance traveled

INSTRUCTIONS: Choose units and enter the following:

• (Δt) The duration of travel.
• (a) The constant acceleration

Distance Traveled (Δx): The calculator returns the distance travelled (Δx) in meters.  However, this can be automatically converted into other length or distance units via the pull-down menu.

### The Math

This equation is a form of the general distance equation with no initial distance (x0= 0) and no initial velocity (v0):

where x0 and v0 are both zero.

## Notes

A common application for this equation is the travel associated with the free fall of an object under the acceleration due to gravity. In the case of Earth's gravity, the constant acceleration is approximately 9.8 m/s2 .  Note that this formula does not include other forces such as drag.

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