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

vCollections.Distance - `Deltax = 1/2 a Deltat^2`

The **Distance** calculator uses the equation, Δx= ½ a ⋅ Δt^{2}, 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 (x_{0}= 0) and no initial velocity (v_{0}):

where x_{0} and v_{0} are both zero.

### References

- Light and Matter(Dr. Benjamin Crowell) Chapter 3.6 Algebraic results for constant acceleration

## 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/s^{2} . Note that this formula does not include other forces such as drag.

# See Also

- Force of Drag - equation for the effect (force) of drag
- Vector Calculator (3D) - vector calculator in 3D
- Motion Calculator - calculator with equations related to motion.

**Distance - `Deltax = 1/2 a Deltat^2`**, references 1 equation/constant.

**Equations and Constants **

**Distance - `Deltax = 1/2 a Deltat^2`**, is used in 1 calculator.

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**Distance - `Deltax = 1/2 a Deltat^2`**, is listed in 1 Collection.