Distance - constant acceleration

vCalc Reviewed
Equation / Last modified by Administrator on 2019/02/28 07:06
vCalc.Distance - constant acceleration

The Distance Traveled at Constant Acceleration calculator computes the distance traveled (dx) by an object after a period of time (t), based on its initial distance from the origin (x), the object's initial velocity (V) and a constant acceleration (a).

INSTRUCTIONS: Choose units and enter the following:

  • (x0) This is the initial displacement
  • (t) This is the duration of travel.
  • (V0) This is the initial velocity
  • (a) This is the constant acceleration

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

Distanceconstantacceleration-illustration.pngdistance traveled a.k.a. displacement

The Math / Science

The formula for the distance traveled with constant acceleration is:
     dx = x+v⋅t+½⋅a·t²


A common application for this equation is the travel associated with the free fall of an object under the force of gravity. In the case of Earth's gravity, the constant acceleration is approximately 9.80665 m/s2.  Note that this formula does not include other forces such as drag.

Motion Calculators:


See this video discussing a real use for this equation:


See Also


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