# Acceleration from position

Relationship between acceleration, position and time in the case of a uniformly accelerated or decelerated straight line motion.

**Enter 'x' in the field to be calculated.**

## Uniformly accelerated linear motion

This tool calculates the equation of a uniformly accelerated rectilinear motion (ie constant acceleration) involving acceleration, displacement (d) and time (t).

a: Constant acceleration of the object

d: traveled distance between 0 and t

v_{0}: initial speed (at instant 0)

In a uniformly accelerated motion, the rate of change in velocity is constant over time. The equation that connects acceleration, time and position of the moving object is,

`d = 1/2*a*t^2 + v_0*t`

## Uniformly linear slowed motion

In that case, the speed of the moving object is slowing down over time with a negative constant rate of variation. This is a deceleration instead of acceleration in the previous case. The above equation is still valid,

`d = 1/2*a*t^2 + v_0*t`

`a < 0`

**Calculator use : to enter large values or powers of 10,**

enter 1e10 for `10^10`

enter 5.4e6 for `5.4*10^6`

## See also

Calculate acceleration from force

Calculate acceleration from speed

Unit Converters