Acceleration from position

`d = 1/2*a*t^2 + v_0*t`
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
v0: 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