# Uniform rectilinear motion

`d = v * t`

Equation of a uniform rectilinear motion.

Equation of a uniform rectilinear motion.

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

## Equation of a uniform rectilinear motion

Uniform rectilinear motion is characterized by:

- a straight line trajectory,

- a constant direction of motion,

- a constant speed of motion equal to the initial speed.

From a vector point of view, the velocity vector is constant over time:

`\vec(v) = \vec(v_0)`,

`\vec(v_0)` being the initial speed vector.

Some consequences of these properties:

- acceleration, measuring the change in speed over time, is zero at all times.

- The object in motion travels equal distances in equal intervals of time.

Equations of uniform rectilinear motion can be written in this way,

a : acceleration at the instant t

v : speed at the instant t

v_{0} : initial speed at the instant t=0

d : displacement at the instant t

Then, at any instant t,

`a = 0``v = v_0`

`d = v * t`