Position via constant acceleration and time

If a body is moving with a constant acceleration, its position in space is a quadratic function of time.

Conditions:

1. Acceleration is constant, i.e. $\frac{da}{dt}=0.$

Links:

1. Wikipedia, vector counterpart of this law.

final_position

position at time.

Symbol:

x

Latex:

$x$

Dimension:

length

initial_position

position at $t=0$.

Symbol:

x_0

Latex:

$x_0$

Dimension:

length

initial_speed

speed at $t=0$.

Symbol:

v_0

Latex:

$v_0$

Dimension:

velocity

acceleration

Constant acceleration.

Symbol:

a

Latex:

$a$

Dimension:

acceleration

time

time at which final_position is measured.

Symbol:

t

Latex:

$t$

Dimension:

time

law

x = x_0 + v_0 * t + a * t^2 / 2

Latex:

$$x=x_0+v_{0}t+\frac{a{t}^2}{2}$$