Position via constant speed and time

If a body is moving with constant speed, its position can be expressed as a linear function of time.

Conditions:

  1. Speed is constant, i.e. \(\frac{d v}{d t} = 0.\)

Links:

  1. Wikipedia, derivable from the 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

speed

Constant speed.

Symbol:

v

Latex:

\(v\)

Dimension:

velocity

time

time at which final_position is measured.

Symbol:

t

Latex:

\(t\)

Dimension:

time

law

x = x_0 + v * t

Latex:
\[x = x_{0} + v t\]