# Physics Course/Motion/Linear Motion

Linear Motion refers to any motion moving in a straight line without changing it's direction

## Linear Motion with constant speed over time

Any Linear Motion that has constant speed at all time can be expressed as

v(t) = V

For any motion travels a Distance in Time caused by a Force has the following characters

Characteristics Symbol Mathematic Formula Unit
Distance ${\displaystyle s}$  ${\displaystyle s}$  m
Speed ${\displaystyle v}$  ${\displaystyle {\frac {s}{t}}}$  ${\displaystyle {\frac {m}{s}}}$
Accelleration ${\displaystyle a}$  ${\displaystyle {\frac {v}{t}}}$  ${\displaystyle {\frac {m}{s^{2}}}}$
Force ${\displaystyle F}$  ${\displaystyle ma}$  kg ${\displaystyle {\frac {m}{s}}}$
Work ${\displaystyle W}$  ${\displaystyle Fs}$  kg ${\displaystyle {\frac {m^{2}}{s}}}$
Energy ${\displaystyle E}$  ${\displaystyle {\frac {W}{t}}}$  kg ${\displaystyle {\frac {m^{2}}{s}}}$

## Linear Motion with changing speed over time

Any Linear Motion travels with different speed at different time v1 at t1 and v at t

The Change in Speed

${\displaystyle \Delta v=v-v_{o}}$

The Change in Time

${\displaystyle \Delta t=t-t_{o}}$

The ratio of Change in Speed over Change in Time gives the Accelerarion of the motion

${\displaystyle a={\frac {\Delta v}{\Delta t}}={\frac {v-v_{o}}{t-t_{o}}}}$
${\displaystyle \Delta v=a\Delta t}$
${\displaystyle v=v_{o}+a(t-t_{1})}$