# Physics Course/Motion/Linear 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
Speed v ${\displaystyle {\frac {s}{t}}}$ = a t ${\displaystyle {\frac {m}{s}}}$
Accelleration a ${\displaystyle {\frac {v}{t}}}$ = ${\displaystyle {\frac {s}{t^{2}}}}$ ${\displaystyle {\frac {m}{s^{2}}}}$
Distance s v t = a t2 m
Force F m a kg ${\displaystyle {\frac {m}{s}}}$
Work W F s kg ${\displaystyle {\frac {m^{2}}{s}}}$
Pressure P ${\displaystyle {\frac {F}{A}}}$ kg ${\displaystyle {\frac {m}{s^{3}}}}$
Impulse Fm F t kg ${\displaystyle {\frac {m}{s}}}$
Momentum mv m v kg ${\displaystyle {\frac {m}{s}}}$
Energy E ${\displaystyle {\frac {W}{t}}}$ = ${\displaystyle F{\frac {s}{t}}}$ = F v 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

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