# 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 $s$  $s$  m
Speed $v$  ${\frac {s}{t}}$  ${\frac {m}{s}}$
Accelleration $a$  ${\frac {v}{t}}$  ${\frac {m}{s^{2}}}$
Force $F$  $ma$  kg ${\frac {m}{s}}$
Work $W$  $Fs$  kg ${\frac {m^{2}}{s}}$
Energy $E$  ${\frac {W}{t}}$  kg ${\frac {m^{2}}{s}}$

## 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

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

The Change in Time

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

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

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