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

$a={\frac {\Delta v}{\Delta t}}={\frac {v-v_{o}}{t-t_{o}}}$

$\Delta v=a\Delta t$

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