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

$\mathrm{\Delta }v=v-v_o$

The Change in Time

$\mathrm{\Delta }t=t-t_o$

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

$a=\frac{\mathrm{\Delta }v}{\mathrm{\Delta }t}=\frac{v-v_o}{t-t_o}$

$\mathrm{\Delta }v=a\mathrm{\Delta }t$

$v=v_o+a(t-t_1)$

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