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	$\frac{s}{t}$ = a t	$\frac{m}{s}$
Accelleration	a	$\frac{v}{t}$ = $\frac{s}{t^2}$	$\frac{m}{s^2}$
Distance	s	v t = a t2	m
Force	F	m a	kg $\frac{m}{s}$
Work	W	F s	kg $\frac{m^2}{s}$
Pressure	P	$\frac{F}{A}$	kg $\frac{m}{s^3}$
Impulse	Fm	F t	kg $\frac{m}{s}$
Momentum	mv	m v	kg $\frac{m}{s}$
Energy	E	$\frac{W}{t}$ = $F \frac{s}{t}$ = F v	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

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

$\Delta v = a \Delta t$

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