# 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

$a = \frac{\Delta v}{\Delta t} = \frac{v - v_o}{t - t_o}$
$\Delta v = a \Delta t$
$v = v_o + a (t - t_1)$