# Physics Course/Linear Motion

## Linear Motion

Linear Motion referes 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

• Speed
${\displaystyle v(t)=V}$
• Acceleration
${\displaystyle a(t)=0}$
• Distance
${\displaystyle s(t)=Vt}$

## Linear Motion with changing speed over time

For any Linear Motion travels at different speed at different time

v1 at t1
v at t
• Change in Speed
${\displaystyle \Delta v=v-v_{o}}$
• Change in Time
∆t = ${\displaystyle t-t_{o}}$

The ratio of Change in Speed over Change in Time gives the Accelerarion of the motion or The Rate of Change of Velocity versus Time

• Rate of Change of Speed over Time
${\displaystyle a={\frac {\Delta v}{\Delta t}}={\frac {v-v_{o}}{t-t_{o}}}}$

${\displaystyle \Delta v=a\Delta t}$
${\displaystyle \Delta v=a(t-t_{o})}$
${\displaystyle v=v_{o}+a(t-t_{o})}$
${\displaystyle v=v_{o}+a\Delta t}$
${\displaystyle v=v_{o}+\Delta v}$
${\displaystyle s=v_{o}\Delta t+{\frac {1}{2}}\Delta v\Delta t}$
${\displaystyle s=\Delta t[v_{o}+{\frac {1}{2}}\Delta v]}$