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

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