Physics Course/Linear Motion

Linear Motion

Linear Motion referes to any motion moving in a straight line without changing it's direction

Any Linear Motion that has constant speed at all time can be expressed as

$v(t) = V$

$a(t) = 0$

$s(t) = V t$

For any Linear Motion travels at different speed at different time

v₁ at t₁

v at t

$\Delta v = v - v_o$

∆t = $t - t_o$

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

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

$\Delta v = a \Delta t$

$\Delta v = a (t - t_o)$

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

$v = v_o + a \Delta t$

$v = v_o + \Delta v$

$s = v_o \Delta t + \frac{1}{2} \Delta v \Delta t$

$s = \Delta t [v_o + \frac{1}{2} \Delta v ]$