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
 * $$v(t) = V$$


 * Acceleration
 * $$a(t) = 0$$


 * Distance
 * $$s(t) = V t$$

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
 * $$\Delta v = v - v_o$$


 * Change in Time
 * ∆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
 * Rate of Change of Speed over Time
 * $$ a = \frac{\Delta v}{\Delta t} = \frac{v - v_o}{t - t_o}$$


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


 * $$v = v_o + a (t - t_o)$$
 * $$v = v_o + a \Delta t$$
 * $$v = v_o + \Delta v$$


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