Physics Course/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


 * {| width=100% align=left border=1

! Characteristics !! Symbol !! Mathematic Formula !! Unit
 * Distance || $$s$$ || $$s$$ || m
 * Speed || $$v$$ || $$\frac{s}{t}$$ || $$\frac{m}{s}$$
 * Accelleration || $$a$$ || $$\frac{v}{t}$$ || $$\frac{m}{s^2}$$
 * Force || $$F$$ || $$m a$$ || kg $$\frac{m}{s}$$
 * Work || $$W$$ || $$F s$$ || kg $$\frac{m^2}{s}$$
 * Energy || $$E$$ || $$\frac{W}{t}$$ || kg $$\frac{m^2}{s}$$
 * }
 * Force || $$F$$ || $$m a$$ || kg $$\frac{m}{s}$$
 * Work || $$W$$ || $$F s$$ || kg $$\frac{m^2}{s}$$
 * Energy || $$E$$ || $$\frac{W}{t}$$ || kg $$\frac{m^2}{s}$$
 * }
 * Energy || $$E$$ || $$\frac{W}{t}$$ || 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
 * $$ a = \frac{\Delta v}{\Delta t} = \frac{v - v_o}{t - t_o}$$
 * $$\Delta v = a \Delta t$$
 * $$ v = v_o + a (t - t_1)$$