Physics Course/Non Linear Motion

Non Linear Motion
Non Linear Motion refers to any non straight line motion with changing direction

Characteristics
For any Non Linear Motion can be represented mathematically as a function of speed in time, v(t) then


 * Speed
 * v = v(t)


 * Accelleration
 * $$a = \frac{d v(t)}{dt}$$


 * Distance
 * $$s = \int v(t) dt$$


 * Force
 * $$F = m \frac{d v(t)}{dt}$$


 * Work Done
 * $$W = F \times s = F \int v(t) dt$$


 * Energy
 * $$W = \frac{F}{t} = \frac{F}{t} \int v(t) dt$$

Summary

 * {| class="prettytable" width=100% align=left

! Characteristics !! Symbol !! Calculus Equation
 * Speed || v || $$\frac{ds(t)}{dt}$$
 * Accelleration || a || $$\frac{dv(t)}{dt} = \frac{d^2s}{dt^2}$$
 * Distance || s || $$\int v(t) dt$$
 * Force || F || $$m \frac{dv(t)}{dt}$$
 * Work || W || $$\frac {F}{t} \int v(t)dt$$
 * Pressure || P || $$\frac{ds(t)}{dt}$$
 * Impulse || Fm || $$m t \frac{dv(t)}{dt}$$
 * Momentum || mv || $$m \frac{ds(t)}{dt}$$
 * Energy || E || $$F \int v(t) dt$$
 * }
 * Pressure || P || $$\frac{ds(t)}{dt}$$
 * Impulse || Fm || $$m t \frac{dv(t)}{dt}$$
 * Momentum || mv || $$m \frac{ds(t)}{dt}$$
 * Energy || E || $$F \int v(t) dt$$
 * }
 * Momentum || mv || $$m \frac{ds(t)}{dt}$$
 * Energy || E || $$F \int v(t) dt$$
 * }
 * }
 * }