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

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	F_m	$m t \frac{dv(t)}{dt}$
Momentum	m_v	$m \frac{ds(t)}{dt}$
Energy	E	$F \int v(t) dt$

Last modified on 26 December 2011, at 16:20