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

$a=\frac{dv(t)}{dt}$

• Distance

$s=\int v(t)dt$

• Force

$F=m\frac{dv(t)}{dt}$

• 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	$\frac{dv(t)}{dt}=\frac{d^{2}s}{d{t}^2}$
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	$mt\frac{dv(t)}{dt}$
Momentum	mv	$m\frac{ds(t)}{dt}$
Energy	E	$F\int v(t)dt$