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