Question

Describe all equation of motion​

Answer 1

Answer:

First equation

from definition of acceleration:

$a = \frac{change \: in \: velocity}{time} \\ \\ a = \frac{v - u}{t} \\ \\ at = v - u\\ { \boxed{v = u + at}}$

Second equation

from displacement:

$s = (average \: velocity) \times time \\ s = ( \frac{v + u}{2} ) \times t \\ \\ 2s = (v + u)t$

but v is u + at :

$2s = \{(u + at) + u \} \times t \\ \\ 2s = (2u + at)t \\ 2s = 2ut + {at}^{2} \\ s = \frac{2ut}{2} + \frac{a {t}^{2} }{2} \\ \\ { \boxed{s = ut + \frac{1}{2} {at}^{2} }}$

third equation

from displacement:

$s = ( \frac{v + u}{2} )( \frac{v - u}{a} ) \\ \\ 2as = (v + u)(v - u) \\ 2as = {v}^{2} - {u }^{2} \\ \\ { \boxed{ {v}^{2} = {u}^{2} + 2as }}$

s » displacement

v » final velocity

u » initial velocity

a » acceleration

t » time

Answer 2

Answer:

They are three equations