Question

derive V=u +at, S=ut+1/2at²​

Answer 1

Step-by-step explanation:

we know

$\sf{we\:know\:that\:a = \frac{v - u}{t} \:do\:cross\:multiplication}$

$\sf{at = v - u\:} \\ \sf{v= u + at}$

$\sf{let\:prove\:that\:s = ut + \frac{1}{2}at^2 }$

$\sf{we\:know\:that\: \frac{v + u}{2} = \frac{s}{t} }$

$\sf{from\:first\:equation\:v = u + at}\\\sf{ \frac{u + at + u}{2} = \frac{s}{t} }\\\sf{ \frac{2ut + at^2}{2} = {s} }\\\sf{do\:cross\:multiplication\: = ut + \frac{1}{2} at^2}$