Question

derivation of equation for kinetic energy

Answer 1

here it is. my hand writing is not very good but I hope it will help you

Answer 2

The energy produced by a body due to the virtue of its motion is called kinetic energy.

${ \red{ \bf{ Derivation \: of\: kinetic \:energy:- }}}$

Let,

m=mass of a body at rest

F=force applied on the body

s=displacement in the direction of force

v=final velocity of the body

As, v²=u²+2as

v²=0²+2as

v²=2as

s=v²/2a

Then,

Work=fs

W=F×S

W=ma×v²/2a

W= mv²/

K = 1/2mv²