Question

derive the formula of kinetic energy​

Answer 1

Kinetic energy is a simple concept with a simple equation that is simple to derive. Let's do it twice. Derivation using algebra alone (and assuming acceleration is constant). Start from the work-energy theorem, then add in Newton's second law of motion.

Answer 2

F=ma

by using the equation of motion

v^2=u^2+2as

v^2=0+2as

v^2/2

W=m×v^2/2

by the definition of kinetic energy of body

K.E.=W=1/2mv^2