what is the derivation of kinetic energy?
Kinetic energy - The energy possessed by virtue of its motion is said to be kinetic energy.
K E = 1/2 mv2
Derivation: We know that,
W = f x s
but f = ma
W = mas …… (1)
By 3rd eqn of motion,
v2 = u2 + 2as
at rest, u=0
v2 = 2as
as = 1/2 v2
Substituting in eqn 1, we get,
W = 1/2 mv2
Since work done is stored in kinetic energy.
so, K.E. = 1/2 mv2