Question

Derivation of formula of kinetic energy by using the formula v2 – u2 = 2as

Answer 1

F=ma ........(1)...using Newton's second law o motion
s=ut+1/2 at*t......using Newton's second equation of motion
s=1/2 at*aware
W=ma*1/2 at*t
W=1/2 m(at2)...........(3)

Using Newton's third equation of motion.........
v2-u2=2as
:v2=0+2*1/2at2
:v2=(at2)...........(4)
W=1/2mv2..............using equation (3) and (4)
The kinetic energy gained by an object is the amount of work done on the object of
K. E=W
K. E=1/2mv2