kinetic energy equation proof and explanation

we have explained in detail about the Kinetic Energy and derived the equation of kinetic energy.
The Kinetic Energy is the energy possessed by a body due to its motion. If a body is in motion then that body will have some kind of velocity and mass. knowing the velocity and mass of that object we can easily calculate the kinetic energy by using the equation of kinetic energy which. Ke=1 divided by m v square.
we have proved the equation of kinetic energy by two simple method one by using calculus and the second method was based on the second equation of motion.
using first method which is based on 2nd equation of motion we have substituted the value of displacement form second equation of motion in work equation. and substituted the initial velocity equal to zero finally we got the equation of kinetic energy.
In the second method we have substituted the value of force in work equation and the integrated the velocity term.

[shishirvasistam]

Sir thank you i tried seeing many channels but I could not understand but when I saw this video it was so clear thanks to u

[nuranichandra]

In the calculus method, it is actually a small work done by force F in moving a particle through a small distance ds. Thus dW = F.ds. The total work is obtained in moving the particle from A to B will be integral of dW.

[JP-myhs]

For first method of derivation how do u know to use that specific equation of motion for displacement? For example could u use S=ut+1/2at^2?

[tomeryud]

how can you do an integral on only 1 side of the equation?

[malekstudies]

thank you! nice simple and clear😀😀☺️😉😌😊😘😘

[Godgifts]

Thank you sir. very help full for your videos

[grahamflowers]

There is no kinetic energy in a moving mass there is force Mv squared, kinetic energy is the energy of consistent work from a consistent force regards Graham Flowers

[astr]

why is wrong
v= d/t
t=d/v
a=v/t
f=a.m
w=f.d
=a.m.d
=(v/t).m.d
=(v/(d/v)).m.d
=(v^2/d).m.d
=m.v^2