Question

DERIVE THE EQUATION OF KINETIC ENERGY BY USING CALCULUS
CORRECT SOLUTION WILL BE MARKED AS BRAINLIEST ANSWER
​

Answer 1

Derivation of equation of kinetic energy by calculus - K.E. = 1/2 mv^2

Answer 2

Answer:

Derivation of equation of kinetic energy by calculus - K.E. = 1/2 mv^2

Explanation:

2aS = Vf2 – Vi2  

Putting the above mentioned values  

2ad = V2 – 0

a = V2/2d

Now force is given by

F = ma  

Putting the value of acceleration

F = m(V2/2d)  

As we know that  

Work done = Fd

Putting the value of F

Work done = (mv2/2d)(d)

Work done = mV2/2

OR  

Work done = ½ mV2

Since the work done is motion is called "Kinetic Energy"

i.e.  

K.E. = Work done  

OR  

K.E. =1/2mV2.