Question

Derive an expression for kinetic energy by calculus method

Answer 1

Here is your derivation this is according to kinectic energy theorem

Answer 2

Answer:

The kinetic energy derivation using only algebra is one of the best ways to understand the formula in-depth.

Starting with the work-energy theorem and then adding Newton’s second law of motion we can say that,

Derivation Of Kinetic Energy

Now, taking the kinematics equation and rearranging it, we get

Derivation Of Kinetic Energy

Combining the 2 expressions we get,

Derivation Of Kinetic Energy

Derivation Of Kinetic Energy

Now we already know that kinetic energy is the energy that it possessed due to its motion. So the kinetic energy at rest should be zero. Therefore we can say that kinetic energy is:

Derivation Of Kinetic Energy

Explanation:

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