(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I am not fully sure where this is supposed to go, so forgive me if I get it wrong. I am just undertaking some private research and want to see if my work is correct. I wish to derive the Kinetic energy of something moving according to classical mechanics.

2. Relevant equations

Energy = Force * Displacement (Or distance moved).

Force = Mass * Acceleration

3. The attempt at a solution

Firstly I substituted 'MA' into Energy = Mass * Acceleration * Displacement.

Acceleration can be rewritten as Δv/Δt, and so I change my formula to be Energy = M * Δv/Δt * displacement. To find the Energy, in respect to the displacement we can make the integral ∫(M * Δv/Δt * Δd). I believe, that I can rewrite that as ∫(M * Δd/Δt * Δv), which is simply ∫(M * V * Δv). Once we solve that integral we should get the kinetic energy to be equal to E = (M * V^2)/2

(Please point out any errors or mistakes).

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# Deriving Formula of Kinetic Energy using f = ma

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