Kinetic Energy getting a formula
If we start with a single net force doing work on an object so that the object picks up speed (and no other energy is involved), we have: Work = si?sf F cos(q) ds .
Using Newton’s Second Law, with the force simply directed always along the direction of motion: F = ma = m dv/dt we get: Work=si?sf m dv/dt ds =vi?vf m ds/dt dv and using v = ds/dt we get: Work= vi?vf m v dv
or finally, Work= ½mvf2 - ½mvi2 = DKE