If youre having trouble memorizing new formulas go back and review the formulas that came before. How to Derive a Formula is an attempt to engage these learners presenting mathematical methods in simple terms with more of an emphasis on skills as opposed to technical knowledge. To derive a formula means to deduce obtain or prove the formula from a set of already-known or already-established principles or observations.
Kk 1 2 m V2 Putting the value of V from eq 2 1 2 m aoCosot 2 1 2 m a2 o2 1 - Sin2 ot 1 2 h a2 1 - y2 a2 Kk 1 2 m o2 a2 - 1 - y2 Total energy Kp Kp.
Here in equilibrium condition in place of V we will use Vterm which is terminal velocity. It may not immediately. What derivation looks like can be a little different in pure rigorous mathematics vs. For example you can derive the kinematic equation for the position of a particle with constant acceleration by starting with Newtons force equation F m x t m g integrating wrt.