Question 395731
There are quadratic equations used in elementary physics. For example, if you want to model the position of some particle under constant acceleration, use the equation


{{{X = (1/2)at^2 + v[0]t + x[0]}}} where a is acceleration, t is time, v[0] is the original velocity, and x[0] is the original position. This equation is derived using a little calculus. If we integrate a constant acceleration to obtain velocity,


{{{int(a, dt) = at + v[0]}}}


Integrating again,


{{{int((at + v[0]), dt) = (1/2)at^2 + v[0]t + x[0]}}}