Quintessence of Quadratics
We started this project with a review of some linear equations and then we went over new material in, "Victory Celebration." In that handout we learned to use quadratic equations to predict the flight path of a rocket. Quadratic equations are based on the same principals of other equations. There are at maximum 2 solutions which in terms of a parabolic graph, can be used as x coordinates. Quadratic equations most often have the term x^2, which when graphed, creates a parabola.
The parabolas shape varies directly proportionate to the value of x. If x were to equal 3, then x^2 would equal 9. Alternatively, x may equal 4 or 5, however the exponent (2) would remain the same. This is a crucial pattern to note when recognizing quadratic equations. We used the online graphing simulator to emulate certain parabolas and experimented with the values of variables in different quadratic equations.
Our first attempt to apply quadratics was in the form of a kinematic problem. We had to find the maximum height of a fireworks rocket, the time at which it reaches its maximum height, and for how long would it remain in flight. In order to graph the flight or the rocket, we had to start with the height of the rocket as a function of time via h(t)=d0+v0*t+91/2)a*t^2, which is in quadratic form y=ax^2+bx+c.