Algebra 2: Using Quadratic Equations to Model Projectile Motion

Question: can someone help me with this please
You are playing baseball with a friend and accidently hit the ball over your neighbor’s house and into their backyard. The following questions are about the ball’s movement from when you hit the ball to when it hits the ground in your neighbor’s yard. a.   In a paint app or by printing the grid and then inserting a photo, draw a graph of what the ball’s movement could be. Height should be your dependent variable and distance should be your independent variable.  b.   Describe the graph. What are the intercepts? What kind of function models this situation? What is the domain for the situation? What is the range for the situation? Is there a vertex or turning points? What are the coordinates for those points?c.    Write the equation for your graph in vertex form and factored form. Label each form and explain what each part of the equation corresponds to in the graph.

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Answered By:

Erika M.
Awakening the Inner STEM Geek Within All!

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Written Explanation:

Hello Zack! When I began recording this video the question had no answers; here is a video solution showing how to model the baseball's flight path with a quadratic equation, as well as how to obtain factored form, vertex form, and the important values like x-intercepts and the vertex coordinates. For this video I selected a basic quadratic equation to use as a demonstration; you are given the freedom in this problem to choose your own unique quadratic equation to model the baseball's flight path. For any projectile motion problems, remember to choose a quadratic equation with a negative x2 term! Please reach out to me if you have any questions or would like further clarification! Best wishes :)(Also a bit that I forgot to include in the video; also remember to label your y-intercept! My function has one at (0, 8) though I forgot to label or discuss it; instead I only show the x-intercepts and how to find them. You can find the y-intercept by substituting 0 for x in your quadratic equation. Also, the notation I used to represent the domain and range is interval notation, though I believe I mistakenly said "intercept notation".)

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