A physics experiment models the height of a projectile as a function of time with the equation. To find the times when the projectile hits the ground, solve the equation by the given graph. The times are and .
Answer & Analysis
Analysis
Question Analysis
This question applies the concept of solving polynomial equations by graphing to a real-world context. The student must identify the x-intercepts of the quadratic function, which represent the times when the projectile hits the ground.
Key Concept Explanation
The solutions to a polynomial equation are the x-intercepts of the corresponding polynomial function. In this case, the x-intercepts represent the times when the height of the projectile is zero.
Step-by-step Solution
1. Graph the function
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