A ball is thrown upward with its height given by the equation . Using the quadratic formula, find the time when the ball hits the ground. The time is ______ seconds.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the application of the quadratic formula to a real-world scenario.
Key Concept Explanation
The quadratic formula is used to solve for the roots of a quadratic equation. In this context, the roots represent the times when the ball hits the ground.
Step-by-step Solution
1. Identify coefficients: , ,
2. Set the height to 0:
3. Apply the quadratic formula:
4. Simplify the discriminant:
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