A ball is thrown upward from the top of a 60-meter high building with an initial velocity of 20 m/s. The height of the ball at any time seconds is given by the equation . Find the time when the ball hits the ground. The time is seconds.
Answer & Analysis
Analysis
Question Analysis
This problem applies the concept of solving quadratic equations by factoring to a real-world scenario, specifically finding the time when a ball hits the ground.
Key Concept Explanation
The height of the ball as a function of time is given by a quadratic equation. By setting the height to zero and solving the quadratic equation, we can find the time when the ball hits the ground.
Step-by-step Solution
1. Set the height to zero:
2. Factor the quadratic expression:
3. Simplify:
4. Factor the quadratic expression:
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