A soccer ball is kicked into the air, and its height (in meters) is modeled by the equation , where t is the time in seconds. What is the maximum height the ball reaches?
Options
A
20 meters
B
21 meters
C
25 meters
D
16 meters
Answer & Analysis
Answer
B
Analysis
The given quadratic equation is in the form .
To find the maximum height, we need to complete the square.
First, factor out −5 from the first two terms:
Now, complete the square for the expression inside the parentheses.
Take half of −4, which is −2, and square it to get 4.
Add and subtract 4 inside the parentheses:
Simplify:
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