A kicker kicks a football upward from the ground at an initial velocity of 63 feet per second. The height of the football stadium is 70 feet. The height an object reaches with respect to time is modeled by the following equation: h = gt + vt +s In the equation, g is -32 ft/sec', v is the initial velocity, s is the initial height, and t is time in seconds. 1. Write a function that models this situation as related to the number of seconds since kickoff. 2. Sketch and describe the graph of this function, including intercepts and maximum height. 3. At what times is the football the same height as the stadium? Explain your answer.
A kicker kicks a football upward from the ground at an initial velocity of 63 feet per second. The height of the football stadium is 70 feet. The height an object reaches with respect to time is modeled by the following equation: h = gt + vt +s In the equation, g is -32 ft/sec', v is the initial velocity, s is the initial height, and t is time in seconds. 1. Write a function that models this situation as related to the number of seconds since kickoff. 2. Sketch and describe the graph of this function, including intercepts and maximum height. 3. At what times is the football the same height as the stadium? Explain your answer.
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
Transcribed Image Text:A kicker kicks a football upward from the ground at an initial velocity of 63 feet per
second. The height of the football stadium is 70 feet. The height an object reaches with
respect to time is modeled by the following equation:
gr +vt +s
In the equation, g is -32 ft/sec', v is the initial velocity, s is the initial height, and t is
time in seconds.
Write a function that models this situation as related to the number of seconds
since kickoff.
1.
2. Sketch and describe the graph of this function, including intercepts and maximum
height.
3.
At what times is the football the same height as the stadium? Explain your answer.
4. Suppose the initial velocity of the kicked football is 68 feet per second. At what
times is the football the same height as the top of the stadium? Justify your
answer.
Now consider that the kicker is trying to kick an extra point. A linebacker on the
opposing team has a maximum reach of 10 feet, which includes his height, full
extension of his arms, and his vertical jump. If he blocks the kick, at what time (in.
seconds after the kick) does this occur?
5.
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