A football field with players (not drawn to scale) (a) Assume that Quick Release lets go of the ball 6 feet above the ground and the receiver catches it 6 feet above the ground. The ball reaches a maximum height of 16 feet above the ground halffway to the receiver. Write an algebraic rule that models the path of the football. Show all your work and explain your reasoning.

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Quarterback Quick Release can throw a football in a perfect parabolic arc to a
receiver 40 yards downfield.
Receiver
Defender
Quarterback
40 20 30 40 50 4
A football field with players (not drawn to scale)l
(a) Assume that Quick Release lets go of the ball 6 feet above the ground and the
receiver catches it 6 feet above the ground. The ball reaches a maximum
height of 16 feet above the ground halfway to the receiver. Write an algebraic
rule that models the path of the football. Show all your work and explain
your reasoning.
(b) If a defender guarding the receiver is 5 yards in front of the receiver (closer
to the quarterback) and has a vertical stretch of 9 feet, will the defender be
able to prevent the catch? Explain your answer.
(c) Describe how to determine the maximum distance the defensive player
can be in front of the receiver and prevent the catch.
You could figure out how far away he was
Transcribed Image Text:Quarterback Quick Release can throw a football in a perfect parabolic arc to a receiver 40 yards downfield. Receiver Defender Quarterback 40 20 30 40 50 4 A football field with players (not drawn to scale)l (a) Assume that Quick Release lets go of the ball 6 feet above the ground and the receiver catches it 6 feet above the ground. The ball reaches a maximum height of 16 feet above the ground halfway to the receiver. Write an algebraic rule that models the path of the football. Show all your work and explain your reasoning. (b) If a defender guarding the receiver is 5 yards in front of the receiver (closer to the quarterback) and has a vertical stretch of 9 feet, will the defender be able to prevent the catch? Explain your answer. (c) Describe how to determine the maximum distance the defensive player can be in front of the receiver and prevent the catch. You could figure out how far away he was
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