(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. NO. (c) Describe how to determine the maximum distance the defensive player can be in front of the receiver and prevent the catch.
(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. NO. (c) Describe how to determine the maximum distance the defensive player can be in front of the receiver and prevent the catch.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
I don't understand how to answer questions (b) and (c).
Transcribed Image Text:+
The Path of a Football
Quarterback Quick Release can throw a football in a perfect parabolic arc to a receiver
40 yards downfield.
16ft
`
Receiver
Defender
Quarterback
12
oft
2.
11
(10,6)
16ر20
Oh
a=ão
400a (4y +16
-10
-16
A football field with players (not drawn to scale)
6 = 20 240-20 3³² +16-16
f(x) =α = (x-4)² +K
+(x)= a · CX-201² +16
(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 feet above-
the ground halfway to the receiver. Write an algebraic rule that models the path of the int
football. Show all your work and explain your reasoning.
Y = = (x-20)² + 16
Y=#
(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.
NO.
(c) Describe how to determine the maximum distance the defensive player can be in
front of the receiver and prevent the catch.
صد مورا
PERFO
years
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