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Parametric Equations Exploration The Football Dilemma It's an important moment for the Michigan Wolverines football team. It's the last few seconds of play, and Michigan is down by five points against their archrivals - the Spartans of Michigan State. Michigan has the ball on State's 30-yard line. If they can get a touchdown, they'll win. Can the Wolverines do it? Think of the football field as a huge coordinate plane. Each small square represents 2 yards. Michigan's quarterback is standing at (32, 4) and throws a pass. 20 Every quarter of a second, the ball moves 4 yards west and 3 yards south. Graph the ball's progress on the field. 10

Parametric Equations Exploration The Football Dilemma It's an important moment for the Michigan Wolverines football team. It's the last few seconds of play, and Michigan is down by five points against their archrivals - the Spartans of Michigan State. Michigan has the ball on State's 30-yard line. If they can get a touchdown, they'll win. Can the Wolverines do it? Think of the football field as a huge coordinate plane. Each small square represents 2 yards. Michigan's quarterback is standing at (32, 4) and throws a pass. 20 Every quarter of a second, the ball moves 4 yards west and 3 yards south. Graph the ball's progress on the field. 10

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Parametric Equations Exploration The Football Dilemma It's an important moment for the Michigan Wolverines football team. It's the last few seconds of play, and Michigan is down by five points against their archrivals - the Spartans of Michigan State. Michigan has the ball on State's 30-yard line. If they can get a touchdown, they'll win. Can the Wolverines do it? Think of the football field as a huge coordinate plane. Each small square represents 2 yards. Michigan's quarterback is standing at (32, 4) and throws a pass. 20 Every quarter of a second, the ball moves 4 yards west and 3 yards south. Graph the ball's 10 progress on the field. 10 20 30 40 At the moment the quarterback throws, a receiver is at (26,-14) and is running to catch the ball. Every quarter of a second, he moves west 3 yards and north 1 yard. Graph the receiver's progress on the field. -20 1. Will the player's path cross the ball's path? 2. Can you tell definitively whether the player and the ball will cross paths at the same time? Michigan
Transcribed Image Text:Parametric Equations Exploration The Football Dilemma It's an important moment for the Michigan Wolverines football team. It's the last few seconds of play, and Michigan is down by five points against their archrivals - the Spartans of Michigan State. Michigan has the ball on State's 30-yard line. If they can get a touchdown, they'll win. Can the Wolverines do it? Think of the football field as a huge coordinate plane. Each small square represents 2 yards. Michigan's quarterback is standing at (32, 4) and throws a pass. 20 Every quarter of a second, the ball moves 4 yards west and 3 yards south. Graph the ball's 10 progress on the field. 10 20 30 40 At the moment the quarterback throws, a receiver is at (26,-14) and is running to catch the ball. Every quarter of a second, he moves west 3 yards and north 1 yard. Graph the receiver's progress on the field. -20 1. Will the player's path cross the ball's path? 2. Can you tell definitively whether the player and the ball will cross paths at the same time? Michigan
3. Fill in the following table of values for the football's x and y progress. Time (t) 0 0.25 0.5 0.75 1 1.25 1.5 y
Transcribed Image Text:3. Fill in the following table of values for the football's x and y progress. Time (t) 0 0.25 0.5 0.75 1 1.25 1.5 y
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