3. It's the bottom of the ninth inning, the Yankees are behind 6-3 and the bases are loaded. Aaron Judge is at bat. He swings and makes contact with the ball 3 feet above the plate at an angle of 20 degrees from the horizontal at a velocity of 150 feet per second. He hits straight toward center field where there is a fence 400 feet from home plate and 20 feet high. Does Aaron hit a grand slam and win the game for the 27-time World Champion New York Yankees?

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3. It's the bottom of the ninth inning, the Yankees are behind 6-3 and the bases are
loaded. Aaron Judge is at bat. He swings and makes contact with the ball 3 feet above
the plate at an angle of 20 degrees from the horizontal at a velocity of 150 feet per
second. He hits straight toward center field where there is a fence 400 feet from home
plate and 20 feet high. Does Aaron hit a grand slam and win the game for the 27-time
World Champion New York Yankees?
Transcribed Image Text:3. It's the bottom of the ninth inning, the Yankees are behind 6-3 and the bases are loaded. Aaron Judge is at bat. He swings and makes contact with the ball 3 feet above the plate at an angle of 20 degrees from the horizontal at a velocity of 150 feet per second. He hits straight toward center field where there is a fence 400 feet from home plate and 20 feet high. Does Aaron hit a grand slam and win the game for the 27-time World Champion New York Yankees?
Unit 6, Lesson 4: More Parametric Equations Homework
1. An NFL punter kicks a football downfield with initial velocity 85 feet per second at an
angle of elevation of 56°.
a. Find parametric equations that model the problem situation.
b. How far downfield will the football first hit the field?
c. Determine the maximum height of the ball above the field.
d. What is the "hang time"? (That is, the total time the football is in the air.)
2. Blammo the Human Cannonball will be fired from a cannon and hopes to land in a small
net at the opposite end of the circus arena. Blammo's cannon has a muzzle velocity of
35 m/s, and is at a 35° angle. The muzzle opening will be 5 m above the ground, and
Blammo's objective is to land in a net that is also 5 m above the ground and that
extends a distance of 10 m between 90 m and 100 m from the cannon opening. Will
Blammo land on the net?
Transcribed Image Text:Unit 6, Lesson 4: More Parametric Equations Homework 1. An NFL punter kicks a football downfield with initial velocity 85 feet per second at an angle of elevation of 56°. a. Find parametric equations that model the problem situation. b. How far downfield will the football first hit the field? c. Determine the maximum height of the ball above the field. d. What is the "hang time"? (That is, the total time the football is in the air.) 2. Blammo the Human Cannonball will be fired from a cannon and hopes to land in a small net at the opposite end of the circus arena. Blammo's cannon has a muzzle velocity of 35 m/s, and is at a 35° angle. The muzzle opening will be 5 m above the ground, and Blammo's objective is to land in a net that is also 5 m above the ground and that extends a distance of 10 m between 90 m and 100 m from the cannon opening. Will Blammo land on the net?
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