Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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This is for my Hon Precalc Class, Thank you!

3. The University of Maryland's softball team is at bat, bases loaded with two outs, down
three runs. A home run would win the game. The player swings and she hit the ball
with a launch angle of 50° and an initial velocity of 90 feet per second, and an initial
height of 2 feet. The outfield fence is 220 feet away.
a. Using the projectile motion equations x = v, cos êt and
ye = -16t? + v, sin Ot + ho, write a set of parametric equations that model the
motion of the ball.
b. What is the horizontal (x) distance and vertical (y) distance of the ball when
t=3sec?
c. How far does the ball travel as it hits the ground?
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Transcribed Image Text:3. The University of Maryland's softball team is at bat, bases loaded with two outs, down three runs. A home run would win the game. The player swings and she hit the ball with a launch angle of 50° and an initial velocity of 90 feet per second, and an initial height of 2 feet. The outfield fence is 220 feet away. a. Using the projectile motion equations x = v, cos êt and ye = -16t? + v, sin Ot + ho, write a set of parametric equations that model the motion of the ball. b. What is the horizontal (x) distance and vertical (y) distance of the ball when t=3sec? c. How far does the ball travel as it hits the ground?
Unit 6, Lesson 3: Parametric Equations Homework
1. Write the following linear equations as a set of parametric equations:
a. y =x + 4
b. y =x- 3
2. Write the following parametric equations in rectangular form y = mx + b:
a. X = 2t + 4
Ye = 4t – 5
X = t - 5
Ye = 2t + 2
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Transcribed Image Text:Unit 6, Lesson 3: Parametric Equations Homework 1. Write the following linear equations as a set of parametric equations: a. y =x + 4 b. y =x- 3 2. Write the following parametric equations in rectangular form y = mx + b: a. X = 2t + 4 Ye = 4t – 5 X = t - 5 Ye = 2t + 2
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