Tony hits a baseball at a height of 3 ft from the ground. The ball leaves his bat traveling with an initial speed of 120 ft/sec at an angle of 45° from the horizontal. Choose a coordinate system with the origin at ground level directly under the point where the ball is struck. a. Write parametric equations that model the path of the ball as a function of time t (in sec). b. When is the ball at its maximum height? Give the exact value and round to the nearest hundredth of a second. c. What is the maximum height?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 53E
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Tony hits a baseball at a height of 3 ft from the
ground. The ball leaves his bat traveling with an initial
speed of 120 ft/sec at an angle of 45° from the
horizontal. Choose a coordinate system with the origin
at ground level directly under the point where the ball
is struck.
a. Write parametric equations that model the path of the
ball as a function of time t (in sec).
b. When is the ball at its maximum height? Give the
exact value and round to the nearest hundredth of
a second.
c. What is the maximum height?
Transcribed Image Text:Tony hits a baseball at a height of 3 ft from the ground. The ball leaves his bat traveling with an initial speed of 120 ft/sec at an angle of 45° from the horizontal. Choose a coordinate system with the origin at ground level directly under the point where the ball is struck. a. Write parametric equations that model the path of the ball as a function of time t (in sec). b. When is the ball at its maximum height? Give the exact value and round to the nearest hundredth of a second. c. What is the maximum height?
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