A baseball is hit from a height of 4 ft at a 60° angle above the horizontal. Its initial velocity is 68 ft per sec. (a) Write parametric equations that model the flight of the baseball. (b) Determine the horizontal distance, to the nearest tenth of a foot, traveled by the ball in the air. Assume that the ground is level. (c) What is the maximum height of the baseball, to the nearest tenth of a foot? At that time, how far has the ball traveled horizontally? (d) Would the ball clear a 7-ft-high fence that is 100 ft from the batter?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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A baseball is hit from a height of 4 ft at a 60° angle above the horizontal. Its initial velocity is 68 ft per sec.
(a) Write parametric equations that model the flight of the baseball.
(b) Determine the horizontal distance, to the nearest tenth of a foot, traveled by the ball in the air. Assume that the ground is level.
(c) What is the maximum height of the baseball, to the nearest tenth of a foot? At that time, how far has the ball traveled horizontally?
(d) Would the ball clear a 7-ft-high fence that is 100 ft from the batter?
Transcribed Image Text:A baseball is hit from a height of 4 ft at a 60° angle above the horizontal. Its initial velocity is 68 ft per sec. (a) Write parametric equations that model the flight of the baseball. (b) Determine the horizontal distance, to the nearest tenth of a foot, traveled by the ball in the air. Assume that the ground is level. (c) What is the maximum height of the baseball, to the nearest tenth of a foot? At that time, how far has the ball traveled horizontally? (d) Would the ball clear a 7-ft-high fence that is 100 ft from the batter?
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