A baseball is hit 5 feet above the ground at 160 feet per second and at an angle of 45 degree with respect to the ground. a. Find the vector-valued function for the path of the baseball. b. Find the maximum height. Round your answer to the nearest integer.
A baseball is hit 5 feet above the ground at 160 feet per second and at an angle of 45 degree with respect to the ground. a. Find the vector-valued function for the path of the baseball. b. Find the maximum height. Round your answer to the nearest integer.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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
Transcribed Image Text:A baseball is hit 5 feet above the ground at 160 feet per second and at an angle of 45
degree with respect to the ground.
a. Find the vector-valued function for the path of the baseball.
b. Find the maximum height. Round your answer to the nearest integer.
a
- (1) = (160r /2) i + (5 – 160t/2 – 321²) j
b.
247 feet
O a
- (1) = (80t/2) i+(5 – 801/2 + 16r² )
%3D
b.
218 feet
O a
r() = (80r/2) ir+(5+80r/2+ 32r2)
%3D
b.
220 feet
O a
)= (80r/2) +(5+ 80r/2- 1672)
%3D
b.
205 feet
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