A ball is thrown across a playing field from a height of h = 5 ft above the ground at an angle of 45° to the horizontal at the speed of 20 ft/s. It can be deduced from physical principles that the path of the ball is modeled by the function y = − 32/(20)2 x2 + x + 5 where x is the distance in feet that the ball has traveled horizontally.   (a) Find the maximum height attained by the ball. (b) Find the horizontal distance the ball has traveled when it hits the ground. (Round your answer to one decimal place.)

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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A ball is thrown across a playing field from a height of h = 5 ft above the ground at an angle of 45° to the horizontal at the speed of 20 ft/s. It can be deduced from physical principles that the path of the ball is modeled by the function

y = − 32/(20)x2 + x + 5

where x is the distance in feet that the ball has traveled horizontally.

 

(a) Find the maximum height attained by the ball.

(b) Find the horizontal distance the ball has traveled when it hits the ground. (Round your answer to one decimal place.)

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