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On a roller coaster, your speed in a loop depends on the height of the hill you have just come down and the radius of the loop in feet. The function f(h) = 8Vh - 200 gives the velocity, f(h) (in feet persecond) of a car at the top of the loop in terms of the height of the hill, h (in feet) for a roller coaster with a loop of radius 100 ft. Equation Words Suppose the velocity of the car at the top of the hill is 40 ft/sec. How high should the hill be? Evaluate f(300) and explain what it means in the context of this situation.

On a roller coaster, your speed in a loop depends on the height of the hill you have just come down and the radius of the loop in feet. The function f(h) = 8Vh - 200 gives the velocity, f(h) (in feet persecond) of a car at the top of the loop in terms of the height of the hill, h (in feet) for a roller coaster with a loop of radius 100 ft. Equation Words Suppose the velocity of the car at the top of the hill is 40 ft/sec. How high should the hill be? Evaluate f(300) and explain what it means in the context of this situation.

Calculus: Early Transcendentals
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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On a roller coaster, your speed in a loop depends on the height of the hill you have just come down and the radius of the loo p in feet. The function f(h) = 8Vh -200 gives the velocity, f(h) (in feet persecond) of a car at the top of the loop in terms of the height of the hill, h (in feet) for a roller coasterwith a loop of radius 100 ft. Words Equation Evaluate f(300) and explain what it means in the context of this Suppose the velocity of the car at the top of the hill is 40 ft/sec. How high should the hill be? situation. Table Graph enderdened MAdfines povi Purl 2.
Transcribed Image Text:On a roller coaster, your speed in a loop depends on the height of the hill you have just come down and the radius of the loo p in feet. The function f(h) = 8Vh -200 gives the velocity, f(h) (in feet persecond) of a car at the top of the loop in terms of the height of the hill, h (in feet) for a roller coasterwith a loop of radius 100 ft. Words Equation Evaluate f(300) and explain what it means in the context of this Suppose the velocity of the car at the top of the hill is 40 ft/sec. How high should the hill be? situation. Table Graph enderdened MAdfines povi Purl 2.
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