The velocity of a particular roller coaster at the bottom of a hill can be described by the equation below where h is the height of the hill, v, is the velocity of the roller coaster at the top of the hill and v is the velocity of the roller coaster at the bottom of the hill. %= √²-20h 1. How high is a hill such that the roller coaster has a velocity of +4.5m/s at the top and +24.5m/s at the bottom? 2. What is the velocity of a roller coaster at the bottom of a 12m hill if it goes over the top of it at +6.0m/s? You must show your work for this problem.
The velocity of a particular roller coaster at the bottom of a hill can be described by the equation below where h is the height of the hill, v, is the velocity of the roller coaster at the top of the hill and v is the velocity of the roller coaster at the bottom of the hill. %= √²-20h 1. How high is a hill such that the roller coaster has a velocity of +4.5m/s at the top and +24.5m/s at the bottom? 2. What is the velocity of a roller coaster at the bottom of a 12m hill if it goes over the top of it at +6.0m/s? You must show your work for this problem.
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:The velocity of a particular roller coaster at the bottom of a hill can be
described by the equation below where h is the height of the hill, v, is
the velocity of the roller coaster at the top of the hill and v is the
velocity of the roller coaster at the bottom of the hill.
%= √²-20h
1. How high is a hill such that the roller coaster has a velocity of
+4.5m/s at the top and +24.5m/s at the bottom?
2. What is the velocity of a roller coaster at the bottom of a 12m hill
if it goes over the top of it at +6.0m/s?
You must show your work for this problem.
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