A car is traveling on a straight road on a stretch that contains towns A, B,...
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A car is traveling on a straight road on a stretch that contains towns A, B, C, and D as illustrated below. The car is between towns A and D. Town A is 60 miles from Town D, with Town B 20 miles from towns A and C and Town C 20 miles from Town D. It is an otherwise rural area and there are cell phone towers only in each of the four towns. Each tower has a range of ten miles. 2. Suppose that the velocity of the car is 1. Suppose that the car is traveling at a uniform rate of 55 miles per hour. What percentage of the time for the trip between towns A and D is spent within range of the tower in Town A? Town B? B r()= where r is measured in hours and r(t) is measured in miles per hour. Also, suppose that at = 0, the car is at Town A. Now, what percentage of the time for the trip between towns A and D is spent within range of the tower in Town A? Town B? 70 60 Problems 1. Given the velocity of the car as described in part 2. do you think that you could move the towers to other locations in such a way that the car would spend the same amount of time within range of each tower? If so, justify your answer. If not, explain why not. Emph 2. Below is a graph of a velocity of a car as it travels between Town A and Town D. What percentage of the time is spent within range of Town B? 50 40 30 20 10 с 10 601. 1≤1 120-601, 121 20 time (minutes) 30 40 Velocity graph 50 60 A car is traveling on a straight road on a stretch that contains towns A, B, C, and D as illustrated below. The car is between towns A and D. Town A is 60 miles from Town D, with Town B 20 miles from towns A and C and Town C 20 miles from Town D. It is an otherwise rural area and there are cell phone towers only in each of the four towns. Each tower has a range of ten miles. 2. Suppose that the velocity of the car is 1. Suppose that the car is traveling at a uniform rate of 55 miles per hour. What percentage of the time for the trip between towns A and D is spent within range of the tower in Town A? Town B? B r()= where r is measured in hours and r(t) is measured in miles per hour. Also, suppose that at = 0, the car is at Town A. Now, what percentage of the time for the trip between towns A and D is spent within range of the tower in Town A? Town B? 70 60 Problems 1. Given the velocity of the car as described in part 2. do you think that you could move the towers to other locations in such a way that the car would spend the same amount of time within range of each tower? If so, justify your answer. If not, explain why not. Emph 2. Below is a graph of a velocity of a car as it travels between Town A and Town D. What percentage of the time is spent within range of Town B? 50 40 30 20 10 с 10 601. 1≤1 120-601, 121 20 time (minutes) 30 40 Velocity graph 50 60
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Related Book For
Probability and Statistics
ISBN: 978-0321500465
4th edition
Authors: Morris H. DeGroot, Mark J. Schervish
Posted Date:
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