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Braking Distance The grade x of a hill is a measure of its steepness. For example, if a road rises 10 feet for every 100 feet of horizontal distance, then it has an or 10%. See the figure. The braking distance D for a car uphill grade of æ =, traveling at 50 miles per hour on a wet uphill grade is given by the formula D (x) 100 > 2500 30(0.3+z) (Source: L. Haefner.) 10 ft 100 ft a. Evaluate D(0.05) and interpret the result. b. Describe what happens to the braking distance as the hill becomes steeper. Does this agree with your driving experience? c. Estimate the grade associated with a braking distance of 220 feet.

Braking Distance The grade x of a hill is a measure of its steepness. For example, if a road rises 10 feet for every 100 feet of horizontal distance, then it has an or 10%. See the figure. The braking distance D for a car uphill grade of æ =, traveling at 50 miles per hour on a wet uphill grade is given by the formula D (x) 100 > 2500 30(0.3+z) (Source: L. Haefner.) 10 ft 100 ft a. Evaluate D(0.05) and interpret the result. b. Describe what happens to the braking distance as the hill becomes steeper. Does this agree with your driving experience? c. Estimate the grade associated with a braking distance of 220 feet.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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111. Braking Distance The grade x of a hill is a measure of its steepness. For example, if a road rises 10 feet for every 100 feet of horizontal distance, then it has an uphill grade of =, or 10%. See the figure. The braking distance D for a car traveling at 50 miles per hour on a wet uphill grade is given by the formula D (x) = 2500 30(0.3+2) * (Source: L. Haefner.) 10 ft 100 ft a. Evaluate D(0.05) and interpret the result. b. Describe what happens to the braking distance as the hill becomes steeper. Does this agree with your driving experience? c. Estimate the grade associated with a braking distance of 220 feet.
Transcribed Image Text:111. Braking Distance The grade x of a hill is a measure of its steepness. For example, if a road rises 10 feet for every 100 feet of horizontal distance, then it has an uphill grade of =, or 10%. See the figure. The braking distance D for a car traveling at 50 miles per hour on a wet uphill grade is given by the formula D (x) = 2500 30(0.3+2) * (Source: L. Haefner.) 10 ft 100 ft a. Evaluate D(0.05) and interpret the result. b. Describe what happens to the braking distance as the hill becomes steeper. Does this agree with your driving experience? c. Estimate the grade associated with a braking distance of 220 feet.
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