Automobile traffic passes a point P on a road of width w feet with an average rate of R vehicles per second. Although the arrival of automobiles is irregular, traffic engineers have found that the average waiting time T until there is a gap in traffic of at least t seconds is approximately T teR¹ seconds. A pedestrian walking at a speed of 3.2 ft/s requires t = road. Therefore, the average time the pedestrian will have to wait before crossing is f(w, R) = s to cross the = (32) ew R/3.2° What is the pedestrian's average waiting time if w = 23 ft and R = 0.2 vehicle per second? (Use decimal notation. Give your answer to two decimal places.) 28.09 Incorrect Use the Linear Approximation to estimate the increase in waiting time if w is increased to 25 ft. (Use decimal notation. Give your answer to two decimal places.) S.
Automobile traffic passes a point P on a road of width w feet with an average rate of R vehicles per second. Although the arrival of automobiles is irregular, traffic engineers have found that the average waiting time T until there is a gap in traffic of at least t seconds is approximately T teR¹ seconds. A pedestrian walking at a speed of 3.2 ft/s requires t = road. Therefore, the average time the pedestrian will have to wait before crossing is f(w, R) = s to cross the = (32) ew R/3.2° What is the pedestrian's average waiting time if w = 23 ft and R = 0.2 vehicle per second? (Use decimal notation. Give your answer to two decimal places.) 28.09 Incorrect Use the Linear Approximation to estimate the increase in waiting time if w is increased to 25 ft. (Use decimal notation. Give your answer to two decimal places.) S.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Step 1: Pedestrian's average waiting time - part (a)
VIEWStep 2: Formulating the equation increase in waiting time if w or R increases, using linear approximation:
VIEWStep 3: Increase in waiting time if w increases to 25ft:
VIEWStep 4: Increase in waiting time if w increases to 25ft and R decreases to 0.19s:
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