A section of US-460, between I-81 and campus, goes across a valley and includes a long straight section with a 3% slope in the distance and a 4% slope where the cars in the picture are returning to campus coming from 1-81. The speed limit is 65 mi/h and both directions were resurfaced in April, 2020 during the pandemic stay-at-home order. Animals regularly move across US-460 in this valley. You are returning to campus after picking up a friend in Roanoke. Because it is raining, you are traveling five (5) miles below the speed limit. An animal runs across US-460 in front of you and you slam on the brakes, skidding to a stop (but you do not hit the animal). Consider each scenario: where the animal could cross in front of you on (1) the 3% section in the distance of the picture or (2) the 4% section where you see the vehicles. Assume your vehicle's braking efficiency is 0.85 and your perception/reaction time is 1.5 second for both scenarios. What are the two stopping distances and what is their difference in feet? Provide your answers in whole feet (ie no decimals). It makes no sense to report stopping distance to fractions of a foot. Show your work. Should you be more alert on the 3% section or the 4% section and explain why using the variables in the problem?

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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A section of US-460, between I-81 and campus, goes across a valley and includes a long straight
section with a 3% slope in the distance and a 4% slope where the cars in the picture are returning
to campus coming from 1-81. The speed limit is 65 mi/h and both directions were resurfaced in
April, 2020 during the pandemic stay-at-home order. Animals regularly move across US-460 in this
valley.
You are returning to campus after picking up a friend in
Roanoke. Because it is raining, you are traveling five (5) miles
below the speed limit. An animal runs across US-460 in front
of you and you slam on the brakes, skidding to a stop (but you
do not hit the animal). Consider each scenario: where the
animal could cross in front of you on (1) the 3% section in the
distance of the picture or (2) the 4% section where you see
the vehicles. Assume your vehicle's braking efficiency is 0.85 and your perception/reaction time is
1.5 second for both scenarios.
What are the two stopping distances and what is their difference in feet? Provide your answers in
whole feet (ie no decimals). It makes no sense to report stopping distance to fractions of a foot.
Show your work.
Should you be more alert on the 3% section or the 4% section and explain why using the variables
in the problem?
Transcribed Image Text:A section of US-460, between I-81 and campus, goes across a valley and includes a long straight section with a 3% slope in the distance and a 4% slope where the cars in the picture are returning to campus coming from 1-81. The speed limit is 65 mi/h and both directions were resurfaced in April, 2020 during the pandemic stay-at-home order. Animals regularly move across US-460 in this valley. You are returning to campus after picking up a friend in Roanoke. Because it is raining, you are traveling five (5) miles below the speed limit. An animal runs across US-460 in front of you and you slam on the brakes, skidding to a stop (but you do not hit the animal). Consider each scenario: where the animal could cross in front of you on (1) the 3% section in the distance of the picture or (2) the 4% section where you see the vehicles. Assume your vehicle's braking efficiency is 0.85 and your perception/reaction time is 1.5 second for both scenarios. What are the two stopping distances and what is their difference in feet? Provide your answers in whole feet (ie no decimals). It makes no sense to report stopping distance to fractions of a foot. Show your work. Should you be more alert on the 3% section or the 4% section and explain why using the variables in the problem?
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