In bungee jumping, a bungee jump is the amount the cord will stretch at the bottom of the fall. The stiffness of the cord is related to the amount of stretch by the equation 2W(S+L) K= where W is the weight of the jumper in pounds, K is the cord's stiffness in pounds per foot, L is the free length of the cord in feet, and S is the stretch in s? feet. Use this equation to answer parts (a) and (b). (a) A 150-pound person plans to jump off a ledge attached to a cord of length 32 feet. If the stiffness olthe cord is no less than 16 pounds per foot, how much will the cord stretch? O A. more than 36 feet O B. exactly 36 feet C. less than 36 feet O D. less than 37 feet O E. between 36 and 37 feet (b) If safety requirements will not permit the jumper to get any closer than 9 feet to the ground, what is the minimum height required for the ledge in part (a)? The minimum safe height is feet above the ground.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.1: Variables And Expressions
Problem 45PFA
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In bungee jumping, a bungee jump is the amount the cord will stretch at the bottom of the fall. The stiffness of the cord is related to the amount of stretch by the equation
2W(S + L)
K =
s2
where W is the weight of the jumper in pounds, K is the cord's stiffness in pounds per foot, L is the free length of the cord in feet, and S is the stretch in
feet.
Use this equation to answer parts (a) and (b).
(a) A 150-pound person plans to jump off a ledge attached to a cord of length 32 feet. If the stiffness othe cord is no less than 16 pounds per foot, how much will the
cord stretch?
O A. more than 36 feet
O B. exactly 36 feet
C. less than 36 feet
O D. less than 37 feet
O E. between 36 and 37 feet
(b) If safety requirements will not permit the jumper to get any closer than 9 feet to the ground, what is the minimum height required for the ledge in part (a)?
The minimum safe height is feet above the ground.
Transcribed Image Text:In bungee jumping, a bungee jump is the amount the cord will stretch at the bottom of the fall. The stiffness of the cord is related to the amount of stretch by the equation 2W(S + L) K = s2 where W is the weight of the jumper in pounds, K is the cord's stiffness in pounds per foot, L is the free length of the cord in feet, and S is the stretch in feet. Use this equation to answer parts (a) and (b). (a) A 150-pound person plans to jump off a ledge attached to a cord of length 32 feet. If the stiffness othe cord is no less than 16 pounds per foot, how much will the cord stretch? O A. more than 36 feet O B. exactly 36 feet C. less than 36 feet O D. less than 37 feet O E. between 36 and 37 feet (b) If safety requirements will not permit the jumper to get any closer than 9 feet to the ground, what is the minimum height required for the ledge in part (a)? The minimum safe height is feet above the ground.
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