Allyson and Adrian have decided to connect their ankles with a bungee cord; one end is tied to each person's ankle. The cord is 30 feet long, but can stretch up to 90 feet. They both start from the same location. Allyson moves 20 ft/sec and Adrian moves 12 ft/sec in the directions indicated. (If a coordinate system is used, assume that the girls' starting position is located at (x, y) = (0, 0) and that Allyson and Adrian move in the positive y and negative x directions, respectively. Let one unit equal one foot.) Building 20 ft 30 ft Allyson Adrian start (a) Where are the two girls located after 2 seconds? Allyson (x, y) = 0,40 Adrian (x, y) = -24,0 (b) After 2 seconds, will the slack in the bungee cord be used up? O Yes ○ No (c) Determine when the bungee cord first becomes tight; i.e., there is no slack in the line. (Round your answer to one decimal place.) 1.3 sec Where are the girls located when this occurs? (Round your answers to one decimal place as needed.) Allyson Adrian (x, y) = 0,26 (x, y) = ( -15.6,0 (d) When will the bungee cord first touch the corner of the building? (Hint: Use a fact about "similar triangles." Round your answer to one decimal place as needed.) sec
Allyson and Adrian have decided to connect their ankles with a bungee cord; one end is tied to each person's ankle. The cord is 30 feet long, but can stretch up to 90 feet. They both start from the same location. Allyson moves 20 ft/sec and Adrian moves 12 ft/sec in the directions indicated. (If a coordinate system is used, assume that the girls' starting position is located at (x, y) = (0, 0) and that Allyson and Adrian move in the positive y and negative x directions, respectively. Let one unit equal one foot.) Building 20 ft 30 ft Allyson Adrian start (a) Where are the two girls located after 2 seconds? Allyson (x, y) = 0,40 Adrian (x, y) = -24,0 (b) After 2 seconds, will the slack in the bungee cord be used up? O Yes ○ No (c) Determine when the bungee cord first becomes tight; i.e., there is no slack in the line. (Round your answer to one decimal place.) 1.3 sec Where are the girls located when this occurs? (Round your answers to one decimal place as needed.) Allyson Adrian (x, y) = 0,26 (x, y) = ( -15.6,0 (d) When will the bungee cord first touch the corner of the building? (Hint: Use a fact about "similar triangles." Round your answer to one decimal place as needed.) sec
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:Allyson and Adrian have decided to connect their ankles with a bungee cord; one end is tied to each person's ankle. The cord is 30 feet long, but can stretch up to 90 feet.
They both start from the same location. Allyson moves 20 ft/sec and Adrian moves 12 ft/sec in the directions indicated. (If a coordinate system is used, assume that the
girls' starting position is located at (x, y) = (0, 0) and that Allyson and Adrian move in the positive y and negative x directions, respectively. Let one unit equal one foot.)
Building
20 ft
30 ft
Allyson
Adrian
start
(a) Where are the two girls located after 2 seconds?
Allyson
(x, y) =
0,40
Adrian
(x, y) =
-24,0
(b) After 2 seconds, will the slack in the bungee cord be used up?
O Yes
○ No
(c) Determine when the bungee cord first becomes tight; i.e., there is no slack in the line. (Round your answer to one decimal place.)
1.3
sec
Where are the girls located when this occurs? (Round your answers to one decimal place as needed.)
Allyson
Adrian
(x, y) = 0,26
(x, y) = ( -15.6,0
(d) When will the bungee cord first touch the corner of the building? (Hint: Use a fact about "similar triangles." Round your answer to one decimal place as needed.)
sec
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