Tarzan is swinging back and forth on his grapevine. As he swings, he goes back and forth across the riverbank, going alternately over the land and water. (Picture below). Jane decides to mathematically model his motion and starts her stopwatch. Let t be the time in seconds and y be the number of meters. Assume that y varies sinusoidally with t, and that y is positive when Tarzan is over the water and negative when Tarzan is over land. Jane finds that when t = 2, Tarzan is at one end of his swing at y = 23. She finds that when t = 5, he reaches the other end of his swing at y = 17. a) Write the equation that describes Tarzan's movement. b) Draw a graph (show two cycles) that represents Tarzan's position Please show max, min, amplitude, x-y axis labels, and central horizontal axis. 1=2 -23-y-17- River bank
Tarzan is swinging back and forth on his grapevine. As he swings, he goes back and forth across the riverbank, going alternately over the land and water. (Picture below). Jane decides to mathematically model his motion and starts her stopwatch. Let t be the time in seconds and y be the number of meters. Assume that y varies sinusoidally with t, and that y is positive when Tarzan is over the water and negative when Tarzan is over land. Jane finds that when t = 2, Tarzan is at one end of his swing at y = 23. She finds that when t = 5, he reaches the other end of his swing at y = 17. a) Write the equation that describes Tarzan's movement. b) Draw a graph (show two cycles) that represents Tarzan's position Please show max, min, amplitude, x-y axis labels, and central horizontal axis. 1=2 -23-y-17- River bank
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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Transcribed Image Text:Tarzan is swinging back and forth on his grapevine. As he swings, he goes back and
forth across the riverbank, going alternately over the land and water. (Picture below).
Jane decides to mathematically model his motion and starts her stopwatch. Let
t be the time in seconds and y be the number of meters. Assume that y varies
sinusoidally with t, and that y is positive when Tarzan is over the water and negative
when Tarzan is over land. Jane finds that when t = 2, Tarzan is at one end of his
swing at y = 23. She finds that when t = 5, he reaches the other end of his swing
at y = 17.
a) Write the equation that describes Tarzan's movement.
b) Draw a graph (show two cycles) that represents Tarzan's position
Please show max, min, amplitude, x-y axis labels, and central horizontal axis.
1=2
-23-4-y-17-
River bank
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