4. Tarzan Problem Tarzan is swinging back and forth on his grapevine. As he swings, he goes back and forth across the riverbank, going alternately over land and water. Jane decides to mathematically model his motion and starts her stopwatch. Lett be the number of seconds the stopwatch reads and let y be the number of meters that Tarzan is from the riverbank. Assume y varies sinusoidally with t and that y is positive when Tarzan is over water and negative when he is over land. Jane finds that when the stopwatch reads 2 seconds, Tarzan is at one end of his swing, 23 meters over land. She finds that 5 seconds after she has started the stopwatch, Tarzan reaches the other end of his swing 17 meters over water. a. Sketch a graph of Tarzan's sinusoidal function. t=2 t=5 b. Find an equation expressing Tarzan's distance from the riverbank in terms of t. c. How far is Tarzan from the riverbank when the stopwatch reads 2.8 seconds? 6.3 seconds? 15 seconds? Determine if Tarzan was over land or water at these times. d. Where was Tarzan when Jane started the ky-23-y stopwatch? River bank e. Using Desmos, find the first time Tarzan was directly over the riverbank?

4. Tarzan Problem Tarzan is swinging back and forth on his grapevine. As he swings, he goes back and forth across the riverbank, going alternately over land and water. Jane decides to mathematically model his motion and starts her stopwatch. Lett be the number of seconds the stopwatch reads and let y be the number of meters that Tarzan is from the riverbank. Assume y varies sinusoidally with t and that y is positive when Tarzan is over water and negative when he is over land. Jane finds that when the stopwatch reads 2 seconds, Tarzan is at one end of his swing, 23 meters over land. She finds that 5 seconds after she has started the stopwatch, Tarzan reaches the other end of his swing 17 meters over water. a. Sketch a graph of Tarzan's sinusoidal function. t=2 t=5 b. Find an equation expressing Tarzan's distance from the riverbank in terms of t. c. How far is Tarzan from the riverbank when the stopwatch reads 2.8 seconds? 6.3 seconds? 15 seconds? Determine if Tarzan was over land or water at these times. d. Where was Tarzan when Jane started the ky-23-y stopwatch? River bank e. Using Desmos, find the first time Tarzan was directly over the riverbank?