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(1) Trigonometry 8

# 06 s 119 s 181 s 269 s 2 0 1 5 1 0 5 5 1 0 1 5 2 0 2

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Unformatted text preview: 1 5 1 0 5 5 1 0 1 5 2 0 2 5 3 0 Time (s) Pre – Calculus Math 40S: Explained! www.math40s.com 79 Trigonometry Lesson 8: Part I – Ferris Wheel ANSWERS b) The period is 1.46 seconds a-value: The amplitude is 1. b-value: c-value: For the cosine graph, there is none. d-value: The midline will be at 0.7 m, since the bottom is at -0.3 m and the radius is 1 m. h(t ) = cos 2 15 . 2π 2π = b= P 1.46 2π t + 0.7 1.46 Height (m) 3. a) 1 05 . 02 . 04 . -. 05 06 . 08 . 1 12 . 14 . Time (s) c) Use your TI-83 to find the points of intersection with the line y=0. (In this case, it’s the same as the x-intercepts) The point on the wheel is first submerged at 0.545 s, and exits the water at 0.915 s. The total time underwater is 0.37 s. --------------------------------------------------------------- 4. a) The period is 5 seconds. c) a-value: The amplitude is 7. To find the height at 4 seconds, plug the time int...
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