Lesson 3.8 Day 2.notebook
October 18, 2011
3.7 Sinusoidal Functions as Mathematical Models Day 2
1. Extra Problem: Ferris Wheel
As you ride a Ferris wheel, your distance from the ground varies
sinusoidally with time. When the last seat is filled and the Ferris wheel starts, your seat is in the position shown. Let t be the number of seconds after the Ferris wheel starts. When t = 3s, you first reach the top, 43’ above the ground. The wheel makes a revolution every 24 seconds. The diameter of the wheel is 40’. d
ground
Lesson 3.8 Day 2.notebook
October 18, 2011
As you ride a Ferris wheel, your distance from the ground varies
sinusoidally with time. When the last seat is filled and the Ferris wheel starts, your seat is in the position shown. Let t be the number of seconds after the Ferris wheel starts. When t = 3s, you first reach the top, 43’ above the ground. The wheel makes a revolution every 24 seconds. The diameter of the wheel is 40’. a. Sketch a graph of d(t).
As you ride a Ferris wheel, your distance from the ground varies
sinusoidally with time. When the last seat is filled and the Ferris wheel starts, your seat is in the position shown. Let t be the number of seconds after the Ferris wheel starts. When t = 3s, you first reach the top, 43’ above the ground. The wheel makes a revolution every 24 seconds. The diameter of the wheel is 40’. b. What is the lowest you go as the wheel turns?
Lesson 3.8 Day 2.notebook
October 18, 2011
As you ride a Ferris wheel, your distance from the ground varies
sinusoidally with time. When the last seat is filled and the Ferris wheel starts, your seat is in the position shown. Let t be the number of seconds after the Ferris wheel starts. When t = 3s, you first reach the top, 43’ above the ground. The wheel makes a revolution every 24 seconds. The diameter of the wheel is 40’. c. Write an equation for d(t). As you ride a Ferris wheel, your distance from the ground varies
sinusoidally with time. When the last seat is filled and the Ferris wheel starts, your seat is in the position shown. Let t be the number of seconds after the Ferris wheel starts. When t = 3s, you first reach the top, 43’ above the ground. The wheel makes a revolution every 24 seconds. The diameter of the wheel is 40’. d. Predict your height above the ground when t = 20 seconds.
Lesson 3.8 Day 2.notebook
October 18, 2011
As you ride a Ferris wheel, your distance from the ground varies
sinusoidally with time. When the last seat is filled and the Ferris wheel starts, your seat is in the position shown. Let t be the number of seconds after the Ferris wheel starts. When t = 3s, you first reach the top, 43’ above the ground. The wheel makes a revolution every 24 seconds. The diameter of the wheel is 40’. e. Find the first 3 times you are 18’ above the ground.
Assignment: p. 133 – 136 4, 5, 8, 11