08.12 Features of Trigonometric Graphs Part II Questions 1-10 of 10 | Page 1 of 1 Question 1 (5 points) A bicycle wheel is spinning in place. The vertical position of a point on the wheel, in inches, is described by the function fit) = 13.5 sin (5 # 2nt) + 20. Time t is measured in seconds. What is the meaning of 20 in this context? B IVES'S An G Question 2 (5 points) A wheel rotates three times per second in a counterclockwise direction. The center of teh wheel does not move. What angle does the point P rotate through in one second? O a 2n/3 radians Ob 2n radians O c 3n radians O d 6n radiansQuestion 3 (5 points) A bicycle wheel is spinning in place. The vertical position of a point on the wheel, in inches, is described by the function f(t) = 13.5 sin (5 * 2nt) + 20. Time t is measured in seconds. What is the meaning of 5 in this context? BIU IE Q Question 4 (5 points) The vertical position of a seat on a Ferris wheel is described by the function f(t) = 80 sin (2nt/30) + 95. Time t is measured in seconds and the output of f is measured in feet. Write an equation describing the vertical position on a Ferris wheel thatspins the same speed as the Ferris wheel described by f but whose radius is twice as large.Question 5 (5 points) Which trigonometric function has period5? O a f(x) = sin (1/5x) Ob f(x) = sin (5x) OC f(x) = sin (5/2nx) Od f(x) = sin (2n/5 x) Question 6 (5 points) What is the period of the function f given by f(t) = cos(4nt)? Explain how you know.Question 7 (5 points) A bicycle wheel is spinning in place. The vertical position of a point on the wheel, in inches, is described by the function f(t) = 13.5 sin (5 * 2nt) + 20. Time t is measured in seconds. What is the meaning of 13.5 in this context? BIU U Question 8 (5 points) each expression describes the vertical position, in feet off the ground, of a carriage on a Ferris wheel after t minutes. Which function describes the largest Ferris wheel? O a 100sin(2nt/20) + 110 Ob 100sin(2nt/30) + 110 OC 200sin(2nt/30) + 210 O d 250sin(2nt/20) + 260Question 9 (5 points) A windmill blade spins in a counterclockwise direction, making one full revolution every 5 seconds. Which statements are true? Select all that apply. O a After 15 seconds, the pint W will be in its starting position. O b After 1/5 of a second, the point W will be in its starting position. DC In 1 second, the point W travels through an angle of n/5. Od The position of W repeats every 5 seconds. e The position of W repeats every 10 seconds.Question 10 (5 points) The vertical position of a seat on a Ferris wheel is described by the function fit) = 80 sin (2nt/30) + 95. Time t is measured in seconds and the output of f is measured in feet. Write an equation describing the vertical position on a Ferris wheel that is the same size as the Ferris wheel described by f but spins twice as quickly. BIU S