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1) The diameter of a car's tire is 52cm and while the car is driven it picks up a nail. The tire makes one revolution every 25 seconds. a) Determine a function that models the height of the nail, h(t) in cm, above the ground in t, seconds after the nail has been caught in the tire. Assume that at time (t = 0), the nail starts in the tire. b) Use your equation to determine the height of the nail above the ground after 2.5 minutes (round your answer to 1 decimal place). c) Sketch a graph for the function of one cycle. Clearly indicate your scale on the graph and label the

1) The diameter of a car's tire is 52cm and while the car is driven it picks up a nail. The tire makes one revolution every 25 seconds. a) Determine a function that models the height of the nail, h(t) in cm, above the ground in t, seconds after the nail has been caught in the tire. Assume that at time (t = 0), the nail starts in the tire. b) Use your equation to determine the height of the nail above the ground after 2.5 minutes (round your answer to 1 decimal place). c) Sketch a graph for the function of one cycle. Clearly indicate your scale on the graph and label the

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 47E
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1) The diameter of a car's tire is 52cm and while the car is driven it picks up a nail. The tire makes one revolution every 25 seconds. a) Determine a function that models the height of the nail, h(t) in cm, above the ground in t, seconds after the nail has been caught in the tire. Assume that at time (t = 0), the nail starts in the tire. b) Use your equation to determine the height of the nail above the ground after 2.5 minutes (round your answer to 1 decimal place). c) Sketch a graph for the function of one cycle. Clearly indicate your scale on the graph and label the axis. d) At what times is the height 26cm above the ground?
Transcribed Image Text:1) The diameter of a car's tire is 52cm and while the car is driven it picks up a nail. The tire makes one revolution every 25 seconds. a) Determine a function that models the height of the nail, h(t) in cm, above the ground in t, seconds after the nail has been caught in the tire. Assume that at time (t = 0), the nail starts in the tire. b) Use your equation to determine the height of the nail above the ground after 2.5 minutes (round your answer to 1 decimal place). c) Sketch a graph for the function of one cycle. Clearly indicate your scale on the graph and label the axis. d) At what times is the height 26cm above the ground?
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