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
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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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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