Car D is constantly 3.5 feet from the center of the race track and travels at a constant speed. The angle with a terminal ray passing through Car D sweeps out r radians per second. a. How many radians 0 does the angle sweep out in t seconds? Preview

University Physics Volume 1
18th Edition
ISBN:9781938168277
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Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
Problem 69P
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Car D is constantly 3.5 feet from the center of the
race track and travels at a constant speed. The
angle with a terminal ray passing through Car D
sweeps out r radians per second.
a. How many radians 0 does the angle sweep
out in t seconds?
Preview
b. Define a function j that determines Car D's
distance to the right of the center of the
race track (in feet) as a function of the
number of seconds t since the start of the
race.
j(t) =
Preview
c. The angle with a terminal ray passing
through Car D must sweep out 27 radians
to make one full rotation, and we know it
sweeps out r radians per second. How
many seconds will it take Car D to
complete one full lap?
| seconds
Preview
d. Sketch the graph of the function j below.
Transcribed Image Text:Car D is constantly 3.5 feet from the center of the race track and travels at a constant speed. The angle with a terminal ray passing through Car D sweeps out r radians per second. a. How many radians 0 does the angle sweep out in t seconds? Preview b. Define a function j that determines Car D's distance to the right of the center of the race track (in feet) as a function of the number of seconds t since the start of the race. j(t) = Preview c. The angle with a terminal ray passing through Car D must sweep out 27 radians to make one full rotation, and we know it sweeps out r radians per second. How many seconds will it take Car D to complete one full lap? | seconds Preview d. Sketch the graph of the function j below.
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