Car C is constantly 4 feet from the center of the race track and travels at a constant speed. The angle Car C sweeps out increases at a constant rate of 0.5 radian per second. a. How many radians 0 does car C sweep out in t seconds? Preview b. Define a function h that determines Car C'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. h(t) Preview c. Car C must sweep out 27 radians to complete one full lap, and we know it sweeps out 0.5 radian per second. How many seconds will it take Car C to complete one full lap? seconds Preview d. Sketch the graph of the function h below. h(t) 4 3. 1 t 37t/2 -1 -2 -3 -4 -5- Clear All Draw: e. What is the amplitude of h? Preview

Physics for Scientists and Engineers: Foundations and Connections
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Chapter7: Gravity
Section: Chapter Questions
Problem 49PQ
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Four toy racecars are racing along a circular race track. The cars start at the 3-o'clock position and travel CCW along the track.

Car C is constantly 4 feet from the center of the race track and travels at a constant speed. The angle Car C sweeps out increases at a constant
rate of 0.5 radian per second.
a. How many radians 0 does car C sweep out in t seconds?
0 =
Preview
b. Define a function h that determines Car C'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.
h(t) =
Preview
c. Car C must sweep out 27 radians to complete one full lap, and we know it sweeps out 0.5 radian per second. How many seconds will it
take Car C to complete one full lap?
seconds
Preview
d. Sketch the graph of the function h below.
h(t)
4
2
t
3/2
-1
-2
-3
-4
-5
Clear All Draw:
e. What is the amplitude of h?
Preview
3.
Transcribed Image Text:Car C is constantly 4 feet from the center of the race track and travels at a constant speed. The angle Car C sweeps out increases at a constant rate of 0.5 radian per second. a. How many radians 0 does car C sweep out in t seconds? 0 = Preview b. Define a function h that determines Car C'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. h(t) = Preview c. Car C must sweep out 27 radians to complete one full lap, and we know it sweeps out 0.5 radian per second. How many seconds will it take Car C to complete one full lap? seconds Preview d. Sketch the graph of the function h below. h(t) 4 2 t 3/2 -1 -2 -3 -4 -5 Clear All Draw: e. What is the amplitude of h? Preview 3.
Four toy racecars are racing along a circular race track. The cars start at the 3-o'clock position and travel CCW along the track.
t = 1.32
Car C is constantly 4 feet from the center of the race track and travels at a constant speed. The angle Car C sweeps out increases at a constant
rate of 0.5 radian per second.
a. How many radians 0 does car C sweep out in t seconds?
Preview
b. Define a function h that determines Car C'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.
h(t)
Preview
c. Car C must sweep out 27 radians to complete one full lap, and we know it sweeps out 0.5 radian per second. How many seconds will it
take Car C to complete one full lap?
seconds
Preview
d. Sketch the graph of the function h below.
Transcribed Image Text:Four toy racecars are racing along a circular race track. The cars start at the 3-o'clock position and travel CCW along the track. t = 1.32 Car C is constantly 4 feet from the center of the race track and travels at a constant speed. The angle Car C sweeps out increases at a constant rate of 0.5 radian per second. a. How many radians 0 does car C sweep out in t seconds? Preview b. Define a function h that determines Car C'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. h(t) Preview c. Car C must sweep out 27 radians to complete one full lap, and we know it sweeps out 0.5 radian per second. How many seconds will it take Car C to complete one full lap? seconds Preview d. Sketch the graph of the function h below.
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