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 = 2.67 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 does car C sweep out in t seconds? 0 = 0.5t D 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.
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 = 2.67 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 does car C sweep out in t seconds? 0 = 0.5t D 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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help me with d and e please
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 = 2.67
0
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 does car C sweep out in t seconds?
= 0.5t
h(t)
Preview
= 4cos (0.5t)
C
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.
В.
Preview
Transcribed Image Text: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?
(2pi)/0.5
d. Sketch the graph of the function h below.
3
2
1
*
-1
-2
-3
h(t)
✓ seconds
π/2
Clear All Draw: MM
π
e. What is the amplitude of h?
Preview
Preview
3/2
2π
t
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