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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. 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
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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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: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
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
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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