A camera is set up at the starting line of a drag race 50 ft from a dragster at the starting line (camera 1 in the figure). Two seconds after the start of the race, the dragster has traveled 150 ft and the camera is turning at 0.3 rad/s while filming the dragster. Answer parts a. and b. below. a. Write an equation relating the distance the dragster has traveled, b, to the angle 8 through which camera 1 has turned to film it. b tan 8= 50 db C = 50 sec ²0 This camera is turning at a rate of rad/s. (Round to three decimal places as needed.) Camera 2 Camera 1 90 ft 50 ft Differentiate both sides of the equation with respect to t de dt dt What is the speed of the dragster at this point? The speed of the dragster is 150 ft/s. (Type an integer or a decimal.) b. A second camera (camera 2 in the figure) filming the dragster is located on the starting line 90 ft away from the dragster at the start of the race. How fast is this camera turning 2 s after the start of the race? Dragster Starting line
A camera is set up at the starting line of a drag race 50 ft from a dragster at the starting line (camera 1 in the figure). Two seconds after the start of the race, the dragster has traveled 150 ft and the camera is turning at 0.3 rad/s while filming the dragster. Answer parts a. and b. below. a. Write an equation relating the distance the dragster has traveled, b, to the angle 8 through which camera 1 has turned to film it. b tan 8= 50 db C = 50 sec ²0 This camera is turning at a rate of rad/s. (Round to three decimal places as needed.) Camera 2 Camera 1 90 ft 50 ft Differentiate both sides of the equation with respect to t de dt dt What is the speed of the dragster at this point? The speed of the dragster is 150 ft/s. (Type an integer or a decimal.) b. A second camera (camera 2 in the figure) filming the dragster is located on the starting line 90 ft away from the dragster at the start of the race. How fast is this camera turning 2 s after the start of the race? Dragster Starting line
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![A camera is set up at the starting line of a drag race 50 ft from a dragster at the starting line (camera 1 in the figure). Two seconds after the start of the race,
the dragster has traveled 150 ft and the camera is turning at 0.3 rad/s while filming the dragster. Answer parts a. and b. below.
a. Write an equation relating the distance the dragster has traveled, b, to the angle 0 through which camera 1 has turned to film it.
b
50
tan 0 =
Differentiate both sides of the equation with respect to t.
de
dt
db
dt
50 sec ²0
Camera 2
This camera is turning at a rate of rad/s.
(Round to three decimal places as needed.)
Camera 1
_90 ft
50 ft
Dragster
Starting line
What is the speed of the dragster at this point?
The speed of the dragster is 150 ft/s.
(Type an integer or a decimal.)
b. A second camera (camera 2 in the figure) filming the dragster is located on the starting line 90 ft away from the dragster at the start of the race. How fast is this camera turning 2 s after the start of the race?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd5e8bfb0-9290-485b-a131-2b15f73917a2%2F9442341e-758e-4344-ac3a-c370257ac038%2F7ldfm4t_processed.png&w=3840&q=75)
Transcribed Image Text:A camera is set up at the starting line of a drag race 50 ft from a dragster at the starting line (camera 1 in the figure). Two seconds after the start of the race,
the dragster has traveled 150 ft and the camera is turning at 0.3 rad/s while filming the dragster. Answer parts a. and b. below.
a. Write an equation relating the distance the dragster has traveled, b, to the angle 0 through which camera 1 has turned to film it.
b
50
tan 0 =
Differentiate both sides of the equation with respect to t.
de
dt
db
dt
50 sec ²0
Camera 2
This camera is turning at a rate of rad/s.
(Round to three decimal places as needed.)
Camera 1
_90 ft
50 ft
Dragster
Starting line
What is the speed of the dragster at this point?
The speed of the dragster is 150 ft/s.
(Type an integer or a decimal.)
b. A second camera (camera 2 in the figure) filming the dragster is located on the starting line 90 ft away from the dragster at the start of the race. How fast is this camera turning 2 s after the start of the race?
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