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.b50tan 0 =Differentiate both sides of the equation with respect to t.dedtdbdt50 sec ²0Camera 2This camera is turning at a rate of rad/s.(Round to three decimal places as needed.)Camera 1_90 ft50 ftDragsterStarting lineWhat 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?

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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Question

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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