A camera is set up at the starting line of a drag race 60 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 180 ft and the camera is turning at 0.3 rad/s while filming the dragster. Answer parts a. and b. below. Differentiate both sides of the equation with respect to t. db dt 60 sec 20 do dt What is the speed of the dragster at this point? The speed of the dragster is 180 ft/s. (Type an integer or a decimal.) 4 This camera is turning at a rate of 1.610 rad/s. (Round to three decimal places as needed.). Camera 2 Camera 1 90 ft 60 ft Dragster Starting line 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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
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A camera is set up at the starting line of a drag race 60 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 180 ft and the camera is turning at 0.3 rad/s while filming the
dragster. Answer parts a. and b. below.
Differentiate both sides of the equation with respect to t.
db
dt
60 sec ²0
de
dt
What is the speed of the dragster at this point?
The speed of the dragster is 180 ft/s.
(Type an integer or a decimal.)
4
This camera is turning at a rate of 1.610 rad/s.
(Round to three decimal places as needed.)
Camera 2
Camers 1
90 ft
60 ft
Dragster
Starting line
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?
Transcribed Image Text:A camera is set up at the starting line of a drag race 60 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 180 ft and the camera is turning at 0.3 rad/s while filming the dragster. Answer parts a. and b. below. Differentiate both sides of the equation with respect to t. db dt 60 sec ²0 de dt What is the speed of the dragster at this point? The speed of the dragster is 180 ft/s. (Type an integer or a decimal.) 4 This camera is turning at a rate of 1.610 rad/s. (Round to three decimal places as needed.) Camera 2 Camers 1 90 ft 60 ft Dragster Starting line 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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