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 120 ft and the camera is turning at 0.4 rad/s while filming the dragster. Answer parts a. and b. below. Camera Camera I Drag 60 ft jio n a. Write an equation relating the distance the dragster has traveled, b, to the angle e through which camera 1 has turned to film it. b= 60 tan 0 Differentiate both sides of the equation with respect to t. db de 60( sec 0)? dt What is the speed of the dragster at this point? The speed of the dragster is (Type an integer or a decimal.)
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 120 ft and the camera is turning at 0.4 rad/s while filming the dragster. Answer parts a. and b. below. Camera Camera I Drag 60 ft jio n a. Write an equation relating the distance the dragster has traveled, b, to the angle e through which camera 1 has turned to film it. b= 60 tan 0 Differentiate both sides of the equation with respect to t. db de 60( sec 0)? dt What is the speed of the dragster at this point? The speed of the dragster is (Type an integer or a decimal.)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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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
120 ft and the camera is turning at 0.4 rad/s while filming the dragster. Answer parts a. and b. below.
Starting line
Camera 2
Camera 1
Dragster
60 ft
110 ft
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 = 60 tan 0
Differentiate both sides of the equation with respect to t.
db
de
= ( 60( sec 0)² )
%3D
dt
dt
What is the speed of the dragster at this point?
The speed of the dragster is
(Type an integer or a decimal.)
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