A television camera is positioned 4000 ft from the base ofa rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep therocket in sight. Also, the mechanism for focusing the camera has to take into account the increasing distance fromthe camera to the rising rocket. Let’s assume the rocketrises vertically and its speed is 600 fts when it has risen3000 ft.(a) How fast is the distance from the television camera tothe rocket changing at that moment?(b) If the television camera is always kept aimed at therocket, how fast is the camera’s angle of elevationchanging at that same moment?
A television camera is positioned 4000 ft from the base ofa rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep therocket in sight. Also, the mechanism for focusing the camera has to take into account the increasing distance fromthe camera to the rising rocket. Let’s assume the rocketrises vertically and its speed is 600 fts when it has risen3000 ft.(a) How fast is the distance from the television camera tothe rocket changing at that moment?(b) If the television camera is always kept aimed at therocket, how fast is the camera’s angle of elevationchanging at that same moment?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A television camera is positioned 4000 ft from the base of
a rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep the
rocket in sight. Also, the mechanism for focusing the camera has to take into account the increasing distance from
the camera to the rising rocket. Let’s assume the rocket
rises vertically and its speed is 600 fts when it has risen
3000 ft.
(a) How fast is the distance from the television camera to
the rocket changing at that moment?
(b) If the television camera is always kept aimed at the
rocket, how fast is the camera’s angle of elevation
changing at that same moment?
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