Consider a television camera positioned 1 km from the base of a launching pad and thatthe rocket is rising vertically at constant speed. Imagine the angle of the camera isalways adjusted in a way to keep it aimed at the rocket. As the rocket rises, the angle ofthe cameraEventually stops increasing completely.Keeps increasing and has too change each time faster and faster.Keeps increasing but can change each time slower and slower.Increases at first, but then starts to decrease after some time.Page 5 of 7

Answered: Image /qna-images/answer/8cbb5f11-19bc-4082-bfc6-3bf2b3b23488.jpg

Answered: Consider a television camera positioned…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter9: Real Numbers And Right Triangles

Section9.5: The Distance And Midpoint Formulas

Problem 3C

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Time for some rocket science (or AV-tech science?)! Let's go to Mars (on TV)! A television camera is positioned 4000 m from the base of the Mars Explorer 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 m/s when it has risen 3000 m. (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? (a) (b) m/s radians/s
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