A television camera at ground level is filming the lift-off of a space shuttle at a

Chapter 5, Problem 100

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Angular Rate of Change A television camera at ground level is filming the lift-off of a space shuttle at a point 800 meters from the launch pad. Let \(\theta\) be the angle of elevation of the shuttle and let s be the distance between the camera and the shuttle (see figure). Write \(\theta\) as a function of s for the period of time when the shuttle is moving vertically. Differentiate the result to find \(d \theta / d t\) in terms of s and ds/dt.

Text Transcription:

theta

d theta / dt

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