A television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters from the launch pad. Let @ be the angle of elevation of the shuttle and let s be the distance between the camera and the shuttle (see figure). Write as a function of s for the period of time when the shuttle is moving vertically. Differentiate the result to find de/ dt in terms of s and ds / dt. de/dt = 750 s(3²-750²) ( ) 750 8 (8²-7502) Servant ds/dt

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
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A television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters from the launch pad. Let be the angle of elevation of the shuttle and let s be the distance between the camera and the shuttle (see figure). Write 8 as a function of s for the
period of time when the shuttle is moving vertically. Differentiate the result to find de / dt in terms of s and ds / dt.
750
s(²-750²)
de / dt =
750
s (s² - 7502)
750 m-
Bunny
ds / dt
Transcribed Image Text:A television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters from the launch pad. Let be the angle of elevation of the shuttle and let s be the distance between the camera and the shuttle (see figure). Write 8 as a function of s for the period of time when the shuttle is moving vertically. Differentiate the result to find de / dt in terms of s and ds / dt. 750 s(²-750²) de / dt = 750 s (s² - 7502) 750 m- Bunny ds / dt
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