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October 22, 2014

October 22, 2014

Posted by **Robin** on Monday, July 1, 2013 at 7:11pm.

How fast is the distance from the camera to the rocket changing in ft/s at that moment?

If the televison camera is always kept aimed at the rocket, how fast is the camera's angle of elevation changing in radians/s at that moment?

- Calculus -
**Steve**, Tuesday, July 2, 2013 at 12:12amThe distance y when the rocket has reached height h is given by

y^2 = h^2 + 2500^2

So, when h=4000, y = 500√89

2y dy/dt = 2h dh/dt

2(500√89) dy/dt = 2(4000)(800)

dy/dt = 6400/√89 = 678.4 ft/s

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