Rocket [Science]

Calculus Level 3

A Television camera is positioned 900 m 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 that the rocket rises vertically and its speed 250 m/s when it has risen 1200 m. How fast is the distance from the television camera to the rocket changing at that moment? (in m/s)

(Bilkent University, 1st Midterm Question)

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