A television camera is positioned 400 m from a rocket launch pad and must track the…

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A television camera is positioned 400 m from a rocket launch pad and must track the rocket as it ascends vertically. The camera can rotate no faster than 0.03 rad/s. What is the maximum vertical speed (in m/s) the rocket can have when it reaches an altitude of 800 m so that the camera can continue to keep the rocket centered in view?

Related theory

Browse the problem library