MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
A radar station is located on level ground. An aircraft maintains a constant altitude of 3.0 km while flying directly away from the station at a horizontal speed of 250 m/s. Let θ be the angle (in radians) between the horizontal ground and the line of sight to the aircraft. Determine dtdθ at the moment when the aircraft is 5.0 km horizontally from the station. Give your answer in rad/s.