A plane flying horizontally at an altitude of \( 1 mi \) and a speed of \( 500 mi / h \) passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is \( 2 mi \) away from the station.
(a) What quantities are given in the problem? (b) What is the unknown? (c) Draw a picture of the situation for any time \( t \) . (d) Write an equation that relates the quantities. (e) Finish solving the problem.