Question: A train is traveling at 0.8 km/min along a long straight track, moving in the direction shown in Figure. A movie camera, 0.5 km away from the track, is focused on the train.
(a) Express z, the distance between the camera and the train, as a function of x.
(b) How fast is the distance from the camera to the train changing when the train is 1 km from the camera? Give units.
(c) How fast is the camera rotating (in radians/min) at the moment when the train is 1 km from the camera?
