Asecurity camera is centered 50 feet above a 100 foot hallway. it is easiest to design the camera with a constant angular rate of rotation but this results in a variable rate at which the images of the surveillance camera or recorded. so it is desirable to design a system with a variable rate of rotation and a constant rate of movement of the scanning being alone with her i find a model for the variable rate rotation if dx/dt= 2ft per second