During the design phase of one of its model spacecraft,

Last updated: 8/11/2022

During the design phase of one of its model spacecraft, Spacez launches the Atlas 31415 rocket vertically. A camera is positioned 5000 ft from the launch pad. When the rocket is 12,000 feet above the launch pad, its velocity is 800 ft/sec. Find the necessary rate of change of the camera's angle as a function of time so that it stays focused on the rocket.