Textbook ExpertVerified Tutor
26 Oct 2021
Given information
A television camera is positioned from the base of a rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. Also, the mechanism for focusing the camera has to take into account the increasing distance from the camera to the rising rocket. Let’s assume the rocket rises vertically and its speed is when it has risen .
Step-by-step explanation
Step 1.
Below picture show the graphical representation of the given information.
When
We need to find , the rate of change of distance from the camera to the rocket. Differentiate the Pythagorean theorem equation with respect to time .