9. [-/10 Points] DETAILS SCALCET9 3.9.029. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Gravel is being dumped from a conveyor belt at a rate of 25 fts/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast (in ft/min) is the height of the pile increasing when the pile is 14 ft high? (Round your answer to two decimal places.) ft/min Need Help? Read It Watch It 10. [-/10 Points] DETAILS SCALCET9 3.9.045. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A television camera is positioned 4,000 ft 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 800 ft/s when it has risen 3,000 ft. (a) How fast (in ft/s) is the distance from the television camera to the rocket changing at that moment? ft/s (b) If the television camera is always kept aimed at the rocket, how fast (in rad/s) is the camera's angle of elevation changing at that same moment? rad/s Need Help? Read It Watch It