SOLUTION: A small airplane at an altitude of 5000 feet is flying East at 300 feet per second, and you are watching it with a small telescope as it passes directly overhead. Refer to the fi

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Question 1106044: A small airplane at an altitude of 5000 feet is flying East at 300 feet per second, and you are watching it with a small telescope as it passes directly overhead. Refer to the figure above.
a. What is the slope of the telescope 5, 10, and 20 seconds after the plane passes overhead?
b. What is the slope of the telescope t seconds after the plane passes overhead?
c. After it passes overhead, is the slope of the telescope increasing, decreasing, or staying the same?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Figure is not shown but the problem description is understandable enough.

(a):
5%2A300=1500, feet
-
10%2A300=3000, feet
-
20%2A300=6000, feet
-
The telescope's corresponding slopes for those are
5000%2F1500=50%2F15=10%2F3;
-
5000%2F3000=5%2F3
-
5000%2F6000=5%2F6



(b):
slope, 5000%2F%28t%2A300%29
50%2F%283t%29