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Solved: Points moving on coordinate axes Points A and B
Chapter , Problem 152PE(choose chapter or problem)
Problem 152PE
Points moving on coordinate axes Points A and B move along the x- and y-axes, respectively, in such a way that the distance r (meters) along the perpendicular from the origin to the line AB remains constant. How fast is OA changing, and is it increasing, or decreasing, when OB = 2r and B is moving toward O at the rate of 0.3r m/sec?
Questions & Answers
QUESTION:
Problem 152PE
Points moving on coordinate axes Points A and B move along the x- and y-axes, respectively, in such a way that the distance r (meters) along the perpendicular from the origin to the line AB remains constant. How fast is OA changing, and is it increasing, or decreasing, when OB = 2r and B is moving toward O at the rate of 0.3r m/sec?
ANSWER:
Solution
Step 1 of 3
In this problem, we have to find how fast is OA changing, and is it increasing, or decreasing.
Given that, points moving on coordinate axes points A and B move along the x- and y-axes, respectively, in such a way that the distance r (meters) along the perpendicular from the origin to the line AB remains constant. And also given that when OB = 2r and B is moving toward O at the rate of 0.3r m/sec.
Diagram of the given problem is
