19-related-rates

# 19-related-rates - Math 1a 1 Related Rates Fall 2009 Two...

This preview shows pages 1–3. Sign up to view the full content.

Math 1a Related Rates Fall, 2009 1 Two cars are approaching an intersection. A red car, approaching from the north, is traveling 30 feet per second and is currently 60 feet from the intersection. A blue car, approaching from the east, is traveling 20 feet per second and is currently 80 feet from the intersection. How fast is the distance between the two cars decreasing? 2 A winch is pulling a boat toward a dock. The winch pulls the line in at a constant rate of 2 feet per second. The rope leaves the winch 14 feet above (vertically) where it connects to the boat. How fast is the boat moving (horizontally through the water) when it is 48 feet from the dock? 3 A plane going 300 mph passes immediately overhead an observer on the ground, at a height of 5 miles. How fast is the distance between the observer and the plane changing 5 minutes later? (Assume the plane’s speed is constant.)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
4 A weather balloon is being filled with helium from a tank at a constant rate of 20 cubic feet per second. Assume that at any particular moment the balloon is a sphere.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern