Related rates
Not what you're looking for?
Two carts A and B are connected by a rope 39 feet long that passes over pulley P. The point Q is on the floor directly beneath P and between the carts. Cart A is being pulled away from Q at a speed of 2 ft/sec. How fast is cart B moving toward Q at the instant cart A is 5 feet from Q?
Express solution using related rate notation i.e. dy/dt or dx/dt
Purchase this Solution
Solution Summary
This shows how to work with related rates in a word problem.
Solution Preview
We need one more piece of information to answer this question - the height of the pulley. Call this h. Let a be the distance from Cart A to Q and b be the distance from Cart B to Q. Let x be the length of rope from P to A and let y be the length from P to B. Let the length of the rope be L. Hopefully, you are drawing a picture as we go and you should have two right angle triangles which ...
Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.