Related Rates problem. Help me please~

In summary, a related rates problem involves finding the rate of change of one variable with respect to another variable. To solve these problems, you must identify all variables and their rates of change, use given information and the related rates equation to set up an equation, and then use calculus techniques to solve for the desired rate. Common applications include analyzing real-world situations in fields such as physics, engineering, and economics. When solving related rates problems, it is important to carefully read the information, draw a diagram, label variables, and use appropriate calculus techniques. Common mistakes include confusing variables and not differentiating both sides of the equation. It is also important to double check the final answer to ensure it is logical in the context of the problem.
  • #1
rocketdiver
2
0
This is a related rate problem.

A man starts walking north at 4 ft/s from a point P. Five minutes later a woman starts walking south at 5 ft/s from a point 500 ft due east of P. At what rate are the people moving apart 15 min after the woman starts walking?

I'm just trying to interpret it into the numbers and drawing a triangle. But I don't get a right equations for it.


the answer is 837/ sqaure root of 8674 which is 8.99 ft/s

Thank you so much.:smile:
 
Last edited:
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  • #2
Show your work. Where are you having trouble?
 

Related to Related Rates problem. Help me please~

1. What is a related rates problem?

A related rates problem is a type of mathematical problem that involves finding the rate of change of one variable with respect to another variable. These problems typically involve multiple variables and their rates of change are related through a common equation or geometric relationship.

2. How do you solve a related rates problem?

To solve a related rates problem, you must first identify all of the variables involved and their rates of change. Then, you must use the given information and the related rates equation to set up an equation that relates the rates of change. Finally, you can use calculus techniques such as implicit differentiation and the chain rule to solve for the desired rate of change.

3. What are some common applications of related rates problems?

Related rates problems are commonly used in fields such as physics, engineering, and economics to analyze real-world situations where multiple variables are changing at different rates. Some specific applications include finding the rate at which the volume of a balloon is changing, the rate of change of the angle between two moving objects, and the rate at which the area of a triangle is changing.

4. What are some tips for solving related rates problems?

Some tips for solving related rates problems include carefully reading and understanding the given information, drawing a diagram to visualize the problem, and labeling all known and unknown variables. It is also important to set up an equation that relates the rates of change and to use appropriate calculus techniques to solve for the desired rate.

5. What are some common mistakes to avoid when solving related rates problems?

One common mistake when solving related rates problems is to confuse the variables and their rates of change. It is important to clearly identify which variables are changing and which are constant. Another mistake is to not differentiate both sides of the equation when using implicit differentiation. It is also important to carefully check your final answer to ensure it makes sense in the context of the problem.

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