How Do You Solve the Relative Motion Problem Between Mary and Jane?

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In summary, Mary and Jane start running from the same point, with Mary going east at 4.45 m/s and Jane going 63.6 degrees north of east at 5.12 m/s. After 4.09 seconds, they are 24.3 m apart. To solve for this, you can use the equation d = rt, where d is distance, r is rate, and t is time. To find the third side's ratio, you can use trigonometry and the sides as velocity*time ratios. The rules of Sines or Cosines can also be used to solve this problem.
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wick85
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1. Two soccer players, Mary and Jane, begin running from nearly the same point at the same time. Mary runs in an easterly direction at 4.45 m/s, while Jane takes off in a direction 63.6o north of east at 5.12 m/s

How long is it before they are 24.3 m apart?

How far apart are they after 4.09 s?

I've tried setting up this equation so many times, but I'm getting no where. I know I cannot use the Pythagorean Theorem so what do I need to do?
 
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  • #2
Think of the sides as velocity*time ratios. Then use trigonometry to find the third side's ratio. Use d=rt to find your answers.
 
  • #3
Law of Sines or Cosines perhaps?
 
  • #4
I thought you could only use those rules in a right triangle where the other two sides were 45 degrees. one of the sides of this right triangle is 63.6 degrees.

I know the problem should be easy, but it keeps fooling me
 

FAQ: How Do You Solve the Relative Motion Problem Between Mary and Jane?

What is a "two dimensional physics problem"?

A two dimensional physics problem is a problem that involves analyzing and solving for the motion and forces of objects in a two dimensional coordinate system. This means that the problem takes into account both the horizontal and vertical components of an object's motion.

What are the key principles used to solve a two dimensional physics problem?

The key principles used to solve a two dimensional physics problem are Newton's laws of motion, the concept of vectors, and the equations of motion. These principles allow for the calculation of forces, acceleration, and displacement in both the horizontal and vertical directions.

How do you approach solving a two dimensional physics problem?

The first step in solving a two dimensional physics problem is to draw a diagram of the situation, including all the relevant forces and their directions. Then, apply Newton's laws of motion to set up equations for the horizontal and vertical components of motion. Finally, solve for the unknown variables using the appropriate equations.

What are some common mistakes when solving a two dimensional physics problem?

Some common mistakes when solving a two dimensional physics problem include forgetting to consider all the forces acting on an object, using the wrong equations, and mixing up the horizontal and vertical components of motion. It is important to carefully analyze the problem and double check all calculations to avoid these mistakes.

Can a two dimensional physics problem be solved using a calculator or must it be solved by hand?

A two dimensional physics problem can be solved using a calculator, but it is important to have a good understanding of the underlying principles and equations in order to correctly input the values and interpret the results. It is also helpful to check the answer using a different method or by hand to ensure accuracy.

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