Calc based- motion in 2 and 3 dimensions

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SUMMARY

The discussion focuses on calculating the average velocity of a train moving in two and three dimensions. The train travels at a constant speed of 79.0 km/h for 25 minutes east, then at an angle of 37.0° east of north for 18.0 minutes, and finally west for 54.0 minutes. To solve for the average velocity's magnitude and angle, it is essential to decompose the motion into eastward and northward components. Participants emphasize the importance of making a reasonable attempt at the problem before seeking help.

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  • Understanding of vector decomposition in physics
  • Familiarity with trigonometric functions for angle calculations
  • Knowledge of average velocity and its calculation
  • Basic concepts of motion in two dimensions
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  • Learn how to apply trigonometric functions to resolve angles
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Homework Statement


A train at a constant 79.0 km/h moves east for 25 min, then in a direction 37.0° east of due north for 18.0 min, and then west for 54.0 min. What are the (a) magnitude (in km/h) and (b) angle (relative to north, with east of north positive and west of north negative) of its average velocity during this trip?


Homework Equations


Apparently I don't know.

The Attempt at a Solution


I really have no idea where to even start.
 
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It's always best to start by splitting the motion into perpendicular components, in this case eastward components and northward components.

Please be aware that we will help you solve this problems, but you are expected to make a decent attempt at them yourself. "I don't know where to start" isn't really a decent attempt, you can look at examples in your notes or textbook for example.
 

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