2-18 A plane flies for 3 h and reaches a point 600 km north and 800 km east of its starting point. Find the direction and magnitude of its average velocity 2-19 A plane flies south at 500 km h¹ for 2 h and then flies west at 500 km h west for 1 h. (a) What is its average speed? (b) What are the mag- nitude and direction of its average velocity?

College Physics
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Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Vector Problems in Airplane Navigation

#### Problem 2.18:
A plane flies for 3 hours and reaches a point 600 km north and 800 km east of its starting point. Find the direction and magnitude of its average velocity.

#### Problem 2.19:
A plane flies south at 500 km/h for 2 hours and then flies west at 500 km/h for 1 hour. 

1. What is its average speed?
2. What are the magnitude and direction of its average velocity?

---

### Solution Explanation:

For Problem 2.18:
- **Direction and Magnitude Calculation**: This involves using Pythagorean Theorem to calculate the magnitude of velocity vector and trigonometric functions to find the direction.

For Problem 2.19:
- **Average Speed Calculation**: This can be found by dividing the total distance traveled by the total time.
- **Magnitude and Direction of Average Velocity**: This involves finding the resultant displacement vector and using it to calculate the average velocity. 

These problems help in understanding the concepts of vectors, magnitudes, and directions, crucial for navigation and related physics problems.
Transcribed Image Text:### Vector Problems in Airplane Navigation #### Problem 2.18: A plane flies for 3 hours and reaches a point 600 km north and 800 km east of its starting point. Find the direction and magnitude of its average velocity. #### Problem 2.19: A plane flies south at 500 km/h for 2 hours and then flies west at 500 km/h for 1 hour. 1. What is its average speed? 2. What are the magnitude and direction of its average velocity? --- ### Solution Explanation: For Problem 2.18: - **Direction and Magnitude Calculation**: This involves using Pythagorean Theorem to calculate the magnitude of velocity vector and trigonometric functions to find the direction. For Problem 2.19: - **Average Speed Calculation**: This can be found by dividing the total distance traveled by the total time. - **Magnitude and Direction of Average Velocity**: This involves finding the resultant displacement vector and using it to calculate the average velocity. These problems help in understanding the concepts of vectors, magnitudes, and directions, crucial for navigation and related physics problems.
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