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Non-reletavistic motion

1.) While riding on an elevator descending with a constant speed of 2.4 m/s, you accidentally drop a book from under your arm
a.) How long does it take for the book to reach the elevator floor, 1.4 m below your arm?
b.) What is the book's speed relative to you when it hits the elevator floor?

2.) A passenger walks from one side of a ferry to the other as it approaches a dock. If the passenger's velocity is 1.80 m/s due north relative to the ferry, and 4.5 m/s at an angle of 32.0 degrees west of north relative to the water, what are the direction and magnitude of the ferry's velocity relative to the water
_____ degrees west of north
_____ m/s

3.) Two airplanes taxi as they approach the terminal. Plane 1 taxies with a speed of 11.0 m/s due north. Plane 2 taxies with a speed of 6.4 m/s in a direction 19.7 degrees north of west.
a.) What are the direction and magnitude of the velocity of plane 1 relative to plane 2
Direction __________ degrees north of east
Magnitude __________ m/s
b.) What are the direction and magnitude of the velocity of plane 2 relative to plane 1
Direction __________ degrees south of west
Magnitude __________ m/s

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Solution Summary

The following 6-pages file contains full derivation of the solutions to three problems, all dealing with relative motion to an observer in non-relativistic (v<<c) systems.