Starting in Albany, you travel a distance 427 miles in a direction 38.0 degrees north of west. Then, from this new position, you travel another distance 483 miles in a direction 24.0 degrees north of east. In your final position, what is your displacement from Albany?

Starting in Albany, you travel a distance 427 miles in a direction 38.0 degrees north of west. Then, from this new position, you travel another distance 483 miles in a direction 24.0 degrees north of east. In your final position, what is your displacement from Albany?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 29P: A delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast,...

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

Starting in Albany, you travel a distance 427 miles in a direction 38.0 degrees north
of west. Then, from this new position, you travel another distance 483 miles in a
direction 24.0 degrees north of east. In your final position, what is your displacement
from Albany?

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Step 1: Break down the displacements in x and y planes

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