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You drive 7.50 km in a straight line in a direction 15º

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs ISBN: 9781938168000 42

Solution for problem 18PE Chapter 3

College Physics | 1st Edition

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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

College Physics | 1st Edition

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Problem 18PE

You drive 7.50 km in a straight line in a direction 15º east of north. (a) Find the distances you would have to drive straight east and then straight north to arrive at the same point. (This determination is equivalent to find the components of the displacement along the east and north directions.) (b) Show that you still arrive at the same point if the east and north legs are reversed in order.

Step-by-Step Solution:

Solution to 18PE

Step 1 of 2

Here we have to find the distance travelled by the driver in east and north direction so that we can reach the same position if we travel 7.5km in a direction  East of north. To compute the distance travelled, we need to resolve the position vector and find its magnitude.

(a)

Resolving the position vector:

Thus resolving the position vector  we get two components namely:

Where  in  East of North. 

Thus the distance traveled in North and east directions are



Step 2 of 2

Chapter 3, Problem 18PE is Solved
Textbook: College Physics
Edition: 1
Author: Paul Peter Urone, Roger Hinrichs
ISBN: 9781938168000

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You drive 7.50 km in a straight line in a direction 15º