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A car traveled 7 km 40 degrees west of north and then 10 km east. What is the resultant...

Question:

A car traveled 7 km 40 degrees west of north and then 10 km east. What is the resultant displacement using scale drawing?

Vector Addition

The graphical way to perform vector addition is by using the head-to-tail method. Vectors are drawn to scale based on their magnitude and angle (direction). The vector from the free tail to the free head is the resultant vector.

Answer and Explanation:

We will use the head-to-tail method to determine the resultant displacement. The figure below is drawn to scale and it was found that the resultant displacement is {eq}7.68~\mathrm{km},~44.2^\circ{/eq} N of E.


Learn more about this topic:

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Vector Addition (Geometric Approach): Explanation & Examples

from UExcel Physics: Study Guide & Test Prep

Chapter 2 / Lesson 2
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