You start at the origin on an ay plane. You walk 20 meters at an angle of 25 degrees north of the +x axis. After that, you turn, then walk 20 metors at an angle 45 degrees north of the +x axis. Finally, you turn and walk 10 meters at an angle 15 degrees south of the +x axis. Your friend, still at the origin, walks in a straight line to you in the fastest route. What angle do thoy take, and how many moters do they go?

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
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5.You start at the origin on an ay plane. You walk 20 meters at an angle of 25 degrees north of the +x axis. After that, you turn, then walk 20 metors at an angle 45 degrees north of the +x axis. Finally, you turn and walk 10 meters at an angle 15 degrees south of the +x axis. Your friend, still at the origin, walks in a straight line to you in the fastest route. What angle do thoy take, and how many moters do they go?
Expert Solution
Step 1

Write the displacement of the first path in vector form.

x1=(20 m)cos25°i^+(20 m)sin25°j^x1=(18.126 m)i^+(8.45 m)j^

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