Jake was travelling 12 [km], 30° S of E, then 15 [km], 45° N of E, and then 9 [km], 30° E of N. At the end of this trek, he realized that in the last leg he should have travelled 16 [km], 60° N of W instead of the third path he originally took. 1. In component form, what path should Jake take to reach his supposed destination? 2. Jake now travelled the path you calculated in A. In component form, what now is his displacement from his initial position? 3. Having found treasure, Jake called for an airlift. The airlift is located 80 [km], S, from his initial position. In magnitude-bearing form, determine the path the airlift must take to reach Jake. 4. The aircraft took a detour by travelling 50 [km], 30° S of W from its original location, to a gas station. In magnitude-bearing form, what path must the airlift now take to reach Jake from the gas station?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Jake was travelling 12 [km], 30° S of E, then 15 [km], 45° N of E, and
then 9 [km], 30° E of N. At the end of this trek, he realized that in the
last leg he should have travelled 16 [km], 60° N of W instead of the
third path he originally took.
1. In component form, what path should Jake take to reach his
supposed destination?
2. Jake now travelled the path you calculated in A. In component
form, what now is his displacement from his initial position?
3. Having found treasure, Jake called for an airlift. The airlift is
located 80 [km], S, from his initial position. In magnitude-bearing
form, determine the path the airlift must take to reach Jake.
4. The aircraft took a detour by travelling 50 [km], 30° S of W from its
original location, to a gas station. In magnitude-bearing form, what
path must the airlift now take to reach Jake from the gas station?
Transcribed Image Text:Jake was travelling 12 [km], 30° S of E, then 15 [km], 45° N of E, and then 9 [km], 30° E of N. At the end of this trek, he realized that in the last leg he should have travelled 16 [km], 60° N of W instead of the third path he originally took. 1. In component form, what path should Jake take to reach his supposed destination? 2. Jake now travelled the path you calculated in A. In component form, what now is his displacement from his initial position? 3. Having found treasure, Jake called for an airlift. The airlift is located 80 [km], S, from his initial position. In magnitude-bearing form, determine the path the airlift must take to reach Jake. 4. The aircraft took a detour by travelling 50 [km], 30° S of W from its original location, to a gas station. In magnitude-bearing form, what path must the airlift now take to reach Jake from the gas station?
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