Someone drives 215 km west before turning to go 98 km southwest at 45 degrees. a. How far are they from where they started? b.) In what direction are they from where the started, measured counterclockwise from due east?

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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Someone drives 215 km west before turning to go 98 km southwest at 45 degrees.

a. How far are they from where they started?

b.) In what direction are they from where the started, measured counterclockwise from due east?

Expert Solution
Step 1: Given data

Initially, the person covers a distance d subscript 1 equals 215 space km in west direction.

After that, the person travels a distance d subscript 2 equals 98 space km in southwest direction at 45 to the power of degree

Find:

(a) Magnitude of the resultant displacement vector.

(b) Direction of the resultant displacement vector.

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