A robot starts from a certain point and moves east for a distance of 5.0 meters, then goes north for 3.0 meters, and then turns west for 2.0

Question

A robot starts from a certain point and moves east for a distance of 5.0 meters, then goes north for 3.0 meters, and then turns west for 2.0 meters. a. What are the x-y coordinates for the resultant vector? b. What is the magnitude of the resultant vector for the robot?

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Gerda 3 years 2021-09-03T05:36:53+00:00 1 Answers 1 views 0

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    2021-09-03T05:38:36+00:00

    Explanation:

    It is given that, a robot starts from a certain point and moves east for a distance of 5.0 meters, then goes north for 3.0 meters, and then turns west for 2.0 meters.

    Let east is +x, west is -x north is +y.

    When it moves east for a distance of 5.0 meters, it means (5,0)

    When it goes north for 3.0 meters, and then turns west for 2.0 meters, it means (0,3) +(-2,0)

    (a) x-y coordinates for the resultant vector is (3,3)

    (b) The magnitude of the resultant vector for the robot is given by :

    R=\sqrt{3^2+3^2} \\\\R=4.24\ m

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