A man travels a distance if 1.5 m towards east ,then 2m towards south and 4.5 m towards east. i) What is the total distance travelle

Question

A man travels a distance if 1.5 m towards east ,then 2m towards south and 4.5 m towards east.
i) What is the total distance travelled
ii) what is the result in displacement

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Mít Mít 3 weeks 2021-09-04T20:39:45+00:00 1 Answers 0 views 0

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    2021-09-04T20:41:06+00:00

    Answer:

    i) 8.0m

    ii) 6.32m

    Explanation:

    i) The total distance traveled will be the sum total of individual distances traveled by the man.

    If the man travels a distance if 1.5 m towards east ,then 2m towards south and 4.5 m towards east, the total distance traveled will be expressed as; 1.5m+2m+4.5m

    = 8.0m

    ii) In order to get the man resultant displacement, we will use the Pythagoras theorem. Since the man travels a distance if 1.5 m and 4.5m towards east, the total distance taken towards east will be 6.0m and the distance traveled towards south is 2.0m. The resultant displacement of the man is expressed as;

    R = \sqrt{x^{2}+y^{2}  }

    Note that the eastward direction is the x-direction while the south direction is the y-direction.

    x = 6.0m and y = 2.0m

    R = \sqrt{6^{2}+2^{2}  } \\R = \sqrt{36+4}\\ R = \sqrt{40} \\R = 6.32m

    The displacement of the man is 6.32m

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