What is the magnite of the net displacement of the mouse?

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What is the magnite of the net displacement of the mouse?

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Nguyệt Ánh 2 months 2021-07-30T03:16:00+00:00 1 Answers 1 views 0

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    2021-07-30T03:17:53+00:00

    Complete Question

    A field mouse trying to escape a hawk runs east for 5.0m, darts southeast for 3.0m, then drops 1.0m down a hole into its burrow. What is the magnitude of the net displacement of the mouse?

    Answer:

    The  values is  s =  7.49 \  m

    Explanation:

    From the question we are told that

       The  distance it travels eastward is  x =  5.0 \ m

       The distance it travel towards the southeast  is l  =  3.0\  m

       The distance it travel towards the south is  z =  1 \  m

     

    Let x-axis  be east

          y-axis  south

           z-axis into the ground

    The angle made between east and south is  \theta  =  45^o

    The displacement toward x-axis is

           x =  5 +  3cos(45)

           x =  7.12

     The  displacement toward the y-axis is  

         y  =  3 *  sin (45)

          y =  2.123

    Now the overall displacement of the rat is mathematically evaluated as

            s =  \sqrt{7.12^2 +  2.12^2 +  1^2}

          s =  7.49 \  m

         

       

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