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Two soccer players kick a soccer ball back and forth along a straight line. The first player kicks the ball 16 m to the right to the second player. The second player kicks the ball to the left weakly; it only moves 3.1 m before stopping. (Consider the right to be the positive direction. Where applicable, indicate the direction with the sign of your answer. All distances are in meters.)

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okpalawalter8

Answer:

a

The total distance is [tex]d_t =19.1 m[/tex]

b

The displacement is

  [tex]D_t = 12.9m[/tex]

Explanation:

From the question we are told that

        Distance traveled by the ball for first player [tex]d_f = 16m[/tex] to the right

        Distance  traveled by the ball for second player [tex]d_s = 3.1 m[/tex] to the left

       

The total distance traveled by the ball is mathematically represented as

                   [tex]d_t = d_f + d_s[/tex]

Substituting values

                  [tex]d_t = 16 + 3.1[/tex]

                  [tex]d_t =19.1 m[/tex]

The displacement is mathematically represented as

              [tex]D_t = d_f -d_s[/tex]

This is because displacement deal with direction and from the question we are told that right is positive and left is negative

          Substituting values  

                [tex]D_t = 16 -3.1[/tex]

                 [tex]D_t = 12.9m[/tex]

     

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