In a coordinate system in which the direction to the right is positive, what are the distance
and displacement of a person who walks 35meters to the left, 18meters to the right, and then
26meters to the left?

Respuesta :

Answer:

The distance is [tex]d = 79 \ m [/tex]

The displacement is 43 m to the left

Explanation:

Generally the distance is mathematically represented as

[tex]d = a + b + c [/tex]

substituting 35 meters for b, 18 meters for a and 26 meters for c

So

[tex]d = 35 + 18 + 26 [/tex]

[tex]d = 79 \ m [/tex]

In the question we are going to assume the left direction is negative while right direction is positive

Generally the displacement is mathematically represented as

[tex]D = x + y + z[/tex]

substituting (- 35) meters  for y, (+ 18 )meters for x and  (-26) meters for z

[tex]D = 18 - 35 -26[/tex]

[tex]D = - 43\ m[/tex]

So  the displacement is 43 meters to the left

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