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Suppose that John lives on a square block that is 180 yards per side,
and in the evenings, he walks with his dog around the block for a little
exercise.

a. If John walks once around the block, what distance does he
travel?

b. If John walks once around the block, what is his final
displacement?

Respuesta :

Answer:

a. 720 yards

b. 254.56 yards

Explanation:

Given that the square block is 180 yards per side.

a. The distance traveled by John = The perimeter of the square block

  The perimeter of the square block = 4 x Length of one of its sides

So that,

The distance traveled by John = 4L

                                                   = 4 x 180

                                                   = 720 yards

Thus, John travels a distance of 720 yards.

b. John's final displacement = [tex]\sqrt{x^{2} +y^{2} }[/tex]

where x ad y are the length of any two sides of the square block.

John's final displacement = [tex]\sqrt{180^{2} + 180^{2} }[/tex]

                                           = [tex]\sqrt{64800}[/tex]

                                           = 254.5584

John's final displacement is 254.56 yards.