Question

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?

Answer 1

a. 720 yards

b. 254.56 yards

Step-by-step 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 =
`\sqrt{x^(2) +y^(2) }`

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

John's final displacement =
`\sqrt{180^(2) + 180^(2) }`

=
`√(64800)`

= 254.5584

John's final displacement is 254.56 yards.