Question #15337

I go 6 blocks north, 3 blocks east, 2 blocks south, 4 blocks west, and finally, another 4 blocks south. What distance have I traveled? What is my total displacement?

Expert's answer

Distance D = 6 + 3 + 2 + 4 + 4 = 19 blocks.

Assuming north and east

directions as positive, getting:

N = 6 - 2 - 4 = 0

E = 3 - 4 = -1

So,

the total displacement L = sqrt( N^2 + E^2 ) = sqrt(0 + 1) = 1 block.

Assuming north and east

directions as positive, getting:

N = 6 - 2 - 4 = 0

E = 3 - 4 = -1

So,

the total displacement L = sqrt( N^2 + E^2 ) = sqrt(0 + 1) = 1 block.

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