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Edward and his family are sightseeing. They walk two blocks north, four blocks west, and two blocks south. All together, they've walked ______ blocks and have a total displacement (magnitude only) of four blocks

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lexdanielle16
6 blocks
i hope that this helped

consider east-west direction along x-axis and north-south direction along Y-axis

A = displacement in north direction = 2 j

B = displacement in west direction = - 4 i

C = displacement in south direction = - 2 j

total distance travelled is given as

Distance = |A| + |B| + |C| = 2 + 4 + 2 = 8 blocks

displacement is given as

displacement = A + B + C

displacement = 2 j - 4 i - 2 j

displacement = - 4 i

hence the displacement is 4 blocks in west direction.

magnitude of displacement = 4 blocks

they've walked _8 blocks_____ blocks and have a total displacement (magnitude only) of four blocks

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