You are in downtown chicago (where streets run n-s and e-w). you started from 600 n. michigan avenue, and walked 3 blocks toward north, 4 blocks toward west, and 1 block toward north to a train station. length of one block is 100 [m]. what is the magnitude and direction of your displacement from the start position?

Displacement is 565.69 m at 45° west of north

Explanation:

Let north represent positive y axis and east represent positive x axis.

We have journey started from 600 N. Michigan Avenue, and walked 3 blocks toward north, 4 blocks toward west, and 1 block toward north to a train station.

3 blocks toward north = 300 j m

4 blocks toward west = -400 i m

1 blocks toward north = 100 j m

Total displacement = -400 i + 400 j m

Magnitude

Direction,

     Direction is 45° west of north.

Displacement is 565.69 m at 45° west of north

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