. You move at 3 m/s north, then at 5 m/s directly west.

Explanation:

The question is incomplete. Here is the complete question.

You move at 3 m/s north, then at 5 m/s directly west. Find your displacement.

The displacement is the distance moved in a specified direction. If you first move 3m/s due to north, this means you moved in the positive y direction hence we can say that y = 3m/s. Then if you move 5m/s directly due west this means you moved in the negative x direction hence we can say that x = -5m/s. The displacement will be gotten using the pythagoras theorem as shown.

D² = x²+y²

D² = (-5)²+3²

D² = 25+9

D = √34 m/s

Hence your displacement is √34 m/s and the total distance covered is 3m/s + 5m/s = 8m/s

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