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A mouse is dropped in the maze define his way out he walks 15 m makes a 90° left turn walks 8 m makes another 90° left turn and walks 10 m what is the magnitude of the resultant vector? Then what is the direction of the resultant vector?

Answer :

Here is a sketch of the situation.

The distance covered by the mouse is the red line and its magnitude is

[tex]\sqrt[]{8^2+5^2}=\sqrt[]{89}\approx9.43[/tex]

The direction if the red line is

[tex]\theta=\tan ^{-1}(\frac{8m}{5m})[/tex][tex]\theta=57.995^o[/tex]

This angle is directed to the left.

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