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The $x$-component of a particle’s velocity is $-8\text{ m/s}$ and its $y$-component is $-6\text{ m/s}$.

What are the magnitude and direction of the velocity (using a standard compass rose for the directions)?

A

$10\text{ m/s}$ at $53^\circ$ south of west.

B

$10\text{ m/s}$ at $37^\circ$ south of west.

C

$14\text{ m/s}$ at $53^\circ$ south of west.

D

$14\text{ m/s}$ at $37^\circ$ south of west.

E

$2\text{ m/s}$ due west.

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