# College Physics

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14) Given the following vectors, find the magnitude and direction:
• A = 47 m and the angle is 0°
• B = 62 m and the angle is 35°
This is relative to the x-axis
Magnitude: 401 m 140 m 104 m 0 m 503 m
Direction: 20° 45° 55° 220° 90°

• College Physics -

Mag. = 47m @ 0o + 62m @ 35o.

X = 47 + 62*cos35 = 97.79 m.
Y = 62*sin35 = 35.56 m.

tanA = Y/X = 35.56/97.79 = 0.36365
A = 20o. = Direction.

Mag. = x/cosA = 97.79/cos20 = 104 m.

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