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A motorboat heads due west at 15 m/s across a river that flows due south at 7.5 m/s. What is the magnitude and direction of the resultant velocity in m/s? Round off answer to 2 decimal places.​

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MathPhys

Answer:

16.77 m/s, 26.57° south of west

Explanation:

The two velocities form a right triangle.  Use Pythagorean theorem to find the magnitude of the resultant velocity.

v² = (-15 m/s)² + (-7.5 m/s)²

v = 16.77 m/s

Use trig to find the angle.

tan θ = ((-7.5 m/s) / (-15 m/s))

θ = 26.57° south of west

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