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powerboats northwest
Physics - Velocity?
A powerboat heads due northwest at 15 m/s relative to the water across a river that flows due north at 5.2 m/s. What is the velocity (both magnitude and direction) of the motorboat relative to the shore?
__________m/s
__________degrees west of north
The resultand velocity is:
sqrt(5.2^2 + 15^2 - 2*5.2*15cos(135))
= 19.04 m/s.
If the angle is x deg. W of N, then:
15 / sin(x) = 19.04 / sin(135)
sin(x) = 15 sin(135) / 19.04
x = 33.9deg. W of N.
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