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Neen87
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Homework Statement
Suppose the river is moving east at 5 km/h and the boat is traveling 45 degrees south of east with respect to earth. Find (a) the speed of the boat with respect to Earth and (b) the speed of the boat with respect to the river if the boat's heading in the water is 60 degrees south of east. You will have to solve 2 equations and two unknowns.
ANSWERS: (a) 16.7 km/h (b) 13.7 km/h
Homework Equations
VBR = VBE - VRE
V0x = V0 cos theta0
V0y = V0 sin theta0
The Attempt at a Solution
The problem preceding this one has the boat traveling at 10 km/h relative to the river. I am assuming here that the boat is still traveling at this speed, since none other is given.
VBR: x component = 10 cos theta; y component = -10 sin theta
VBE: x component = v0 cos (45); y component = v0 sin (-45)
VRE: x component = 5 km/h; y component = 0
This question was asked on a thread several years ago; however, the solution was incorrect. Any help would be appreciated! Thank you :)