The velocity vector addition problem discussed involves calculating the angle at which a boat must travel to reach a point across a river while accounting for the river's current. The correct answer is an angle of 53.13 degrees downstream, derived from the vector sum of the boat's velocity relative to the river and the river's velocity relative to the banks. The geometry of the situation indicates that the river is 600 meters wide and 300 meters along the bank, leading to the calculation of the angle using the tangent function, where tan(α) = 1/2. The discussion emphasizes the importance of using vector addition correctly and understanding the reference frames involved.
PREREQUISITESThis discussion is beneficial for physics students, educators, and anyone interested in mastering vector addition and understanding motion in fluid environments.
Let's see your calculations.evo13 said:
PeroK said:
That gives you the direction relative to the bank. The question wants the direction relative to the water, which means you have to do vector addition.evo13 said:
Neither. Your fundamental problem is that ##c## is from the river's frame of reference and ##a## is from the banks frame of reference. You are mixing vectors from two reference frames in one diagram.evo13 said:
You do understand the question. You're trying a clever shorcut that doesn't work!evo13 said: