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# h1_6a - Chapter 1 Mathematical Prelude cbPhysicsIa18...

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Problem 2) Vector Addition Suppose that you are swimming in a river while a friend watches from the shore. In calm water, you swim at a speed of 1.25 m/s . The river has a current that runs at a speed of 1.00 m/s. Note that speed is the magnitude of the velocity vector. The velocity vector tells you both how fast something is moving and in which direction it is moving. Part A) If you are swimming upstream (i.e., against the current), at what speed does your friend on the shore see you moving? Since your vector is the opposite direction as the current, you simply subtract the magnitudes of the vectors: v total = v you − v stream v total = 0.25 m / s Part B) If instead of swimming against the current you swam directly across the river (by your reckoning) at a speed of 1.00 m/s from left to right, which figure correctly shows the velocity vector with which your

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