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Homework Help: Swimming question

  1. Feb 13, 2015 #1
    1. The problem statement, all variables and given/known data
    If you were trying to swim across a river with the shortest possible time, would you aim your body slightly upstream, directly across the river, or slightly downstream? Explain.

    2. Relevant equations
    no equation needed

    3. The attempt at a solution
    i feel the answer is downstream because you go with the flow of the water and you aren't fighting against the current like you would in the upstream motion.
  2. jcsd
  3. Feb 13, 2015 #2


    User Avatar

    Staff: Mentor

    Okay, what might you do to confirm your hypothesis?
  4. Feb 13, 2015 #3
    you can make use of these equations:
    if velocity of river is vr along +x direction and vbr is thr velocity of boat with respect to river.
    the component of v_b along y direction comes out to be dependent only on v_br.Try it.
    Now time ##t=w/v_{b_y}## where w is the width of the river.
    so you wil have minimum time when v_by is maximum.
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