Swimming question

  • #1

Homework Statement


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.

Homework Equations


no equation needed

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.
 

Answers and Replies

  • #2
gneill
Mentor
20,905
2,856

Homework Statement


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.

Homework Equations


no equation needed

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.
Okay, what might you do to confirm your hypothesis?
 
  • #3
528
33
you can make use of these equations:
##v_b=v_{br}+v_r##
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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