You are attempting to row across a stream in your rowboat. Your paddling speed relative to still water is 3.0 m/s (i.e., if you were to paddle in water without a current, you would move with a speed of 3.0 m/s ). You head off by rowing directly north, across the stream.
Assume that the stream flows east at 4.0 m/s, determine how far downstream of your starting point you will finally reach the opposite shore if the stream is 6.0 meters wide.

Respuesta :

  • The relative velocity of the boat with respect to the ground [tex]\left ( \vec{v_{bg} } \right )[/tex] is equal to the sum of the relative velocity of the boat with respect to the water[tex]\left ( \vec{v}_{still}=\left ( 3.0 \ m/s \right )\hat{j} \right )[/tex] T
  • The relative velocity of the water with respect to the ground [tex]\left ( \vec{V_{wg}} \right )[/tex].
  • The figure given below represents the velocity vector of the boat in still water pointing towards the north and the addition of the vectors of the velocity of the boat in still water and the velocity of the water with respect to the ground:

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