Physics

posted by .

A swimmer heads directly across a river, swimming at 1.10 m/s relative to the water. She arrives at a point 60.0 m downstream from the point directly across the river, 80.0 m wide. What is the speed of the river current?
What is the swimmer's speed relative to the shore?
In what direction (as an angle relative to a direct line across the river) should the swimmer aim instead, so that she arrives at the point directly opposite her starting point?

  • Physics -

    (a)
    s=sqrt(80²+60²) = 100 m.

    sinα=60/100=v/1.1.
    v=60•1.1/100 = 0.66 m/s.
    (b)
    sin φ= 0.66/1.1 = 0.06
    φ=arcsin 0.06 = 3.44º

  • Mathematics -

    Elena, i have a little problem with your calculation. I was thinking the velocity of the swimmer should tally with one of the adjacent sides of the triangle and not the hypothenus. the hypothenus should be in line with the resultant velocity of the swimmer.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A swimmer heads directly across a river, swimming at 1.10 m/s relative to the water. She arrives at a point 52.0 m downstream from the point directly across the river, 72.0 m wide. What is the speed of the river current?
  2. physics

    A swimmer heads directly across a river, swimming at 1.72 m/s relative to the water. She arrives at a point 39.0 m downstream from the point directly across the river, which is 72.7 m wide. What is the speed of the river current?
  3. Physics

    A swimmer heads directly across a river, swimming at 1.9 m/s relative to the water. She arrives at a point 50 m downstream from the point directly across the river, which is 79 m wide. (a) What is the speed of the river current?
  4. physics

    A swimmer heads directly across a river, swimming at 1.5 m/s relative to the water. She arrives at a point 30 m downstream from the point directly across the river, which is 87 m wide.
  5. physics

    A swimmer heads directly across a river, swimming at 1.5 m/s relative to the water. She arrives at a point 30 m downstream from the point directly across the river, which is 87 m wide. (c) In what direction should the swimmer head …
  6. physics

    A swimmer heads directly across a river, swimming at 1.2 m/s relative to the water. She arrives at a point 48 m downstream from the point directly across the river, which is 77 m wide. (a) What is the speed of the river current?
  7. Physics Dynamics

    Swimming at 2.00 m/s relative to still water, a swimmer heads directly across a river of width 80 m. He arrives 35 m downstream from the point directly across the river from his starting point. (a) What is the speed of the current …
  8. physics

    A swimmer, capable of swimming at a speed of 1.81 m/s in still water (i.e., the swimmer can swim with a speed of 1.81 m/s relative to the water), starts to swim directly across a 2.29-km-wide river. However, the current is 1.31 m/s, …
  9. physics

    A swimmer, capable of swimming at a speed of 1.18 m/s in still water (i.e., the swimmer can swim with a speed of 1.18 m/s relative to the water), starts to swim directly across a 2.16-km-wide river. However, the current is 1.19 m/s, …
  10. Physics

    Swimming at 3.00 m/s relative to still water, a swimmer heads directly across a river of width 80 m. He arrives 50 m downstream from the point directly across the river from his starting point. (a) What is the speed of the current …

More Similar Questions