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?
m/s

(b) What is the swimmer's speed relative to the shore?
m/s

(c) In what direction should the swimmer head so as to arrive at the point directly opposite her starting point?
° upstream from straight ahead

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. tan A = 50m/79m = 0.63291
    A = 32.3o East of North = 57.7o CCW.

    b. Vs = 1.9m/sin57.7 = 2.25 m.[57.7o] = Velocity of swimmer.

    Vc = 2.25m/s[57.7o] - 1.9[90o]

    X = 2.25*cos57.7 - 1.9*cos90=1.20 m/s.
    Y=2.25*sin57.7 - 1.9*sin90 = 0 m/s.

    b. Vc = 1.20 + i0 = 1.20 m/s =Velocity of the current.

    c. 32.3oWest of North.

    Vc = X/cosB = 1.20/cos0.0878=13.67m/s.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. A man can swim directly across a stream of width 300 m in 4 minutes, when there is no current and in 5 minutes when there is current. Find velocity of the current.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    You want to swim straight across a river that is 76m wide. You find that you can do this if you swim 28 degrees upstream at a constant rate of 1.7m/s relative to water. At what rate does the river flow? The angle is measure from

  2. Physics

    A swimmer, capable of swimming at a speed of 1.44 m/s in still water (i.e., the swimmer can swim with a speed of 1.44 m/s relative to the water), starts to swim directly across a 2.21-km-wide river. However, the current is 0.840

  3. Physics

    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

  4. physic

    a swimmer is capable of swimming at 1.4ms in still water how far downstream will he land if he sweams directy across a 180M wide river

  1. physics

    A swimmer is capable of swimming 0.95 m/s in still water. (a) If she aims her body directly across a 150-m-wide river whose current is 0.65 m/s, how far downstream (from a point opposite her starting point) will she land?

  2. Vectors

    a river is 2 km wide and flows at 4km/h. a motorboat has a speed of 10 km/h in still water and heads out from one bank. a marina is directly across the river, on the opposite bank. if the motorboat heads directly toward the

  3. physics 11

    A swimmer swims perpendicular to the bank of a 20.0 m wide river at a velocity of 1.3 m/s. Suppose the river has a current of 2.7 m/s [W]. (a) How long does it take the swimmer to reach the other shore? (b) How far downstream does

  4. Calculus

    A swimmer wishes to swim directly across a river that has a current of 2.5m/s. He can swim 3.5m/s in a pool. Include a diagram. a. Calculate the heading that the swimmer must use in order to swim directly across a river relative

  1. 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?

  2. English

    1. I like swimming in the river. 2. I like to swim in the river. ------------------------------ Are both the same in meaning? 3. I like swimming in the river. 4. I like to swim in the river now. (#3 means 'generally I like

  3. Physics

    At what upstream angle must the swimmer aim, if she is to arrive at a point directly across the stream of a 42-m-wide river whose current is 0.50 m/s? A swimmer is capable of swimming 0.62m/s in still water.

  4. physics

    If you have swam one lap in a swimming pool, that means you have swam from one end to the other and back. In 2.5 h, a swimmer makes exactly 29 laps in a swimming pool that is 23 m long. Determine the distance the swimmer traveled,

View more similar questions or ask a new question.