# 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?

1. 👍 0
2. 👎 0
3. 👁 724
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. 👍 0
2. 👎 0
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. 👍 0
2. 👎 0

## 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. ### swim

A swimmer is capable of swimming 1.00 m/s in still water. If she aims her body directly across a 150-m-wide river whose current is 0.80 m/s, how far downstream (from a point opposite her starting point) will she land?

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

A swimmer can swim in still water at a speed of 9.31 m/s. He intends to swim directly across a river that has a downstream current of 4.35 m/s. a) How many degrees from straight across the river should he head? Let upstream be a

1. ### physics

A swimmer is capable of swimming at 1.4m/s in still water. Calculate the following. i. How far downstream will he land if he swims directly across 180m wide river? ii. How long will it take him to the other side.

2. ### physics

A swimmer swims in still water at a speed of 6.83 m/s. He intends to swim directly across a river that has a downstream current of 2.89 m/s. (a) What must the swimmer's direction be?

3. ### Physics

A river has a current of 4 m/s south with respect to the shore. A swimmer is swimming in the river (which is redundant). a. If the swimmer is swimming 2 m/s north with respect to the water, what is his velocity relative to the

4. ### Physics (again, sorry)

A swimmer maintains a speed of 0.15 m/s relative to the water when swimming directly toward the opposite shore of a straight river with a current that flows at 0.75 m/s. (a) How far downstream is the swimmer carried in 1.5

1. ### 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,

2. ### physics

A swimmer is capable of swimming 0.45 m/s in still water. (a) If she aims her body directly across a 75 m-wide river whose current is 0.30 m/s, how far downstream (from a point opposite her starting point) will she land? (b) How

3. ### physics

A swimmer sets off from one bank. The velocity of the swimmer relative to the water is 1.2 m / s at 45° to the river banks, as shown in Fig. 1.1. In the space below, draw a scale diagram to determine the resultant velocity of the

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