# Physics

posted by .

A rowboat crosses a river with a velocity of 3.30 mi/h at an angle 62.5° north of west relative to the water. The river is 0.795 mi wide and carries an eastward current of 1.25 mi/h. How far upstream is the boat when it reaches the opposite shore?

• Physics -

Velocity component North (across river)
= 3.3 sin 62.5 = 2.93 mi/h
time to cross = .795/2.93 = .272 hr

Velocity component west (upriver)
= 3.3 cos 62.5 - 1.25
= .274 mi /hr

distance upstream = .274*.272 = .0744 mi
*5280 ft.mi = 393 feet

## Similar Questions

1. ### Physics-Mechaincs

A rowboat crosses a river with a velocity of 1.01 m/s at an angle 30◦ North of West relative to the water. Water’s frame of reference: speed of boat: 1.01 m/s direction from current: 30◦ The river is 322mwide and carries …
2. ### Physics

A rowboat crosses a river with a velocity of 3.42 mi/h at an angle 62.5° north of west relative to the water. The river is 0.805 mi wide and carries an eastward current of 1.25 mi/h. How far upstream is the boat when it reaches the …
3. ### physic

A rowboat crosses a river with a velocity of 3.42 mi/h at an angle 62.5° north of west relative to the water. The river is 0.610 mi wide and carries an eastward current of 1.25 mi/h. How far upstream is the boat when it reaches the …
4. ### physics

A rowboat crosses a river with a velocity of 4.23 mi/h at an angle 62.5o north of west relative to the water. The river is 0.543 mi wide and carries an eastward current of 0.73 mi/h. How far upstream is the boat when it reaches the …
5. ### physics

A rowboat crosses a river with a velocity of 3.55 mi/h at an angle 62.5o north of west relative to the water. The river is 0.850 mi wide and carries an eastward current of 0.57 mi/h. How far upstream is the boat when it reaches the …
6. ### Physics

A river flows due east at 1.42 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 11.9 m/s due north relative to the water. If the river is 389 m wide, how far downstream is …
7. ### biomechanics

a sailboarder is zipping northeast across the river wit ha velocity of 10 m/s relative to the water the river current is moving the water north at a velocity of 3 m/s downstream. if the angle between the relative velocity of the sailboard …
8. ### physics

a river flows due east at 1.50 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10m/s due north relative to the water. (a) what is the velocity of the boat relative to the …
9. ### Physics

A rowboat crosses a river with a velocity of 3.37 mi/h at an angle 62.5° north of west relative to the water. The river is 0.590 mi wide and carries an eastward current of 1.25 mi/h. How far upstream is the boat when it reaches the …
10. ### Physics

A rowboat crosses a river with a velocity of 3.37 mi/h at an angle 62.5° north of west relative to the water. The river is 0.590 mi wide and carries an eastward current of 1.25 mi/h. How far upstream is the boat when it reaches the …

More Similar Questions