A boat is traveling where there is a current of 0.20 m/s east. To avoid some offshore rocks, the boat must clear a buoy that is NNE (22.5) ∘ and 2.4 km away. The boat's speed through still water is 2.2 m/s . If the boat wants to pass the buoy 0.19 km on its right, at what angle relative north should the boat head?

A boat is traveling where there is a current of 0.20 m/s east. To avoid some offshore rocks, the boat must clear a buoy that is NNE (22.5) ∘ and 2.4 km away. The boat's speed through still water is 2.2 m/s . If the boat wants to pass the buoy 0.19 km on its right, at what angle relative north should the boat head?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter4: Motion In Two And Three Dimensions

Section: Chapter Questions

Problem 76P: A small plane flies at 200 km/h in still air. If the wind blows directly out of the west at 50 km/h,...

See similar textbooks

Similar questions

A pilot wants to fly due north, but finds that he must direct his plane 19.0° to the east to accomplish this. If the plane's air speed is 200 km/h, and the wind is from the east, what is the wind speed in km/h?
Jojo is riding a boat to travel across a river whose current has velocity of 1.20 m/s westward. If the speed of the boat is 1.85 m/s, at what angle should the boat head so that it travels northward directly across the river?
A boat crosses a river of width 225 m in whichthe current has a uniform speed of 1.35 m/s.The pilot maintains a bearing (i.e., the direction in which the boat points) perpendicularto the river and a throttle setting to give aconstant speed of 2.92 m/s relative to the water.What is the magnitude of the speed of theboat relative to a stationary shore observer?Answer in units of m/s. How far downstream from the initial positionis the boat when it reaches the opposite shore?Answer in units of m
Three cars, A,B, and C, are moving along a straight section of highway. If the velocity of A relative to B is +60m/s and the velocity of A relative to C is +20m/s, then what is the velocity of C relative to B?
Hockey player A carries the puck on his stick and moves in the direction shown with a speed vA = 3.0 m/s. In passing the puck to his stationary teammate B, by what angle α should the direction of his shot trail the line of sight if he launches the puck with a speed of 6.6 m/s relative to himself?
A boat travels on a heading of 335o at a constant speed of 28 km/h relative to the water. If the current is 18 km/h with a heading of 60o , what is the velocity of the ship and its bearing?
The operator of a boat wishes to cross a 5-km wide river that is flowing to the east at 10 m/s. He wants to reach the exact point on the opposite shore 15 min after starting. With what speed and in what direction should the boat travel?
A ship sets sail from Rotterdam, The Netherlands, intending to head due north at 7.5 m/s relative to the water. However, the local ocean current is 1.50 m/s in a direction 40.0º north of east and changes the ship's intended motion. In what direction would the ship have to travel in order to have a resulant velocity straight north relative to the earth, assuming the speed relative to the water reamins 7.5 m/s? Specicify the angle west of north, relative to earth? And what would the ship's speed be relative to the Earth, in meters per second
A boat is moving atv12kph is crossing a river 500 m wide in which a current is flowing at 4 kph. What must be its direction west of north for it to reach a point on the other side of the river from its starting point? What is the value of the velocity of the boat relative to the water?
A small plane flies at 200 km/h in still air. If the wind blows directly out of the west at 50 km/h, (a) in what direction must the pilot head her plane to move directly north across land and (b) how long does it take her to reach a point 300 km directly north of her starting point?
An athlete crosses a 29 m wide river by swimming perpendicular to the water current at a speed of 1.1 m/s relative to the water. He reaches the opposite side at a distance 35m downstream from his starting point. How fast is the water in the river flowing with respect to the ground in m/s?
A jetliner with an airspeed of 1000 km/hr sets out on a 1500 km flight due south. To maintain a southward direction, however, the plane must be pointed fifteen degrees west of south. If the flight takes 100 min, what is the wind velocity?