# A boat is at a point 120km West and 60km South of its destination. It sails in water which has a current of 20km/h North. In order to arrive at the destination, the captain decides to head the boat due

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### Physics

A boat is at a point 120km West and 60km South of its destination. It sails in water which has a current of 20km/h North. In order to arrive at the destination, the captain decides to head the boat due east at 50km/h until he reaches a point due South of the destination. He ...

### Physics

A boat is at a point 120km West and 60km South of its destination. It sails in water which has a current of 20km/h North. In order to arrive at the destination, the captain decides to head the boat due East at 50km/h until he reaches a point due South of the destination. He ...

### Trig

A sail boat on lake Huron leaves Southampton and sails 20degrees west of north of 20km. At the same time, a fishing boat leaves Southampton and sails 30degrees west of south for 15 km. At this point, hot far apart are the boats, to the nearest metre? ( the answer is 4139m, but...

### Sine, cosine law

A sail boat on lake Huron leaves Southampton and sails 20degrees west of north of 20km. At the same time, a fishing boat leaves Southampton and sails 30degrees west of south for 15 km. At this point, hot far apart are the boats, to the nearest km? ( the answer is 4139 km, but ...

### Physics

A boat is to be driven from a point on the South bank of a river which flows West-to-East to a destination on the North Bank. The destination is in a direction of N60E from the starting point. The river is 0.2 km wide. The driver of the boat finds that in order to make the ...

### Physics

A current of a river flows steadily from west to east at 1.00 m/s. A boat in the river travels at 3.00 m/s relative to the water. The river is 20.0 m wide with parallel banks. The boat leaves the shore at point A, and point B is directly across the river from that point. 1) At...

### Physics

A man which travel due north in other to cross a river 5km wide flowing due east at 3km/h. If he can roll at 10km/h in still water. Find either by scale drawing or by calculation (1) the direction in which he must head is boat in order to get to his destination (2) the ...

### math

a boat sails north for 3km, then sails 1,5km west. how far is the boat from its starting position? correct to two decimal

### Physics

You have a boat that is capable of moving at 10.4 m/s through still water. You wish to cross a river that flows due west at 2.8 m/s. At what numerical compass heading must you pilot your boat so that you will reach a destination that is due south of your current position?

### Physics

You have a boat that is capable of moving at 14.5 m/s through still water. You wish to cross a river that flows due north at 5.3 m/s. At what numerical compass heading must you pilot your boat so that you will reach a destination that is due west of your current position?

### college physics

A cruise ship of seniors is moving due west with an engine speed of 60km/hr when it encounters a current from the North at 20Km/hr. What is its relative velocity due to this current? (speed and angle) What course correction does it need to continue due west? (new angle and ...

### Math

A boat sails 40km from point A to point B, east of A on a lake. Lodge P is south of point A. Another lodge Q is south of point B. The bearing of Q from point A is S52degresE and the bearing of P from B is S39degresW. If P is 60km from Q, calculate the bearing of lodge Q from ...

### physics

A boat must head due north across a river channel that has a current of 9 km/hr towards the west. The boat is capable of traveling at 28 km/hr in still water. If the boat heads into the current to keep its true north course, what will be the resultant velocity of the boat? I'm...

### physics

A 400.0-m-wide river flows from west to east at 30.0 m/min. Your boat moves at 100.0 m/min relative to the water no matter which direction you point it. To cross this river, you start from a dock at point A on the south bank. There is a boat landing directly opposite at point ...

### Physics

A 400.0-m-wide river flows from west to east at 30.0 m/min. Your boat moves at 100.0 m/min relative to the water no matter which direction you point it. To cross this river, you start from a dock at point A on the south bank. There is a boat landing directly opposite at point ...

### math

A ferry boat operator is required to drive directly to the opposite side of the river (starting at south side of river is A and the north side of river is B where boat will end up) but does not know where to point the nose of the boat. The river is flowing due West at 4 mph ...

### Physics

An jet flies between two points on the ground that are 500 km apart with an airspeed of 200 m/s. The destination is directly north of the point of origin of the flight.. If a constant wind blows at 10 m/s toward the west during the flight, what direction must the plane fly ...

### 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 a current of 1.63 m/s due East. Shore’s ...

### calculus

QUESTION 3 A boat sails 30 miles to the east from a point P, then it changes direction and sails to the south. If this boat is sailing at a constant speed of 10 miles/hr, at what rate is its distance from the point P increasing a) 2 hours after it leaves the point P b) 7 hours...

### calculus

A boat sails 30 miles to the east from a point P, then it changes direction and sails to the south. If this boat is sailing at a constant speed of 10 miles/hr, at what rate is its distance from the point P increasing a) 2 hours after it leaves the point P b) 7 hours after it ...

### calculus

A boat sails 30 miles to the east from a point P, then it changes direction and sails to the south. If this boat is sailing at a constant speed of 10 miles/hr, at what rate is its distance from the point P increasing a) 2 hours after it leaves the point P b) 7 hours after it ...

### Physics

The captain of a boat wants to travel directly across a river that flows due east with a speed of 1.09 m/s. He starts from the south bank of the river and wants to reach the north bank by travelling straight across the river. The boat has a speed of 6.44 m/s with respect to ...

### Need Help Physics

The captain of a boat wants to travel directly across a river that flows due east with a speed of 1.09 m/s. He starts from the south bank of the river and wants to reach the north bank by travelling straight across the river. The boat has a speed of 6.44 m/s with respect to ...

### math

if a river flows south at 10 km/h and a boat moves north against the current at a rate of 18km/hr, what is the net actual speed of the boat in the water

### Maths

A straight river flows at a speed of 20km/h. A boater starts at the south shore and heads in ths direction of 70degrees from the shore. The boat has a speed of 20km/h in still water. Find the true speed and direction of the boat.

### calc Urgent please

A boat heads 15 degrees west of north with a water speed of 3m/s. Determine its velocity relative to the ground when there is a 2m/s current from 40 degrees east of north. How long does it take to cross the river which is 800 m wide? Where does the boat land on the other side?

### Pre calculus, vectors

A straight river flows at a speed of 20km/h. A boater starts at the south shore and heads in ths direction of 70degrees from the shore. The boat has a speed of 20km/h in still water. Find the true speed and direction of the boat.

### Physics

A river flows from south to north at 5km/hr. On this river a boat is heading east to west perpendicular to the current at 7km/hr. As viewed by an eagle hovering at rest over the shore, how fast and in what direction is the boat travelling?

### Calculus

1)A north south highway, intersects an east west highway, at point P. A vehicle process point P @ 1pm, traveling east at a constant speed of 60km/h. At the same instant another vehiclist 5km north of P, travelling south at 80km/h, find the time, when the 2 vehicles are closest...

### Physics

The speed of the boat on still water is 100km/h. The water flows from the west at a speed of 45km/h. In which direction must the sailor steer the boat in order to fly due to north? *What I don't understand is 'which way(direction) is the boat travelling?' Thanks in advance.

### physics

A 200-m-wide river flows due east at a uniform speed of 4.9 m/s. A boat with a speed of 9.0 m/s relative to the water leaves the south bank pointed in a direction 33o west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the ground? Give...

### Physics

A 130-m-wide river flows due east at a uniform speed of 4.1m/s. A boat with a speed of 6.6m/s relative to the water leaves the south bank pointed in a direction 29o west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the ground? Give ...

### physics

A man wished to travel due north in order to cross river 5kilometer wide flowing due east at 2kilometer per hour. If he can roll at 9kilometer per hour in still water, find 1. The direction in which he must head his boat in order to get to his destination directly opposite to ...

### Physics

A boat is moving 24.4m/s, 35 degrees North of East against the 10m/s water current that flows towards south. What would be the speed of the boat as it crosses the river

### Physics (angle Vector)

You have a boat that is capable of moving at 11.8 m/s through still water. You wish to cross a river that flows due south at 5.4 m/s. At what numerical compass heading must you pilot your boat so that you will reach a destination that is due east of your current position?

### physics

A viking sails from his home port and travels east at 15km/hr.after 10 hours, the wind change and he is blown south west at 20km/hr for six hours.at his point wind drops, the ship is becalmed and doesnot move for the next ten hours.becoming tired of waiting,the viking order ...

### physics

the number on the left is the displacement, on the right is the vector. The person travelling i order of the numbers ....not sure how to explain this because there are no instructions only a shart with the titles of the categories Steps, Displacement, Vector. I'm supposed to ...

### physics

A boat sails 251 km to the East and then 534 km to the North. What is the distance of the boat from its starting point?

### math

A boat needs to travel south at a speed of 20 km/h. However a constant current of 6 km/h is flowing from the south-east. Use vectors to find: a.the equivalent speed in still water for the boat to achieve the actual speed of 20 km/h. b the direction in which the boat must head ...

### Please Please Help-Physics

I am having trouble figuring out this question: Part 1: A long staight wire carries a current due East. This wire creates, at point #1, a magnetic field that is derected at 40 deg below due South. From point #1, the wire is located: 50 deg below due North 50 deg below due ...

### Calculus AB

A hiker walks due east for 40 minutes, then changes course by going South 25 degrees West. After 20 minutes, he changes course again, this time at South 75 degrees East. He goes through this path for one hour after which he heads north reaching his final destination in 15 ...

### plysics

a yacht sails 50km north and then another 20km at an unknown angle .Using GPS£¬the skipper finds that bearing from their starting point is N20¡ãW. (1) What was the direction of the yacht for the 20km of itd journey? (2) In what direction and how far must the skipper sail ...

### physics

As a sailboat sails 51.5 m due north, a breeze exerts a constant force 1 on the boat's sails. This force is directed at an angle west of due north. A force 2 of the same magnitude directed due north would do the same amount of work on the sailboat over a distance of just 41.5 ...

### Physics

A boat is to be used to cross a river of width w that is flowing with a speed v. The boat travels with a constant speed 2v relative to water. At what angle should the boat be directed in order to arrive at a point directly across from its starting point? (draw a diagram ...

### Phys 2

I am having trouble figuring out this question: Part 1: A long staight wire carries a current due East. This wire creates, at point #1, a magnetic field that is derected at 40 deg below due South. From point #1, the wire is located: 50 deg below due North 50 deg below due ...

### Physics

I am having trouble figuring out this question: Part 1: A long staight wire carries a current due East. This wire creates, at point #1, a magnetic field that is derected at 40 deg below due South. From point #1, the wire is located: 50 deg below due North 50 deg below due ...

### physics

1. A ship has a top speed of 3.0 m/s in calm water. The current of the ocean tends to push the boat at 2.0 m/s on a bearing of due South. What will be the net velocity of the ship if the captain points his ship on a bearing of 55 North or West and applies full power?

### PHYSICS

A long-straight wire carries a current and is aligned with the North-South direction. You place a compass 4 cm directly above the wire and above the North/East/South/West plane. The compass needle, which initially pointed North (far away from the wire) is now deflected by 20o ...

### Trig

Suppose you would like to cross a 200-foot wide river in a boat. Assume that the boat can travel 35 mph relative to the water and that the current is flowing west at the rate of 5 mph. What bearing should be chosen so that the boat will land at a point exactly across from its ...

### math

two boats leave at the same time. one sails south and for a distance of 20 miles and finds itself 25 miles from the other boat which has sailed west how far has the other boat traveled?

### Vectors

A sail boat is acted upon a water by a current and the wind. The velocity of the wind is 16km/h from the west, and the veolocity of the current is 12km/h from thr south, find the resultant of these 2 velocitie

### physics

A person desires to reach a point that is 1.70 km from her present location and in a direction that is 40.0° north of east. However, she must travel along streets that are oriented either north-south or east-west. What is the minimum distance she could travel to reach her ...

### Physics

A person desires to reach a point that is 2.80 km from her present location and in a direction that is 35.0° north of east. However, she must travel along streets that are oriented either north-south or east-west. What is the minimum distance she could travel to reach her ...

### physics

a car moves 20km towards north then 35km angle of 60 degree west of north.Determine the magnitude of displacement from initial point.

### Physics

Maya follows a maze by going: 3 m north, 2 m west, 1 m south, 1 m west, 2 m north, 6 m east, and 2 m north. What is her final displacement in a north/south direction.

### Physics 201

A person desires to reach a point that is 2.87 km from her present location and in a direction that is 47.5° north of east. However, she must travel along streets that are oriented either north-south or east-west. What is the minimum distance she could travel to reach her ...

### Physics

A boat must cross a 260-m-wide river and arrive at a point 110 upstream from where it starts. To do so, the pilot must head the boat at a 45 degree upstream angle. THe current has speed 2.3 m/s. a) What is the speed of the boat in still water? b) How much time does the journey...

### physics

A 200-m-wide river flows due east at a uniform speed of 2.0 m/s. A boat with a speed of 8.0 m/s relative to the water leaves the south bank pointed in a direction west of north. What are the (a) magnitude and (b) direction of the boat’s velocity relative to the ground? (c) ...

### science

A 200-m-wide river flows due east at a uniform speed of 2.0 m/s. A boat with a speed of 8.0 m/s relative to the water leaves the south bank pointed in a direction west of north. What are the (a) magnitude and (b) direction of the boat’s velocity relative to the ground? (c) ...

### Calculus

at 12 noon ship A is 65 km due north of a second ship B. Ship A sails south at a rate of 14km/hr, and ship B sails west at a rate of 16km/hr. How fast are the two ships approaching each other 1.5 hours later at 1:30pm? Thank You!

### math

at 12 noon ship A is 65 km due north of a second ship B. Ship A sails south at a rate of 14km/hr, and ship B sails west at a rate of 16km/hr. How fast are the two ships approaching each other 1.5 hours later at 1:30pm?

### physics

A 410-m-wide river has a uniform flow speed of 2.0 m/s through a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that moves at a constant speed of 7.9 m/s with respect to the water. There is a ...

### physics

The accelerating force of the wind on a small 200-kg sailboat is 707 N north. If the drag of the keel is 500 N acting west, what is the acceleration of the boat? A) 1.5 m/s2 35 degrees north of east B) 2.5 m/s2 55 degrees north of west C) 3.0 m/s2 35 degrees north of east D) 4...

### Physics

a boat sails 150km N60°E, then 100km West. What is it's displacement from its starting point?

### physics

A motorboat travels due north at a steady speed of 3.0 m/s through calm water in which there is no current. The boat then enters an area of water in which a steady current flows at 2.0 m/s in a southwest direction, as shown in the next picture. Both the engine power and the ...

### Physics

Vectors and Scalars Graph 1. determine the total distance traveled and the displacement made. A. 5.0 km 15 degrees east of north B. 5.0 km 20 degrees east of south C. 5.0 km east D. 5.0 km 30 degrees south of west E. 5.0 km 20 degrees east of south F. 5.0 km 40 degrees north ...

### Math

A man sails with his boat starting (x) kilometer away from the main station due north. After 3 km of sailing, he follows an arc path. When he is somewhere in between North and the West Point at P(4,yp), the engine suddenly stops. With the help of his navigational tool, he ...

### Trig

Suppose you would like to cross a 209-foot wide river in a boat. Assume that the boat can travel 32 mph relative to the water and that the current is flowing west at the rate of 6 mph. If the bearing chosen is chosen so that the boat will land at a point exactly across from ...

### trigo

Because of the wind, a boat sails 4,728 meters in the direction S 47deg29mins W. How far south it goes? How far west has it gone?

### physics

Two racing boats set out from the same dock and speed away at the same constant speed of 102 km/h for half an hour (0.500 h), the blue boat headed 26.1° south of west, and the green boat headed 38.8° south of west. During this half-hour (a) how much farther west does the ...

### physics

Two racing boats set out from the same dock and speed away at the same constant speed of 120 km/h for half an hour (0.500 h), the blue boat headed 23.7° south of west, and the green boat headed 34.4° south of west. During this half-hour (a) how much farther west does the ...

### physics

Two racing boats set out from the same dock and speed away at the same constant speed of 94.0 km/h for half an hour (0.500 h), the blue boat headed 26.0° south of west, and the green boat headed 38.2° south of west. During this half-hour (a) how much farther west does the ...

### Physics

A motorboat is headed [W35ºN] with its engine set to move the boat at 25 km/h in still water. The current is flowing at 18 km/h [S]. What is the velocity of the boat relative to the shore? My work: cos(35º)=x/25 25cos35=x x=20km/h I have an issue with finding the direction. ...

### physics

Two racing boats set out from the same dock and speed away at the same constant speed of 119 km/h for half an hour (0.500 h), the blue boat headed 26.8° south of west, and the green boat headed 41.4° south of west. During this half-hour (a) how much farther west does the ...

### history

which statement best describes the location of south west Asia A( north of Australia, west of Europe B( west of Indian ocean, east of the Mediterranean sea C( south of artic circle, north of Antarctica D( east of Americas, west of Asia

### Social studies

which statement best describes the location of south west Asia A( north of Australia, west of Europe B( west of Indian ocean, east of the Mediterranean sea C( south of artic circle, north of Antarctica D( east of Americas, west of Asia

### physics

suppose a car is driven from town A to town B from town B to town C and from town C to town D which have equal distances at average speeds 20km/hr,60km/hr and 120km/hr respectively,what is the average speed for the whole journey

### statistics

suppose a car is driven from town A to town B from town B to town C and from town C to town D which have equal distances at average speeds 20km/hr,60km/hr and 120km/hr respectively,what is the average speed for the whole journey

### Math (Calculus)

At 2:00 pm boat K is 25 km north of boat L. If boat K is sailing 5 km/h west and boat L is sailing north at 20 km/h, what is the rate at which the distance between the two boats in changing at 2:30?

### physics

A boat sails 5.0(45 degrees W of N). It then hanges direction and sails 7.0km(45 degrees S of E) where does the boat end up with reference to its starting point.? Please explain steps answer is 2km(45 degrees S of E)

### physics

A 316-kg boat is sailing 12.0° north of east at a speed of 1.60 m/s. 39.0 s later, it is sailing 36.0° north of east at a speed of 4.00 m/s. During this time, three forces act on the boat: a 31.4-N force directed 12.0° north of east (due to an auxiliary engine), a 20.7-N ...

### Physics

Kyle wishes to fly to a point 450 km due south in 3 hours. A wind is blowing from the west at 50 km/hr. Compute the proper heading and speed that Kyle must choose in order to reach his destination on time.

### Physics

A 325-kg boat is sailing 15.0° north of east at a speed of 2.00 m/s. Thirty seconds later, it is sailing 35.0° north of east at a speed of 4.00 m/s. During this time, three forces act on the boat: a 31.0-N force directed 15.0° north of east (due to an auxiliary engine), a ...

### Physics

A 325-kg boat is sailing 15.0° north of east at a speed of 2.00 m/s. Thirty seconds later, it is sailing 35.0° north of east at a speed of 4.00 m/s. During this time, three forces act on the boat: a 31.0-N force directed 15.0° north of east (due to an auxiliary engine), a ...

### Physics

A 358-kg boat is sailing 15.9° north of east at a speed of 1.80 m/s. Thirty seconds later, it is sailing 36.6° north of east at a speed of 3.68 m/s. During this time, three forces act on the boat: a 29.7-N force directed 15.9° north of east (due to an auxiliary engine), a ...

### physics

A 358-kg boat is sailing 15.9° north of east at a speed of 1.80 m/s. Thirty seconds later, it is sailing 36.6° north of east at a speed of 3.68 m/s. During this time, three forces act on the boat: a 29.7-N force directed 15.9° north of east (due to an auxiliary engine), a ...

### Physics

A 343-kg boat is sailing 16.2° north of east at a speed of 1.98 m/s. Thirty seconds later, it is sailing 37.5° north of east at a speed of 3.76 m/s. During this time, three forces act on the boat: a 30.3-N force directed 16.2° north of east (due to an auxiliary engine), a ...

### 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 9.2 m/s due north relative to the water. (a) What is the velocity of the boat as viewed by an observer on the shore? m/s at ° east of ...

### TRIGONOMETRY

Because of the wind, a boat sails 4,728 meters in the direction S 47deg29mins W. How far south it goes? How far west has it gone? this is my report..please help me..i tried so hard but i really didn't get it..thanks!

### Physics

A 343-kg boat is sailing 16.2° north of east at a speed of 1.98 m/s. Thirty seconds later, it is sailing 37.5° north of east at a speed of 3.76 m/s. During this time, three forces act on the boat: a 30.3-N force directed 16.2° north of east (due to an auxiliary engine), a ...

### Physics

You fly 32.0 km in a straight line in still air in the direction 35.0 degree south of west. Find the distance you would have to fly straight south and then straight west to arrive at the same point.

### science

Danny sails a boat downstream. The wind pushes the boat along at 21 km/hr. The current runs downstream at 15 km/hr. What is the actual velocity of the boat

### math

Because of the wind, a boat sails 4 728 meters in the directions S 47 degrees 29 minutes W. How far south has it gone? How far west has it gone?

### physic

Hi!Question: A river flows due east at 1.70m/s.A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 8.0m/s due north relative to the water. A.What is the velocity of the boat relative to shore?___m/s and ___degree(north of east...

### science

A ship sailed 15 km north, then 20km east followed by 10km south. Find its displacement from its starting point

### physics

A river flows due east at 1.91m/s.A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.3m/s due north relative to the water. A.What is the velocity of the boat relative to shore? How far downstream has the boat moved by the ...

### science

an areroplane flies to the destination 600km west of its starting point. A wind is blowing from the North-west at 75 m/s. The pilot wants to complete the flight in 55 minutes. Calculate the direction to be taken by the pilot.

### Pre calc

A boat is going 30 mph. It's direction is 100 degrees east of north. The water current is 15 mph and has a direction of 22 degrees east of north. Find the magnitude, and direction of boat.( with water current)

### Math

A boat, whose speed in still water is 2.80m/s , must cross a 280m wide river and arrive at a point 120m upstream from where it starts. To do so, the pilot must head the boat at a 45.0 degrees upstream angle. What is the speed of the river's current?