# A boat travels at a speed of 5 m/s in still water. The boat moves directly across a river that is 70m wide. The water in the river flows at a speed of 2 m/s. How long does it take

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### Math: Calculus - Vectors

A boat travels at a speed of 5 m/s in still water. The boat moves directly across a river that is 70m wide. The water in the river flows at a speed of 2 m/s. How long does it take the boat to cross the river? In what direction is the boat headed when it starts the crossing. ...

### Physics

A boat propelled so as to travel with a speed of 0.5m/s in still water, moves directly (in a straight line) across a river that is 60m wide. The river flows with a speed of 0.30m/s. How long in seconds does it take the boat to cross the river?

### physics

A boat propelled so as to travel with a speed of 0.50m/s in still water, moves directly (in a straight line) across a river that is 60m wide. The river flows with a speed of 0.30m/s. How long in seconds does it take the boat to cross the river?

### math

The speed of a powerboat in still water is 35 mi/h. It is traveling on a river that flows directly south at 8 mi/h.the boat heads directly west across the river. What are the resulting speed and direction of the boat?

### Physics

A boat travels at 3.8 m/s and heads straight across a river 240m wide at an angle of 145'. The river flows at 1.6 m/s. a. What is the boat's resultant speed with respect to the river bank? b. How long does ti take the boat to cross the river? c. How far downstream or upstream ...

### Physics

A boat travels at 3.8 m/s and heads straight across a river 240m wide at an angle of 145'. The river flows at 1.6 m/s. a. What is the boat's resultant speed with respect to the river bank? b. How long does ti take the boat to cross the river? c. How far downstream or upstream ...

### Physics

A boat travels at 3.8 m/s and heads straight across a river 240m wide at an angle of 145'. The river flows at 1.6 m/s. a. What is the boat's resultant speed with respect to the river bank? b. How long does ti take the boat to cross the river? c. How far downstream or upstream ...

### Physics - URGENT

A boat travels at 3.8 m/s and heads straight across a river 240m wide at an angle of 145'. The river flows at 1.6 m/s. a. What is the boat's resultant speed with respect to the river bank? b. How long does ti take the boat to cross the river? c. How far downstream or upstream ...

### physics - need help right now.

A boat travels at 3.8 m/s and heads straight across a river 240m wide at an angle of 145'. The river flows at 1.6 m/s. a. What is the boat's resultant speed with respect to the river bank? b. How long does ti take the boat to cross the river? c. How far downstream or upstream ...

### 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 boat crosses a river, which is 60 meters wide in 15 seconds. Upon crossing, the boat, which had headed straight across the river, ended up 20 meters downstream. A). What was the speed of the boat in still water? B). At what speed does the river flow? C). At what angle should...

### math

20. Miguel is driving his motorboat across a river. The speed of the boat in still water is 11 mi/h. The river flows directly south at 2 mi/h. If Miguel heads directly west, what are the boat’s resultant speed and direction?

### geometry

Miguel is driving his motorboat across a river. The speed of the boat in still water is 10 mi/h. The river flows directly south at 3 mi/h. If Miguel heads directly west, what are the boat’s resultant speed and direction? Round answers to the nearest tenth.

### Physics

A river flows at a speed of 4.60 m/s. A boat, capable of moving with a speed of 5.80 m/s in still water is rowed across the river at an angle of 53.0° to the river flow. Calculate the resultant velocity with which the boat moves and the angle that its resultant motion makes ...

### physics

A boat that travels at a speed of 6.75 m/s in still water is to go directly across a river and back, as shown in the figure below. The current flows at 0.50m/s At what angles must the boat be steered? How long does it take to make the round-trip? (Assume that the boat's speed ...

### physics

A boat travels at 3.8 m/s and heads straight across a river 240 m wide. The river flows at 1.6 m/s. Find A) The boat's resultant velocity. B) How long it takes the boat to cross the river. C) How far downstream the boat is when it reaches the other side. Please help, i have ...

### Physics

a boat crosses a 2 km wide river by starting out at the south shore and heading directly for the north shore if the river flows at 0.8 m/s and the boat can go at 1.4 m/s in still water, where on the opposite shore will the boat land?

### Physics

a boat crosses a 2 km wide river by starting out at the south shore and heading directly for the north shore if the river flows at 0.8 m/s and the boat can go at 1.4 m/s in still water, where on the opposite shore will the boat land?

### Advanced Maths (Vectors) AQA Level

A boat which can travel at 5m/s in still water is crossing a river 200 m wide.the rate of the flow of the river is 2 m/s assumed uniform at every point in the river. Point A and B are directly opposite to each other across the river. a) If the boat leaves A and steer towards B...

### Advanced Maths (Vectors) AQA Level, please help?

A boat which can travel at 5m/s in still water is crossing a river 200 m wide.the rate of the flow of the river is 2 m/s assumed uniform at every point in the river. Point A and B are directly opposite to each other across the river. a) If the boat leaves A and steer towards B...

### physics

a boat that travels at a speed of 6.75 m/s in still water is to go directly across a river and back . the current flows at 0.50 m/s (a) at what angle(s) must the boat be steered. (b)How long does it take to make a round trip? (assume that the boats speed is constant at all ...

### Physics

A boat travelling at 30km/hr relative to water is headed away from the bank of a river and downstream. The river is 1/2 km wide and flows at 6km/hr. The boat arrives at the opposite bank in 1.24 min. I calculated the perpendicular component of the boat relative to the water as...

### Physics

A boat moving at 15 km/h relative to water is crossing a river 1.5 km wide. The river flows at 5.0 km/h a) if the boat heads directly for the opposite shore, how long will the trip take? b)Where will the boat arrive on the opposite shore? c)If the boat is to reach a point ...

### physics

A boat moving at 15 km/h relative to water is crossing a river 1.5 km wide. The river flows at 5.0 km/h a) if the boat heads directly for the opposite shore, how long will the trip take? b)Where will the boat arrive on the opposite shore? c)If the boat is to reach a point ...

### Science

A boat moves at a speed of 15 km/h in still water. The river it is traveling in flows at a rate of 3 km/h downstream. What is the velocity of the boat if it travels downstream? What is the velocity of the boat if it travels upstream?

### Math

How do I draw the following problem so I have something to refer to when answering a) and b)? A river is 2 km wide and flows at 6 km/h. A motor boat that has a speed of 20 km/h in still water heads out from one bank perpendicular to the current. A marina lies directly across ...

### science-physics

a boat travels in still water at 2m/s. It is rowed across a river that flows at 1m/s. Determine the resultant velocity of the boat

### 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 ...

### Physics

A boat travelling at 30km/h relative to water is headed away from the bank of a river and downstream. The river is 1/2 km wide and flows at 6km/h. The boat arrives at the opposite bank in 1.25min. Calculate the component of the boat's velocity directed across the river. ...

### Physics

A motorboat heads due east at 8.5 m/s across a river that flows to the south at a speed of 2.5 m/s. a. What is the velocity of the boat relative to a stationary observer on the shore? B. If the river is 1360 m wide, how long does it take the boat to cross the river? C. How far...

### physics

A boater wants to head straight across a river that has a current of 3 km/hr. If the top speed of the boat in still water is 4 km/hr. 1.find the direction the boat must travel into the current to go straight across the river? 2. How fast is the boat going straight across the ...

### Physics

A boat moves north at a uniform velocity of 15 mph relative to the shore from one side of the river to a point directly opposite on the other side of the river. The water in the river flows east at a constant speed of 5mph parallel to the shore. What is the velocity of the ...

### Calculus

A boat crosses a river and arrives at a point on the opposite bank directly across from its starting position. The boat travels at 4 m/s and the current is 2m/s. If the river is 600 m wide in what direction must the boat steer and how long will it take to cross?

### physics

a boat heads directly across a river with a speed through the water 8m/s. the river current is 2m/s a. what is the magnitude and direction of the boat velocity relative to the earth? b.when the boat reaches the other bank, how far will it be?

### Afro

A man roll a boat in still water at a speed of 1m/s. The man set out to roll the boat in a river from a to b. The water in the river flows at 0.5m/s in the opposite direction.Determine the violocity of the boat through the water.

### physics

A boat’s speed in still water is 1.80 m/s . The boat is to travel directly across a river whose current has speed 1.20 m/s . Determine the speed of the boat with respect to the shore.

### Physics

A boater wants to head straight across a river that has a current of 3km/hr. If the top speed of the boat in still water is 4km/hr, find the direction the boat must travel into the current to go straight across the river. How fast is the boat going straight across the river?

### Physics

A small boat is crossing a river which flows at 10km.h. The driver of the boat keeps it heading directly (at 90) away from the bank at a speed of 24 km/h relative to the water. The river is 0.5 km wide. I calculated the speed of the boat relative to land - 26km/h I calculated ...

### physics

A boat’s speed in still water is vBW = 1.85 m/s. If the boat is to travel directly across a river whose current has speed vWS = 1.20 m/s, at what upstream angle must the boat head?

### CALC urgent please

A boat crosses a river and arrives at a point on the opposite bank directly across from its starting position. The boat travels at 4 m/s and the current is 2m/s. If the river is 600 m wide in what direction must the boat steer and how long will it take to cross?

### physics

water flows in river 0.5km wide with speed 6km/hr. A boat can travel with speed 10km/hr in still water. In what direction should boat sail to reach opposite bank?

### Physics

A boat travelling at 30km/h relative to water is headed away from the bank of a river and downstream. The river is 1/2 km wide and flows at 6km/h. The boat arrives at the opposite bank in 1.25min. Calculate the component of the boat's velocity directed across the river. ...

### vectors components

plz answer my question 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 marina, how far downstream ...

### Physics

A boat’s speed in still water is 1.95m/s . The boat is to travel directly across a river whose current has speed 1.20m/s . Determine the speed of the boat with respect to the shore. Despite, I did it like taking the sqrt (1.95^2+1.20^2) is there something wrong I did? ...

### physics

A boat traveling at 116.5 m/s relative to the water aims to go straight across a river. If the river is 153 m wide and the current in the river is 3.50 m/s, how far downstream will the boat land on the other side of the river? Calculate the answer in meters (m) and rounded to ...

### physics

A motor boat whose speed is 2.6 m/s in still water, needs to point upstream at an angle of 28.5 in order to travel straight across the river. Calculate the speed of the current and the resultant velocity of the boat across the river.

### mechanics

(b) A boat heads North at 2.4 ms-1 across a river that flows East at 1.6 ms-1. (6 marks each) (i) Calculate the resultant velocity of the boat. (ii) The river is 30 m wide. What is the displacement from the starting point when the boat reaches the far bank?

### 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) ...

### 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 ...

### 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...

### Physic

A river 1.00 mile wide flows with a constant speed of 1.00 mi/h. A woman leaves from a point on the river bank. The woman rows a boat 1.00 mi directly upstream and returns to the starting point. Her speed in still water is 2.00 mi/h. The travel time for the woman is A) 2.00 h...

### Physics

A boat sets off perpendicular to the bank, to cross a river width of 250m. The speed of the boat in still water is 3.20ms-1, however there is a current downstream at 1.20ms-1, which puss the boat sideways. a) Find the resultant velocity of the boat. b) Find the total distance ...

### physics

A boat heads directly across a river 39 m wide at 3.9 m/s. The current is flowing downstream at 2.4 m/s. (a) What is the resultant velocity of the boat? m/s (magnitude) ° (direction) (b) How much time does it take the boat to cross the river? s (c) How far downstream is the ...

### Physics

A boat starting on one side of the river heads to the south with a speed of 1.5 m/s, the river flows to the east at .8 m/s. What is the resultant velocity to the side of the river? And if the river is 50 m wide calculate the displacement of the boat

### physics

a boat can sail at 27 m.s in still water. the boat must cross a river that flows at 9 m.s towards the east . if the boat crosses the river by going up stream at an angle of 23 south, what will the size and angle of the resulting velocity be?

### engineering science

a boat can sail at 27 m.s in still water. the boat must cross a river that flows at 9 m.s towards the east . if the boat crosses the river by going up stream at an angle of 23 south, what will the size and angle of the resulting velocity be?

### Physics

A boat moves through the water of a river at 5 m/s relative to the water, regardless of the boat's direction. If the water in the river is flowing at 1.3 m/s, how long does it take the boat to make a round trip consisting of a 215 m displacement downstream followed by a 215 m ...

### Physics

A boat moves through the water of a river at 5 m/s relative to the water, regardless of the boat's direction. If the water in the river is flowing at 1.3 m/s, how long does it take the boat to make a round trip consisting of a 215 m displacement downstream followed by a 215 m ...

### physics

You are riding in a boat whose speed relative to the water is 4.7 m/s. The boat points at an angle of 24.4° upstream on a river flowing at 13.1 m/s. Find the time it takes for the boat to reach the opposite shore if the river is 25.9 m wide.

### physics

You are riding in a boat whose speed relative to the water is 4.7 m/s. The boat points at an angle of 24.4° upstream on a river flowing at 13.1 m/s. Find the time it takes for the boat to reach the opposite shore if the river is 25.9 m wide.

### physics

You are riding in a boat whose speed relative to the water is 6.9 m/s. The boat points at an angle of 25.0° upstream on a river flowing at 15.1 m/s. Find the time it takes for the boat to reach the opposite shore if the river is 26.5 m wide.

### physics

You are riding in a boat whose speed relative to the water is 4.5 m/s. The boat points at an angle of 25.1¡ã upstream on a river flowing at 12.8 m/s. Find the time it takes for the boat to reach the opposite shore if the river is 26.2 m wide.

### physics

You are riding in a boat whose speed relative to the water is 7.4 m/s. The boat points at an angle of 24.8° upstream on a river flowing at 15.2 m/s. Find the time it takes for the boat to reach the opposite shore if the river is 26.1 m wide.

### math

a boat crosses a river and arrives at a point on the opposite bank directly across from its starting position. The boat traveks at 4m/s and the current is 2m/s. If the river is 600 m wide in what direction must the boat steer and how long will it take to cross?

### phy

A boat can travel 2.60 m/s in still water.If the boat points its prow directly across a stream whose current is 1.10 m/s, what is the velocity (magnitude and direction) of the boat relative to the shore? What will be the position of the boat, relative to its point of origin, ...

### Physics 114

You are riding in a boat whose speed relative to the water is 7.2 m/s. The boat points at an angle of 25.7° upstream on a river flowing at 14.1 m/s. Find the time it takes for the boat to reach the opposite shore if the river is 24.5 m wide.

### math(algebra)

a boat can travel at a speed of 15 kph in still water. the boat travels 40 km downstream in a river at the same time it takes to travel 25 km upstream. what is the speed of the river?

### Physics

Diane rows a boat at 8.3 m/s directly across a river that flows at 5.6 m/s. (a) What is the resultant speed of the boat? m/s (b) If the stream is 250 m wide, how long will it take Diane to row across? s (c) How far downstream will Diane be

### Physics

A boat travels at 8m/sec and heads straight across a river 240m wide. The river flows at 4m/sec. What is the boats resultant speed with respect to the riverbank

### physics

Trevor can row a boat at 3.00 mi/hr in still water. He needs to cross a river that is 1.20 miles wide with a current flowing at 1.60 mi/h. Not having his calculator ready, he guesses to go straight across, he should head 60.0 degrees upstream with respect to straight across. a...

### physics - relative motion

A ferryboat, whose speed in still water is 4.00m/s, must cross a river whose current is 3.00m/s. The river runs from west to east and is 128m wide. The boat is pointed north. a) If the boat does not compensate for the flow of the river water and allows itself to be pushed off ...

### 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 ...

### Math

A boat pilot wishes to go in a straight line across a river from the east dock to the west dock in a ferryboat that has a still water speed 8.0 knots. If the river has a Southward current of 2.5 knots, what compass heading should be maintaned while crossing the river? What is ...

### math

A boat pilot wishes to go in a straight line across a river from the east dock to the west dock in a ferryboat that has a still water speed 8.0 knots. If the river has a Southward current of 2.5 knots, what compass heading should be maintaned while crossing the river? What is ...

### 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 ...

### Physics 11

A river has a current of 5 m/s. A boat tries to head directly across at 4 m/s. When the boat reaches the other side it is 30m downstream. How wide is the river ?

### physics 11

A river has a current of 5 m/s. A boat tries to head directly across at 4 m/s. When the boat reaches the other side it is 30m downstream. How wide is the river ?

### trig/ vectors

Points C and D are directly across from each other on opposite banks of a river. A boat travels across the river directly from point c to point d at a speed of 12 mph. If the current of the river has a speed of 4 mph, at what angle, and speed, must the captain head to travel ...

### Geometry

You are boating and heading directly west. The speed of the boat in still water is 36 mi/h. The river flows directly north at 15 mi/h. What is your resultant speed and directional?

### 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

### Trig

A boat heads S 15 degrees E on a river that flows due west. the boat travels S 11 degrees W with a speed of 25 km per hour. Find the speed of the current and the speed of the still water. This is due tomorrow.

### science

a boat heading due north crosses a wide river with speed of 12km/h relative to the water the water in the river has a uniform speed of 5 km/h due east relative to the earth.determine the velocity of the boat relative to an observer standing on either bank and the direction of ...

### Physics

if the water in the river moves downstream at 4mi/hr heading the boat straight across the river, what direction will the boat move relative to the shore? i don't want the answer... i want someone to explain. i wanna learn

### math

The current river flows at rate of 4mph. In order for a boat to travel 24 miles up river and then return in a total of 5 hours how fast must the boat be able to travel in still water?

### Physics

A boat heads directly across a river with a velocity of 12 m/s. If the river flows at 6.0 m/s find the magnitude and direction (with respect to the shore) of the boat's resultant velocity.

### 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?

### Mechanics

A boat has a speed of 15ms-1 in still water. It is used to cross a river 500m wide along which there is a strong current of 0.9ms-1. The boat is being directed to the opposite bank, but is carried downstream. Calculate: a) The boat velocity relative to the bank b) The distance...

### Science

A boat has a speed of 15ms-1 in still water. It is used to cross a river 500m wide along which there is a strong current of 0.9ms-1. The boat is being directed to the opposite bank, but is carried downstream. Calculate: a) The boat velocity relative to the bank b) The distance...

### physics

A boat moves through the water of a river at 5 m/s relative to the water, regardless of the boat's direction. If the water in the river is flowing at 1.6 m/s, how long does it take the boat to make a round trip consisting of a 180 m displacement downstream followed by a 180 m ...

### Physics

Two boats, A and B, travel with a velocity of 4.90 m/s across a river of width 72.0 m. The river flows with a velocity of 2.50 m/s. Boat A travels the shortest distance and boat B travels in the shortest time. If both start at the same time, how much time will they take to ...

### algbra

a paddle boat can move at a speed of 14 km/h in still water. the boat is paddled 16 km downstream in a river in the same time it takes to go 8km upstream. what is the speed of the river?

### 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 man can row a boat at a speed of 2metres per second . The man set out to row the boat in a river from A to B. The water in the river flows 0.8metres per second in the opposite direction.Determine the velocity of the boat through the water.

### Physics

A boat that can travel at 3.0 km/h in still water crosses a river with a current of 1.7 km/h. At what angle must the boat be pointed upstream to travel straight across the river?

### Physics

Suppose at one point along the Nile River a ferryboat must travel straight across a 1.29-mile stretch from west to east. At this location, the river flows from south to north with a speed of 2.58 m/s. The ferryboat has a motor that can move the boat forward at a constant speed...

### physics

A river flows toward 90 degrees. A river boat pilot heads the boat at 297 degrees and is able to go straight across the river at 6 m/s. What is the velocity of the current? What is the velocity of the boat?