A hunter wishes to cross a river that is 1.5 km wide and flows with a speed of 5.0 km/h parallel to its banks. The hunter uses a small powerboat that moves at a maximum speed of 12 km/h with respect to the water. What is the minimum time necessary for crossing?

A hunter wishes to cross a river that is 1.5 km wide and flows with a speed of 5.0 km/h parallel to its banks. The hunter uses a small powerboat that moves at a maximum speed of 12 km/h with respect to the water. What is the minimum time necessary for crossing?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section6.3: Relative Velocity

Problem 27PP

See similar textbooks

Related questions

Q: A train makes a round trip on a straight, level track. The first half of the trip is 300\…

A: We need to find the average speed and average velocity of the train for the round trip as described…

Q: If a rock was thrown with an initial velocity of 10 m/s in the x-direction at an angle of 40…

Q: A balloon is ascending with a velocity of v = 3.09 when a stone is released. If the height at the…

Q: A pilgrim throws a coin down a well with an initial speed of 2 m/s, and it takes 10s to reach the…

A: Given data The initial speed of the coin is given as u = 2 m/s. The time taken by the coin to reach…

Q: You drive north on a straight two-lane road at a constant 57.8 km/h. A truck in the other lane…

Q: Find the magnitude of the change in velocity v. Find the direction of the change in velocity v.

A: Given data: The initial velocity of the car is: vi = 45 km/hr The final velocity of the car is: vf =…

Q: A receiver on a football team runs 8.0 m [E] and then turns abruptly to run 12.0 m [W]. If the…

A: first leg of displacement of player = 8 m due east second leg of displacement of player = 12 m due…

Q: A red train traveling at 72 km/h and a green train traveling at 144 km/h are headed toward each…

A: Let vr be the initial velocity of the red train, vg be the initial velocity of the green train, d be…

Q: Which of the following is false for an object thrown upward X a. Its acceleration is g= -10 m/s…

Q: A jetliner with an airspeed of 1000 km/h sets out on a 1500 km flight due south. To maintain a…

A: Given data: The total travel distance is d=1500 km The destination time is t=110 min Calculate the…

Q: A Space-X shuttle is fired from its launch pad at x = 0 and travels along a path described by…

A: Given : The path traveled by the Space X shuttle y2 = 120000 x The x - component of acceleration ax…

Q: Consider an airplane whose takeoff speed is 220 km/h and that takes 15 s to take off at sea level.…

A: An aircraft will takeoff when the lift is equal to the total weight,

Q: A bicycle traveling at a speed of 19 km/h passes a person running at a speed of 8 km/h. From the…

A: Given Velocity of bicycle = 19 km/h Velocity of a running person = 8 km/h We have to calculate the…

Q: an arrow is shot vertically upward with a speed of 34 m/s and 4 seconds later another arrow is shot…

A: Let us call the first arrow A and the second arrow B. The distance traveled by A in 4 sec is: The…

Q: What is the magnitude of the velocity of the object just before it hits the ground?

A: Initial velocity is v = 20 m/s Angle of projection is 25o

Q: A swimmer heading directly across a river 200 m wide reaches the opposite bank in 1 min 40 s. She is…

A: Given : Width of the river d=200 m Time taken to reach at the other end of the river t=1 min 40…

Q: If the velocity and acceleration of an object are in the opposite direction, the speed of the object…

A: Velocity is the rate of change of displacement with respect to time. It is a vector quantity that is…

Q: In diving to a depth of 750. m, a dolphin also moves 640. m due east of his starting point. What is…

A: The dolphin first moves 640 m due each of his starting point. Then it goes to a depth of 750 m. The…

Q: A projectile is launched from ground level with the initial velocity of 50.0 m/s. The time of the…

A: The angle of projection is,

Q: A car travels 40km due west and 50km in a direction 30° north of east. X component of the resultant…

Q: A pilot is required to fly directly from London, UK, to Rome, Italy in 3.5 h. The displacement is…

Q: A boat can travel 2.3 m/s in still water. If the boat travels across a stream whose current is 1.2…

A: Given v1 = 2.3m/s v2 = 1.2 m/s

Q: Mr. Mangan is flying due north with a velocity of 150 m/s relative to the ground, into a west-bound…

A: Given Data: Velocity in North direction is Vn=150 m/s Velocity in West direction is Vw=80 m/s

Q: A car travels 21 km, North and again 41 km, North. The resultant displacement of the car is O a. -20…

A: Displacement of an object is defined as the distance between final position and initial position of…

Q: A man and a parachute are falling with a speed of 173 ft/sec when the parachute opens and the speed…

Q: Salmon often jump waterfalls to reach their breeding grounds. Starting downstream, 1.81 m away from…

A: It is given that, x=1.81 my=0.347 mθ=40og=9.81 m/s2

Q: A ship whose velocity relative to the water is 20 km/h is moving in a river where the water flows at…

A: Given : v1 = 20 km/h v2 = 6 km/h

Q: When the direction of a car's velocity is opposite of the direction of its acceleration, then it is…

A: When a car is moving with a velocity in a particular direction.

Q: Concerning projectiles, which of the statements below is correct? Its acceleration keeps changing.…

A: Projectile motion is the combination of two dimensional motion one is along x axis and another is…

Q: What is the minimum time it will take the elevator to ascend from the lobby to the observation deck,…

A: Given, the following data: mass, m = 2400 kg maximum ascent speed, v1 = 18 m/s Maximum acceleration,…

Q: In reaching her destination, a backpacker walks with an average velocity of 1.17 m/s, due west. This…

A: The backpacker travels 6.57 km due west with an average velocity of 3 m/s. Time taken t1 is,

Q: An airplane heads due east at 110 m/s through a 25 m/s cross wind blowing from north to south. The…

Q: A train makes a round trip on a straight, level track. The first half of the trip is 300km and is…

A: Given:For first half of the tripDistance covered by train s1 = 300 kmSpeed of the train v1 = 75 km/h…

Q: An airplane needs to reach a velocity of 184 km/h to take off. On a 2000 m runway, what is the…

A: The initial velocity of airplane is zero.

Q: The water in a river flows downstream at 3.0 m/s. A boat is motoring upstream against the flow at…

A: To determine the boat’s speed relative to the riverbank,

Q: A swimmer, capable of swimming at a speed of 1.20 m/s in still water, starts to swim directly across…

A: Given:- A swimmer, capable of swimming at a speed of 1.20 m/s in still water,…

Q: The only parameter that is common in horizontal and linear motion in a projectile is A. Range B.…

A: In horizontal motion object move with a linear speed for a time period to cover a range (distance)…

Q: If an object has a constant x-component of velocity and suddenly experiences an acceleration at an…

Q: A car travels 29 km, North and again 43 km, North. The resultant displacement of the car is O a. 72…

A: Draw the diagram of the displacement of the car.

Q: A car travels 28 km, North and again 43 km, North. The resultant displacement of the car is O a. -15…

A: Displacement 1, x1 : 28 km North Displacement 2, x2 : 43 km North Total Displacement, x = x1 + x2…

Q: If the ball is initially thrown with a speed of V0=17.5 m/s, what is the x-component of the initial…

A: Given : m = 1 kg θ = 25° vo = 17.5 m/s

Q: The best leader in the animal kingdom is the luma, which can jump to a height of 12 ft when leaving…

A: Given: Maximum height h = 12 ft. = 3.658 m. Angle θ = 45o.

Q: An airplane heads due south at 140 m/s through a 20 m/s cross wind blowing from west to east. The…

Q: An airplane flies horizontally at a height of h = 7840 m and with a speed of 720 km/h. A package is…

Q: A ball is thrown at an angle of 35 degrees. If the final speed is 8 meters per second, what is the…

Q: Acceleration is positive if.. A) the object is speeding up only B) the object is slowing down C)…

A: Acceleration is defined as the rate of change of velocity with respect to time. When…

Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Given and required quantities

VIEW

Minimum time necessary for crossing the river.

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

a hunter wishes to cross a river that is 2.2 km wide and flows with a speed of 5.0 km/h parallel to its banks. The hunter uses a small power boat that moves at a maximum speed of 13 km/hwith respect to the water. what is the minimum time necessary for crossing?
A bridge that was 11.2 m long has been washed out by the rain several days ago. How fast must a car be going to successfully jump the stream? Although the road is level on both sides of the bridge, the road on the far side is 2.1 m lower than the road on this side.
A riverboat took 2 hours to travel 24 km down a river with the current and 3 hours to make the return trip against the current. Find the speed of the boat in still water and the speed of the current.
A man flies a small airplane from Fargo to Bismarck, North Dakota a distance of 180 miles. Because he is flying into --- a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1 hour 12 minutes. What is his speed in still air, and how fast is the wind blowing? Your answer is his speed equals the wind speed equals
A swimmer heading directly across a river 200 m wide reaches the opposite bank in 3 min 20 s. She is swept downstream 480 m. What is the speed of the current?
A bridge that was 11.2 m long has been washed out by the rain several days ago. How fast must a car be going to successfully jump the stream? Although the road is level on both sides of the bridge, the road on the far side is 3.3 m lower than the road on this side. 喜券
A bicyclist is coasting on level ground at 18.25 m/s. The bicyclist coasts up an incline and grabs an overhanging tree limb. How fast is the bicyclist traveling when he grabs the limb?
A stone is thrown at a cliff with a height of h. If the stone is thrown with an initial speed of 42 m/s at an angle θ=60° and hits the cliff at A 5.5 seconds later, determine the speed of the stone when it hits A. Use g = 10 m/s/s.
A river has a steady speed of 1.5 m/s. A student swims upstream a distance of 500 m, and then turn around, swims a distance of 700 m downstream. If this student can swim 2.0 m/s in still water, how long does this whole trip (back and forth) take? (Hint: You need to find the resultant speed of the student for both upstream and downstream)
A motorcyclist’s stunt requires him to cross a ravine. He starts from a ramp on the left which is inclined at an angle of 45 degrees. His motorcycle is going at 30m/s when he leaves the ramp. He makes it just across and lands on the opposite side of the ravine on a ramp that has a height 4 meters below the first. How wide is the ravine?
4. A swimmer is able to swim at a speed of 0.90 m/s in still water. (a) How long does it take the swimmer to go a distance of 1500 m in still water? Call this time t,. (b) The swimmer then decides to swim the same distance in a river having a current with a speed of 0.50 m/s. How long does this take if she swims with the current? Call this time t,. (c) How long does it take her to swim the same distance against the current? Call this time t,. (d) Explain why t, - t, is not equal to t, - t,.
An airplane is delivering food to a small island. It flies 100 mm above the ground at a speed of 140 m/sm/s .Where should the parcel be released so it lands on the island? Neglect air resistance.