Suppose a boat moves at 12.0 m/s relative to the water. If theboat is in a river with the current directed east at 2.50 m/s,what is the boat’s speed relative to the ground when it isheading (a) east, with the current, and (b) west, against thecurrent?

Suppose a boat moves at 12.0 m/s relative to the water. If theboat is in a river with the current directed east at 2.50 m/s,what is the boat’s speed relative to the ground when it isheading (a) east, with the current, and (b) west, against thecurrent?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 9P

See similar textbooks

Related questions

Q: An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the…

Q: A stone is catapulted at time t=0, with an initial velocity of magnitude 20.6 m/s and at an angle of…

A: We know that it is moving like a projectile motion of the stone. we know that some concepts must be…

Q: A light plane is headed due south with a speed relative to still air of 185 km/h. After 1.00 h, the…

Q: An object is launched with an initial velocity of 24.5 m/s at an angle of 37.2 degrees relative to…

Q: A ball is launched with an initial velocity of 44.1 meters per second, at an angle of 34.4" above…

A: Given Initial velocity is 44.1 m/s. Direction is 34.4° from horizontal. We can calculate the…

Q: An arrow at angle of 25° is moving at a rate of 15 m/s, find the final velocity (along the X and Y…

Q: Ammar flies a drone starting from time = 0 second and position (0, 4m) with an acceleration of å =…

Q: A stone is catapulted at timet 0, with an initial velocity of magnitude 20.6 m/s and at an angle of…

Q: If a boat points its prow directly across a river, and its engine has one speed of 8.39 m/s. What is…

Q: As a projectile moves in its path, is there any point along the path where the velocity and…

A: a) At maximum height or peak of the path, the velocity and acceleration vectors are perpendicular to…

Q: A projectile is fired horizontally from a gun that is 45.0 m above flat ground, emerging from the…

Q: A movie stunt actor drops from a helicopter that is 30.0 m above the ground and moving with a…

A: Height of helicopter above the ground (h) = 30 m Vertical component of the initial velocity (u) = 10…

Q: A stone is catapulted at timet 0, with an initial velocity of magnitude 20.6 m/s and at an angle of…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A flock of ducks is trying to migrate south for the winter, but they keep being blown off course by…

Q: A cyclist traveling southeast along a road at 15 km/h feels a wind blowing from the southwest at 25…

A: Vwc is the velocity of wind relative to the cyclist in the south west and Vcr is the velocity of…

Q: When a projectile is fired with a velocity of 815 m/s at an angle of 37º above the horizontal, the…

A: The maximum height of a projectile is given by H=u2 sin2θ2g

Q: A projectile is given an initial velocity of 38.9 m/s at angle of 56.2 degrees with respect to the…

Q: Ammar flies a drone starting from time = 0 second and position (0, 4m) with an acceleration of å =…

Q: Two projectiles are thrown with the same magnitude of initial velocity, one at an angle with respect…

A: Range of the projectile Thus, complementary angles provide the same range.

Q: A person looking out the window of a stationary train notices that raindrops are falling vertically…

A: Given, Speed = 5.57 m/s Angle = 25 degrees

Q: A pilot wants to fly due north, but finds that he must direct his plane 19.0° to the east to…

A: Given data The velocity of the plane's airspeed is Vpw = 200 km/h. The plane is directed to an…

Q: A projectile (i gás) is to be launched ( ) above the horizontal direction such that its range (R)…

A: Given A projectile is launched at some angle above the horizontal Range is equal to three times of…

Q: A projectile is launched with Vg 8.3 m/s and initial angle = 1.01 radians above the horizontal. w is…

Q: Passengers on the deck of a boat with a speed of Vs= 20⁡ m/s with the given direction experience a…

Q: A man can row at 8.5 mi/hr in still water. If velocity of stream is 1.5 mi/hr, at what angle with…

Q: A man points his rowboat north, straight across a river of width 114.3 m. The river flows due east.…

A: Speed is rate of change of distance. v=dt GIVEN : Distance across the river da = 114.3 m Downstream…

Q: A migrating salmon heads in the direction N 45° E swimming 5 mi/hr relative to the water. The ocean…

A: The free body diagram is shown below: The velocity of the salmon relative to the water is as…

Q: A transcontinental flight of 4350 km is scheduled to take 50 min longer westward than eastward. The…

Q: bus driver heads south with a steady speed of v, = 20.0 m/s for t, northwest at v2 = 30.0 m/s for t,…

A: Assume the bus initially travels south with velocity v1 = 20.0 m/s for time t1 = 3.00 min and covers…

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: The operator of a boat wishes to cross a 5-km wide river that is flowing to the east at 10 m/s. He…

A: Given:River is ,d = 5 m wideTime taken to go to the opposite point on shore, t = 15 min…

Q: ship sets sail from Rotterdam, The Netherlands, intending to head due north at 7.5 m/s relative to…

Q: .A pilot maintains a heading due west with an air speed of 240 km/h. After flying for 30 min, finds…

Q: An FBI Tactical Operations Team agent uses a high tech sling shot to launch an object from the roof…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: A projectile is launched from the origin with an initial speed of 20.0 m>s at an angleof 35.0°…

Q: A firefighter, 50.0 m from a burning building, directs a jet of water from a fire hose located at…

A: Horizontal range, L = 50 m Stream of water, v = 40 m/s Angle = 30.0˚

Q: A firefighter, a distance d from a burning building, directs a stream of water from a fire hose at…

A: The horizontal distance is, d=vicosθit⇒t=dvicosθi

Q: A tennis player hits a ball into the air with an initial velocity of 15 m/s at an angle of 50° to…

A: The initial velocity of the ball, v0=15 m/s The launch angle, θ=50° The acceleration due to…

Q: An airplane that can move at 663 km/h in still air starts heading due east. If wind blows at a…

Q: The given vector represents a hot air balloon that experiences a 0.25 m/s acceleration at an angle…

Q: A particle initially located at the origin has an acceleration of a = 3.00j m/s² and an initial…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: An archer wishes to shoot an arrow at a target at eye level a distance of 41.5 m away. If the…

A: horizontal distance (d) = 41.5 m Initial speed (u) = 73.2 m/s

Q: A rowboat crosses a river with a velocity of 3.60 mi/h at an angle 62.5° north of west relative to…

A: The figure is given below. Calculate the component of the velocity, vbx, of the boat in the…

Q: A cannonball is fired from the horizontal ground with an initial velocity of magnitude vo at an…

A: The formula for the time of flight is T = 2vo sin A g where, A is the angle of projection and vo is…

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

Suppose a boat moves at 12.0 m/s relative to the water. If the
boat is in a river with the current directed east at 2.50 m/s,
what is the boat’s speed relative to the ground when it is
heading (a) east, with the current, and (b) west, against the
current?

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

Step 1

VIEW

Step 2

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

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 strong wind blows to the west at a speed of 38.7 mi/h relative to the ground causing a commercial plane to change course What should be the plane's velocity in order to maintain a southward direction at a constant speed of 452 mi/h relative to the ground?
A man can row at 8.5 mi/hr in still water. If velocity of stream is 1.5 mi/hr, at what angle with the river bank must the boat be steered to travel the shortest distance in crossing river? What is the velocity of the boat with respect to the river bank in mi/hr?
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 rowboat crosses a river with a velocity of 3.60 mi/h at an angle 62.5° north of west relative to the water. The river is 0.535 mi wide and carries an eastward current of 1.25 mi/h. How far upstream is the boat when it reaches the opposite shore?
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?
A projectile is given an initial velocity of 44.7 m/s at an angle of 58.8 degrees with respect to the horizontal. How far has it moved in the x-direction at the time when its speed in the y-direction is 11.2 m/s?
A field biologist is studying the migration patterns of northern gannets (a type of seabird). On one particularday, she records that they fly 5.0 km northeast, then turn toward to the south of east by 30 degrees and fly 4.0 kmin the new direction. How far north or south of their original position are the birds?
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?
If you are standing on the free-throw line on a basketball court, the basket is about 4.5 m horizontally from you and it is located around 3m above the floor. What initial velocity vector is required to successfully throw the ball into the basket?
Passengers on the deck of a boat with a speed of Vs= 20⁡ m/s with the given direction experience a wind blowing at a speed of Vw = 10⁡ m/s as shown. What is the magnitude of the wind speed experienced by someone on the shore?
A plane that is capable of travelling at 140 m/s wishes to travel due north from City A to City B, 500 km away, but encounters a constant crosswind that blows 25 m/s due west. What must the plane’s heading be in order to reach its destination? Suppose the pilot has no navigational expertise and decides to aim straight for City B. How far west of City B will the plane end up?