The pilot of an airplane notes that the compass indicates a heading due west. The airplanes speed relative to the air is 150km/h. The air is moving in a wind at 30.0km/h toward the north. Find the velocity of the airplane relative to the ground.

The pilot of an airplane notes that the compass indicates a heading due west. The airplanes speed relative to the air is 150km/h. The air is moving in a wind at 30.0km/h toward the north. Find the velocity of the airplane relative to the ground.

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 1P: A motorist drives south at 20.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.00...

See similar textbooks

Related questions

Q: An airplane travels east at a rate of 800 km/h for 2 h. Which of the following are vectors? a. The…

Q: A fire fighter 32.0 m away from a building, directs a stream of water from a fire hose at an angle…

A: Given that, The initial position of the person, xi is 0 m. The final position of the person, xf is…

Q: (a) Draw the initial and final velocity vectors (b) Find Dv

A: The initial and final velocity vectors as shown the below plot.

Q: The pilot of an airplane notes that the compass indicates a heading due west. The airplane's speed…

Q: A plane is traveling at a speed of 650 mph at a bearing of 60° West of North. It is flying in wind…

A: Given: The speed of the plane is 650 mph. The direction is 60 degrees West of North. The speed of…

Q: A plane flies northeast at an airspeed of 563 km/h. (Airspeed is the speed of the aircraft relative…

Q: What is the x and y components of the velocity of a ball kicked at an angle of 37⁰ from east and has…

A: Given : Velocity of the ball, v = 21.7 m/s Angle of the ball, = 37⁰ from east (x) Required : x and…

Q: The engine of a boat drives it across a river that is 238 m wide. The velocity of the boat relative…

A: Width of river (w)=238 m Velocity of boat relative to water (vbw)=14.2 m/s Velocity of water…

Q: A plane is to fly due north. The speed of the plane relative to the air is 200 km/h, and the wind is…

A: Given quantities: Velocity of plane relative to air (vpa) = 200 km/h Velocity of air relative to…

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: Which of the following will not affect the trajectory of an idealized projectile? a. initial angle…

Q: A canoe has a velocity of 0.310 m/sm/s southeast relative to the earth. The canoe is on a river that…

A: Velocity of canoe relative to earth (v) = 0.31 m/s southeast Velocity of river relative to earth…

Q: The average velocity vector of a moving object points in the same direction as which of the…

Q: An airplane flies north relative to the ground in a 40 km / h wind to the east. If the speed of the…

A: Given:Vp = 80 km/hr due north Vw = 40 km/hr towards eastFind the speed relative to the air.Now,The…

Q: A car travels 25km due north and 50km in a direction 35° north of east. X component of the resultant…

Q: A pilot wishes to make a flight of 3.0x10 km [SW) in 0.75h. On checking with the meteorological…

A: Given: Distance of flight, d=3.0×102 kmTime of flight, t=0.75 hVelocity of the wind, v2=82 km/h

Q: a red-tailed hawk flew south at 16m/s with a wind resistance of 6m/s in the direction of 20.0…

Q: A river flowing southward has a current of 7 miles per hour. A motorboat in still water maintains a…

Q: A cheetah is running at a speed of 21.0 m/s in a direction of 50° north of west. Find the components…

A: Given that speed of cheetah is 21 m/s The direction of velocity is 50 degrees north of west.

Q: A motorist drives south at 24.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.60…

A: The displacement of the driver is shown in the vector diagram below: From the question, d1=-24×3×60…

Q: The compass of an aircraft indicates that it is headed due east, and its airspeed indicator shows…

A: According to the question, Also, it is given that, V→pw=150 kmhr Here, V→pw is the velocity of…

Q: A sailboat floats in a current that flows due east at 11 m/s. Due to a wind, the boat's actual speed…

Q: An airplane with an airspeed of 120 km/h has a heading of 30° east of north in a wind that is…

A: Applying cosine law in above figure, V2pg=V2w+V2pw-2×Vw×Vpw............(1) Where, Vpg=velocity of…

Q: A pilot wishes to fly a track of 070 degrees and the airspeed of the plane is 155 knots. There is a…

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: Which of the following correctly applies to a projectile In the absence of friction? A. The…

Q: An airplane is heading due south at an air speed of 6.00*102 km/hr when a wind begins blowing from…

A: Given data The speed of an airplane heading South is vp = 600 km/hr The wind speed in the southwest…

Q: What direction should the plane head to fly straight from Barnesburg to Warlicktown? (angle W of N).…

Q: A small airplane is flying due north at 150 km/h when it encounters a wind of 80 km/h from the…

Q: * 10. For each of the following velocity vectors, the x- and y-components of the vector are…

A: Consider the point from which the vector begins to be the origin. Now, consider the components…

Q: When there is no air resistance what best describes the vectors of a projectile in motion O The…

A: Required : Direction of vectors of a projectile in motion.

Q: The speedboat B is cruising to the north at 74 mi/hr when it encounters an eastward current of speed…

A: Given data: The speed of the boat B to the north, vB=74 mihr The speed of the boat B to the…

Q: A pilot wishes to make a flight of 3.0x10 km [SW] in 0.75h. On checking with the meteorological…

A: Given- Distance= 300km TIme=0.75 hr or 45min(after conversion) Velocity=? θ=?

Q: A cheetah is running at a speed of 20.1 m/s in a direction of 71° north of west. Find the components…

A: (given) Speed of cheetah = 20 m/s θ =71° north of west Equations for the components of the cheetah's…

Q: A football is kicked at an angle of 73 degrees with a velocity of 20.0 m/s. Find: (a) the max…

A: Given data: A projectile motion of the football Angle (θ) = 73°, above the horizontal Initial…

Q: An airplane is heading due south at an air speed of 6.00*102 km/hr when a wind begins blowing from…

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

Q: A car travels 25km due south and 55km in a direction 30° north of east. X component of the resultant…

A: Rx = 55 Cos30° = 47.63 km Ry = 55 Sin30° - 25 = 2.5 km

Q: Determine the magnitude of the resultant and its direction from the positive x- axis. 300 Ib 100 lb…

Q: Which of the following does not describe a vector quantity? a. a 900 kg mass b. a ball projected…

A: In given problem it is asked about scalar and vector quantities scalar quantity; these quantities…

Q: A boat is traveling upstream at 5 km/h due north relative to the shore. If the water’s current is 7…

A: Relative velocity definition: It is the vector difference between the velocities of different…

Q: A passenger on a moving train walks at a speed of 1.60 m/s due north relative to the train. The…

Q: An airplane left an airport and flew 105 mi in the direction of North 50.4000 deg E, then turned and…

Q: small rocket is fired from a launch pad 15 m above the ground with an initial velocity (250,350,500)…

Q: A small aircraft for one person is used on a short horizontal flight. On its journey from A to B.…

Q: A rocket is fired at an angle of 30° above the horizontal. If the x-component of its initial…

A: Say velocity is v and it can be resolved into two components as given in following diagram: X…

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

100%

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

An airplane has a velocity relative to the air of 186 m/s in a westerly direction. If the wind has a speed relative to the ground of 63 m/s directed to the north, what is the speed of the airplane relative to the ground?
A ferryboat has a still water speed of 10.3 km/hr. Its helmsman steers the boat due north across a river that runs with a current of 5.2 km/hr east. If the trip lasts 1.5 hr, how wide is the river? How far east does the ferry travel during the trip?
A small airplane is flying due north at 150 km/h when it encounters a wind of 80 km/h from the east. What is the resultant ground velocity of the plane? (Answer: 170km/h; 62 degree)
The pilot of an airplane notes that the compass indicates a heading due west. The airplane's speed relative to the air is 100 km/h. The air is moving in a wind at 27.0 km/h toward the north. Find the velocity of the airplane relative to the ground.Magnitude ? km/h Direction ? ° north of west
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 is traveling upstream at 5 km/h due north relative to the shore. If the water’s current is 7 km/h due south, what is the boat’s velocity relative to the water?
A plane wishes to fly to an airport located 540 km [N30°W]. There is a wind blowing at 45 km/h from the west. If the plane wishes to arrive in 1.5 hr, what airspeed and heading must it have? Include a labelled diagram.
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 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 jet airliner moving initially at 2.95 ✕ 102 mi/h due east enters a region where the wind is blowing at 1.00 ✕ 102 mi/h in a direction 27.0° north of east. (Let the x-direction be eastward and the y-direction be northward.) What are the speed and direction of the aircraft relative to the ground? magnitude direction
An airplane left an airport and flew 105 mi in the direction of North 50.4000 deg E, then turned and flew 493 mi in the direction of South 11.9000 deg E. How far (mi) and in what direction should it return to the the airport?
A plane is headed due east with air speed 240kph. If a wind of 40kph is blowing from the north, find the ground speed of the plane.