Physics Fundamentals
2nd Edition
ISBN: 9780971313453
Author: Vincent P. Coletta
Publisher: PHYSICS CURRICULUM+INSTRUCT.INC.
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Chapter 3, Problem 28P
To determine
The velocity of plane relative to the earth
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A plane is headed due west with an air speed of 224 m/s. The wind blows south at 17.5 m/s. Find the velocity of the plane relative to the earth? Find the magnitude and the direction south of west?
A ship is on course for The Netherlands, heading North at 7.00 m/s. The ocean current is moving at 1.50 m/s in a direction of 40.0 degrees NE. What is the resultant velocity of the ship, and it's resultant direction?
A ship sets sail from Rotterdam, heading due north at 7.00 m/s relative to the water. The local ocean
current is 1.50 m/s in a direction 40.0° north of east. What is the velocity of the ship relative to Earth?
Chapter 3 Solutions
Physics Fundamentals
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- A plane is headed due west with an air speed of 207 m/s. The wind blows south at 20.0 m/s. Find the velocity of the plane relative to the earth.To solve this problem it will be necessary to determine the plane's velocity relative to the the air. What is the plane's east-west velocity relative to the air? (Define the positive direction to be east.)Additionally, to solve this problem it will be necessary to determine the air's velocity relative to the earth. What is the air's north-south velocity relative to the earth? (Define the positive direction to be north.)arrow_forwardA plane is flying directly into a headwind at 300.0 km/h relative to the air. The air is blowing at 90.0 km/h relative to the ground. What is the plane's speed, in km/h, relative to the ground?arrow_forwardthe balloon is rising vertically at 4.0 m/s. Wind is blowing from east to west at 3.0m/s. Find the resultant velocity of the balloon.arrow_forward
- A jet airliner moving initially at 3.80 ✕ 102 mi/h due east enters a region where the wind is blowing at 1.00 ✕ 102 mi/h in a direction 29.5° north of east. (Let the x-direction be eastward and the y-direction be northward.) (a) Find the components of the velocity of the jet airliner relative to the air, vJA. (b) Find the components of the velocity of the air relative to Earth, vAE (c) What are the speed and direction of the aircraft relative to the ground? magnitude _______ mi/h direction _______ °north of eastarrow_forwardA jet airliner moving initially at 3.35 102 mi/h due east enters a region where the wind is blowing at 1.00 102 mi/h in a direction 35.5° north of east. (Let the x-direction be eastward and the y-direction be northward.) (a) Find the components of the velocity of the jet airliner relative to the air, JA. vJA,x = mi/h vJA,y = mi/h (b) Find the components of the velocity of the air relative to Earth, AE. vAE,x = mi/h vAE,y = mi/h (c) Write an equation analogous to vAB = vAE − vBE for the velocities vJA, vAE, and vJE . (In the given equation, vBE is the velocity of observer B relative to observer E. Object A travels with velocity vAB relative to observer B, and velocity vAE relative to observer E.) vJA = vJA = vAE + 2vJE vJA = vAE − vJE vJA = vJE − vAE vJA = vJE + vAE (d) What are the speed and direction of the aircraft relative to the ground? magnitude mi/h direction ° north of eastarrow_forwardA ship sets sail from Rotterdam, The Netherlands, intending to head due north at 7.5 m/s relative to the water. However, the local ocean current is 1.50 m/s in a direction 40.0º north of east and changes the ship's intended motion. In what direction would the ship have to travel in order to have a resulant velocity straight north relative to the earth, assuming the speed relative to the water reamins 7.5 m/s? Specicify the angle west of north, relative to earth? And what would the ship's speed be relative to the Earth, in meters per secondarrow_forward
- On a day when the wind is blowing toward the south at 5 m/s, a runner jogs east at 7 m/s. What is the velocity (speed and direction) of the air relative to the runner?arrow_forwardAn airplane is flying northerly at a speed of 112 m/s when the wind blows towards 30.15 degrees south of the east at a speed of 25 m/s. what will be the resulting velocity of the airplane?arrow_forwardThe Airbus A350 from Manila bound for St. Petersburg cannot travel in a straight route due to weather disturbances and some restrictions in the air space. Instead, it travelled at a velocity of 740 kph due 25° NNE, then it turned towards East at a velocity of 870 kph. After that, at a velocity of 900 kph, it ventured 35° WNW, then it turned 50° South of West maintaining the same velocity of 900 kph. Finally, to reach its destination, it needs to turn towards west at a velocity of 350 kph. Find the magnitude and direction of the resultant of the airplane’s velocity during its flight.arrow_forward
- A plane is traveling eastward at an airspeed of 500 km/h. But a 90 km/h wind is blowing southward. What are the direction and speed of the plane relative to the ground?arrow_forwardA pilot is required to fly directly from London, UK, to Rome, Italy in 3.5 h. The displacement is 1.4 3 103 km [43° E of S]. A wind is blowing with a velocity of 75 km/h [E]. Determine the required velocity of the plane relative to the air.arrow_forwardA sailor in a small boat encounters shifting winds. She sails 8 km south, then 15 km 30o E of N, and then 12 km 25o N of W. Use the polygon method to determine the magnitude and direction of her resultant displacement.arrow_forward
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