An airplane flies with an air speed of 260 m/s in a direction 5.0° south of west. It is in the jet stream, which is blowing at 35.0 m/s in a direction 15° south of east. What is the (a) magnitude and (b) direction of velocity of the airplane relative to the Earth?
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- Can you help me with this problem? A bald eagle flies 5.75 m/s north relative to the air. There is a wind that is blowing east to west at 3.25 m/s. What is the magnitude and direction angle relative to the ground of the bald eagle velocity? Assume the y axis is north/south and the x axis east and westAn airliner flying initially at 60.81 m/s due north enters a region where the wind is blowing at 21.18 m/s in a direction 39.18 degrees north of east. What is the velocity of the aircraft relative to the ground?Ship A is located 3.8 km north and 2.6 km east of ship B. Ship A has a velocity of 22 km/h toward the south and ship B has a velocity of 38 km/h in a direction 35° north of east. What are the (a) x-component and (b) y-component of the velocity of A relative to B? (Axis directions are determined by the unit vectors î and 7, where i is toward the east.) (c) At what time is the separation between the ships least? (d) What is that least separation? (a) Number (b) Number (c) Number (d) Number IN IN Units Units Units Units > >
- A plane is travelling horizontally at 1500 km/h. A rocket is fired horizontally ahead from the plane at an angle of 6.0o from the direction of the plane and with a velocity of 2000 km/h. What is the resultant velocity of the rocket?A jet airliner, moving initially at 300mi/h to the east, suddenly enters a region where the wind is blowing at 100mi/h toward the direction 30.0 north of east. What are the new speed and direction of the aircraft relative to the ground?A flock of ducks is trying to migrate south for the winter, but they keep being blown off course by a wind blowing from the west at 6.0 m/s. A wise duck finally realizes that the solution is to fly at an angle to the wind. If the ducks can fly at 8.0 m/s relative to the air, what direction should they head in order to move directly south? What will be their speed, relative to the ground?
- 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 30° west of north.What are the (a) magnitude and (b) direction of the boat’s velocity relative to the ground? (c) How long does the boat take to cross the river?A 240-m-wide river flows due east at a uniform speed of 3.3m/s. A boat with a speed of 7.7m/s relative to the water leaves the south bank pointed in a direction 39o west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the ground? Give the direction as the angle of the velocity from due north, positive if to the east and negative if to the west. (c) How long does it take for the boat to cross the river?For safety reasons, park rangers decide to start an avalanche on a mountain slope. They fire an artillery shell at an angle of 520 above the horizontal with an initial speed of 295 m/s. Thirty seconds later they see the explosion. What is the x coordinates of the shell where it explodes, relative to the firing point?
- A 150-m-wide river flows due east at a uniform speed of 2.3m/s. A boat with a speed of 8.2m/s relative to the water leaves the south bank pointed in a direction 33° west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the ground? Give the direction as the angle of the velocity from due north, positive if to the east and negative if to the west. (c) How long does it take for the boat to cross the river? (a) Number (b) Number (c) Number i Units Units Units [[ ↔A 210-m-wide river flows due east at a uniform speed of 2.5 m/s. A boat with a speed of 8.6 m/s relative to the water leaves the south bank pointed in a direction 30 west of north. (a) What is the magnitude of the boat's velocity? m/s (b) What is the direction of the boat's velocity relative to the ground? west of north (C) How long does the boat take to cross the river?The velocity of the wind relative to the water is crucial to sailboats. Suppose a sailboat is in an ocean current that has a velocity of 2.3 m/s in a direction 28° east of north relative to the Earth. It encounters a wind that has a velocity of 4.5 m/s in a direction of 45° south of west relative to the Earth. What is the magnitude of the velocity of the wind relative to the water, in meters per second? What is the angle of the velocity of the wind relative to the water degrees south of west?