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A pilot in a small plane encounters shifting winds. He flies 26.0 km northeast, then 45.0 km due north. From this point, he flies an additional distance in an unknown direction, only to find himself at a small airstrip that his map shows to be 70.0 km directly north of his starting point. What were the length and direction of the third leg of his trip?
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- You fly 32.0 km in a straight line in still air in the direction 35.0° south of west. (a) Find the distances you would have to fly straight south and then straight west to arrive at the same point. (This determination is equivalent to finding the components of the displacement along the south and west directions.) (b) Find the distances you would have to fly first in a direction 45.0° south of west and then in a direction 45.0° west of north. These are the components of the displacement along a different set of axes—one rotated 450°.arrow_forwardA student drives 10 km to the north and then 20 km 30 degrees South of the east. By using the component method, what are the magnitude and direction of his displacement from the starting point?arrow_forwardSheila is captain of the Varsity cross country team. During the after-school practice on Tuesday, she led the team on the following run from school to a nearby park where they met the coach for a meeting: 0.68 miles, north; 1.09 miles east; 1.56 miles north; 0.32 miles, west. Determine the magnitude and direction of the team's resultant displacement.arrow_forward
- The pilot of a private plane flies 20.0 km in direction 60° north of east, then 30.0 km straight east, then 10.0 km straight north. How far and in what direction is the plane from the starting point? (Complete solution)arrow_forwardA plane leaves the airport in General Santos and flies 170 km at 68˚ east of north and then changes direction to fly 230 km at 48 ˚ south of east, after which it makes an immediate emergency landing in a pasture. When the airport sends out a rescue crew, in which direction and how far should this crew fly to go directly to this plane?arrow_forwardAn airplane flies 59 km at 30.0° east of north before turning to go 58 km due south and then finally, it flies 100 km at 30.0° north of west. How far is the plane from its starting point?arrow_forward
- A car travels 90 meters due north in 15 seconds. Then the car turns 32° west of north and travels 40 meters. What is the magnitude and direction of the car's resultant displacement? To answer this problem, what two methods will give us the accurate answer?arrow_forwardCan 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 westarrow_forwardA student drives 10 km to the north and then 20 km 30° S of E. By using the component method, what are the magnitude and direction of his displacement from the starting point?arrow_forward
- A pilot flies in a straight path for 1 hour 45 minutes. She then makes a course correction, heading 30 degrees to the right of her original course, and flies 2 hours 30 minutes in the new direction. If she maintains a constant speed of 340 mi/h, how far is she from her starting position? Give your answer to the nearest mile.arrow_forwardA car travels 12km due west, 15km due south and 45 km in a direction 50° north of east. Calculate the magnitude and direction of his resultant displacement. (a) The sum of the X components (EX) km (b) The sum of the Y components (Z) is = Km (c) The magnitude of the resultant displacement is Km (d) The direction (angle) of the resultant displacement in degrees) is = °, North of Eastarrow_forwardAs a test of orienteering skill, your physics class holds a contest in a large, open field. Each contestant is told to travel 20.8m due north from the starting point then 38 m due east and finally 18m in the direction 33° west of south. After the specified displacement, a contestant will find a silver coin hidden under a rock. The winner is the person who takes the shortest time to reach the location of the silver coin. Remembering what you learned in class, you run on a straight line from the starting point to the hidden coin. How far and in what direction do you run?arrow_forward
- College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegeGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill