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Ariel (the mermaid) can swim at a top speed of 26m/s in calm water. a. Ariel is currently swimming at a leisurely pace of 12m/s below the surface at a bearing of 57° west of north. Assume the y axis points north and the x axis points east. Determine the z and y components of her velocity vector. b. Still swimming at the same speed and direction as part a, Ariel enters an area of the ocean where there is now a current of 4.1m/s on a bearing of 70° west of south. Determine the z and y components of her NET velocity vector. (Add the two vectors.)

Ariel (the mermaid) can swim at a top speed of 26m/s in calm water. a. Ariel is currently swimming at a leisurely pace of 12m/s below the surface at a bearing of 57° west of north. Assume the y axis points north and the x axis points east. Determine the z and y components of her velocity vector. b. Still swimming at the same speed and direction as part a, Ariel enters an area of the ocean where there is now a current of 4.1m/s on a bearing of 70° west of south. Determine the z and y components of her NET velocity vector. (Add the two vectors.)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Hi! I am having trouble with the Ariel problem. Thank you I’m advance
c. Later (separate from part a and b), Ariel is swimming along the surface in a part of the ocean where the current flows at 3.6m/s at a bearing of 40° south of east. There is also a large wind pushing on her at 6.7m/s in a direction 35° west of north. Ariel's NET velocity (her own velocity plus wind plus current) is 12m/s at a bearing of 35° north of east. Determine the z and y components of Ariel's individual velocity. d. (The current and wind remain the same as part c.) Ariel then sees a shark and turns and faces a different unknown direction. Determine the direction that she needs to swim at top speed (because, you know..shark) so that her NET velocity vector will point due west. e. Determine Ariel's net speed in part d. © 2022 david ring Trig Physics
Transcribed Image Text:c. Later (separate from part a and b), Ariel is swimming along the surface in a part of the ocean where the current flows at 3.6m/s at a bearing of 40° south of east. There is also a large wind pushing on her at 6.7m/s in a direction 35° west of north. Ariel's NET velocity (her own velocity plus wind plus current) is 12m/s at a bearing of 35° north of east. Determine the z and y components of Ariel's individual velocity. d. (The current and wind remain the same as part c.) Ariel then sees a shark and turns and faces a different unknown direction. Determine the direction that she needs to swim at top speed (because, you know..shark) so that her NET velocity vector will point due west. e. Determine Ariel's net speed in part d. © 2022 david ring Trig Physics
3 WALL-E pushes a box up a ramp that is tilted at an angle of 0 = 40° above the horizontal, shown below. He pushes with a horizontal force of 185N towards the right on the box, as shown below. Use trigonometry to determine the z and y components of the force using: a. a standard coordinate system: b. a coordinate system tilted so that the x axis points up the plane. 4 Ariel (the mermaid) can swim at a top speed of 26m/s in calm water. a. Ariel is currently swimming at a leisurely pace of 12m/s below the surface at a bearing of 57° west of north. Assume the y axis points north and the x axis points east. Determine the a and y components of her velocity vector. b. Still swimming at the same speed and direction as part a, Ariel enters an area of the ocean where there is now a current of 4.1m/s on a bearing of 70° west of south. Determine thea and y components of her NET velocity vector. (Add the two vectors.) Trig Physics © 2022 david ring
Transcribed Image Text:3 WALL-E pushes a box up a ramp that is tilted at an angle of 0 = 40° above the horizontal, shown below. He pushes with a horizontal force of 185N towards the right on the box, as shown below. Use trigonometry to determine the z and y components of the force using: a. a standard coordinate system: b. a coordinate system tilted so that the x axis points up the plane. 4 Ariel (the mermaid) can swim at a top speed of 26m/s in calm water. a. Ariel is currently swimming at a leisurely pace of 12m/s below the surface at a bearing of 57° west of north. Assume the y axis points north and the x axis points east. Determine the a and y components of her velocity vector. b. Still swimming at the same speed and direction as part a, Ariel enters an area of the ocean where there is now a current of 4.1m/s on a bearing of 70° west of south. Determine thea and y components of her NET velocity vector. (Add the two vectors.) Trig Physics © 2022 david ring
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