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III) Now consider an object moving across a river so that it has two velocities with respect to the land on the sides of the river, i) the velocity of the river current ii) the velocity it has as it moves across the river. Velocities are properly described as vectors. The river flows with a velocity of 3 m/s and the boat moves in a direction perpendicular to the river current with a velocity of 6 m/s. (a) Draw a diagram of this situation and show the velocity vectors for the flowing river water and the motion of the boat with respect to the water. Hint: First imagine that the boat moves across a still body of water and then start the water moving. (b) Find the total velocity of the boat with respect to the land on the sides of the river graphically and then by adding x and y components.

III) Now consider an object moving across a river so that it has two velocities with respect to the land on the sides of the river, i) the velocity of the river current ii) the velocity it has as it moves across the river. Velocities are properly described as vectors. The river flows with a velocity of 3 m/s and the boat moves in a direction perpendicular to the river current with a velocity of 6 m/s. (a) Draw a diagram of this situation and show the velocity vectors for the flowing river water and the motion of the boat with respect to the water. Hint: First imagine that the boat moves across a still body of water and then start the water moving. (b) Find the total velocity of the boat with respect to the land on the sides of the river graphically and then by adding x and y components.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section: Chapter Questions
Problem 1RP: We mentioned in Section 7.5 that our algebraic treatment of vectors could be attributed, in part, to...
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III) Now consider an object moving across a river so that it has two velocities with respect to the land on the sides of the river, i) the velocity of the river current ii) the velocity it has as it moves across the river. Velocities are properly described as vectors. The river flows with a velocity of 3 m/s and the boat moves in a direction perpendicular to the river current with a velocity of 6 m/s. (a) Draw a diagram of this situation and show the velocity vectors for the flowing river water and the motion of the boat with respect to the water. Hint: First imagine that the boat moves across a still body of water and then start the water moving. (b) Find the total velocity of the boat with respect to the land on the sides of the river graphically and then by adding x and y components.
Transcribed Image Text:III) Now consider an object moving across a river so that it has two velocities with respect to the land on the sides of the river, i) the velocity of the river current ii) the velocity it has as it moves across the river. Velocities are properly described as vectors. The river flows with a velocity of 3 m/s and the boat moves in a direction perpendicular to the river current with a velocity of 6 m/s. (a) Draw a diagram of this situation and show the velocity vectors for the flowing river water and the motion of the boat with respect to the water. Hint: First imagine that the boat moves across a still body of water and then start the water moving. (b) Find the total velocity of the boat with respect to the land on the sides of the river graphically and then by adding x and y components.
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