Figure 10: River B VB VR A boat crosses a river of width 23.4 meters. The boat was traveling with a speed of 5.2 meters per second relative to the water. The river was moving to the right with a speed of vr = 3.5 m/s relative to the shore. The boat was traveling at an angle of theta = 0 = 56.5 degrees relative to the water away from the near shore. In other words, theta e is the angle between the velocity of the boat relative to the water and the velocity of the water relative to the shore. The situation is shown in figure 2, above. The boat left the near shore at point A and reached the opposite shore at point B (both indicated in the diagram above). Assume the shores of the river are parallel and straight, and all velocities are constant. Point B is a distance d downstream (to the right) from Point A. Calculate the distance d in meters.

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Chapter1: Units, Trigonometry. And Vectors
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Figure 10:
River
B
VB
VR
A boat crosses a river of width 23.4 meters. The boat was traveling with a speed of 5.2 meters per second
relative to the water. The river was moving to the right with a speed of vr = 3.5 m/s relative to the shore.
The boat was traveling at an angle of theta = 0 = 56.5 degrees relative to the water away from the near shore.
In other words, theta e is the angle between the velocity of the boat relative to the water and the velocity of the
water relative to the shore. The situation is shown in figure 2, above.
The boat left the near shore at point A and reached the opposite shore at point B (both indicated in the diagram
above). Assume the shores of the river are parallel and straight, and all velocities are constant. Point B is a
distance d downstream (to the right) from Point A. Calculate the distance d in meters.
Transcribed Image Text:Figure 10: River B VB VR A boat crosses a river of width 23.4 meters. The boat was traveling with a speed of 5.2 meters per second relative to the water. The river was moving to the right with a speed of vr = 3.5 m/s relative to the shore. The boat was traveling at an angle of theta = 0 = 56.5 degrees relative to the water away from the near shore. In other words, theta e is the angle between the velocity of the boat relative to the water and the velocity of the water relative to the shore. The situation is shown in figure 2, above. The boat left the near shore at point A and reached the opposite shore at point B (both indicated in the diagram above). Assume the shores of the river are parallel and straight, and all velocities are constant. Point B is a distance d downstream (to the right) from Point A. Calculate the distance d in meters.
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