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(Figure 1)A swimmer wants to cross a river, from point A to point B, as shown in the figure. The distance d₁ (from A to C) is 200 m, the distance d₂ (from C to B) is 150 m, and the speed vr of the current in the river is 5 km/hour. Suppose that the swimmer's velocity relative to the water makes an angle of 0 = 45 degrees with the line from A to C, as indicated in the figure. To swim directly from A to B, what speed us, relative to the water, should the swimmer have? Express the swimmer's speed numerically, to three significant figures, in kilometers per hour.

(Figure 1)A swimmer wants to cross a river, from point A to point B, as shown in the figure. The distance d₁ (from A to C) is 200 m, the distance d₂ (from C to B) is 150 m, and the speed vr of the current in the river is 5 km/hour. Suppose that the swimmer's velocity relative to the water makes an angle of 0 = 45 degrees with the line from A to C, as indicated in the figure. To swim directly from A to B, what speed us, relative to the water, should the swimmer have? Express the swimmer's speed numerically, to three significant figures, in kilometers per hour.

University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
Problem 76P: A small plane flies at 200 km/h in still air. If the wind blows directly out of the west at 50 km/h,...
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(Figure 1)A swimmer wants to cross a river, from point A to point B, as shown in the figure. The distance d₁ (from A to C) is 200 m, the distance d₂ (from C to B) is 150 m, and the speed vr of the current in the river is 5 km/hour. Suppose that the swimmer's velocity relative to the water makes an angle of 0 = 45 degrees with the line from A to C, as indicated in the figure. To swim directly from A to B, what speed us, relative to the water, should the swimmer have? Express the swimmer's speed numerically, to three significant figures, in kilometers per hour.
Transcribed Image Text:(Figure 1)A swimmer wants to cross a river, from point A to point B, as shown in the figure. The distance d₁ (from A to C) is 200 m, the distance d₂ (from C to B) is 150 m, and the speed vr of the current in the river is 5 km/hour. Suppose that the swimmer's velocity relative to the water makes an angle of 0 = 45 degrees with the line from A to C, as indicated in the figure. To swim directly from A to B, what speed us, relative to the water, should the swimmer have? Express the swimmer's speed numerically, to three significant figures, in kilometers per hour.
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