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Required information A dolphin wants to swim directly back to its home bay, which is 0.800 km due west. It can swim at a speed of 6.40 m/s relative to the water, but a uniform water current flows with speed 2.83 m/s in the southeast direction. How long does it take for the dolphin to swim the 0.800-km distance home?

Required information A dolphin wants to swim directly back to its home bay, which is 0.800 km due west. It can swim at a speed of 6.40 m/s relative to the water, but a uniform water current flows with speed 2.83 m/s in the southeast direction. How long does it take for the dolphin to swim the 0.800-km distance home?

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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## Dolphin Navigation Problem ### Required Information: A dolphin wants to swim directly back to its home bay, which is 0.800 km due west. It can swim at a speed of 6.40 m/s relative to the water, but a uniform water current flows with a speed of 2.83 m/s in the southeast direction. ### Challenge Question: How long does it take for the dolphin to swim the 0.800-km distance home? ### Explanation: To solve this problem, consider both the speed of the dolphin and the effect of the water current. We need to calculate the resultant velocity and determine the time taken for the dolphin to reach its destination considering the impact of the current. This involves breaking down the vectors and finding the appropriate components to solve for the time. This example illustrates how to apply vector addition and kinematics in problem-solving.
Transcribed Image Text:## Dolphin Navigation Problem ### Required Information: A dolphin wants to swim directly back to its home bay, which is 0.800 km due west. It can swim at a speed of 6.40 m/s relative to the water, but a uniform water current flows with a speed of 2.83 m/s in the southeast direction. ### Challenge Question: How long does it take for the dolphin to swim the 0.800-km distance home? ### Explanation: To solve this problem, consider both the speed of the dolphin and the effect of the water current. We need to calculate the resultant velocity and determine the time taken for the dolphin to reach its destination considering the impact of the current. This involves breaking down the vectors and finding the appropriate components to solve for the time. This example illustrates how to apply vector addition and kinematics in problem-solving.
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