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Name: An eagle is flying horizontally at a speed of 2.60 m/s when the fish i
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Description: An eagle is flying horizontally at a speed of 2.60 m/s when the fish in her talons wiggles loose and falls into the lake 5.10 m below. Calculate the velocity (in m/s) of the fish relative to the water when it hits the water. (Assume that the eagle is

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 9P

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An eagle is flying horizontally at a speed of 2.60 m/s when the fish in her talons wiggles loose and falls into the lake 5.10 m below. Calculate the velocity (in m/s) of the fish relative to the water when it hits the water. (Assume that the eagle is flying in the +x-direction and that the +y-direction is up.)

Expert Solution

Step 1

Given information:

The Horizontal speed of the eagle (V_x) = 2.60 m/s

The height at which it is flying (h) = 5.10 m

Now, let us calculate the vertical velocity of the fish by the time it reaches the water:

${- V_{y}}^{2} - {u_{y}}^{2} = 2 (- g) h V_{y} = \sqrt{2 (9.81) (5.10)} V_{y} = 10.00 m / s$

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