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.)

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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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 (Vx) = 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:

-Vy2-uy2=2(-g)hVy=2(9.81)(5.10)Vy=10.00 m/s

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