Horizontal and vertical velocity components

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To find the vertical component of the dolphin's velocity, the horizontal velocity of 7.7 m/s and the angle of 32° are used. The equation for the horizontal component, cos(32°) = (7.7 m/s) / hypotenuse, indicates a need to calculate the hypotenuse first. The incorrect attempt at the vertical component was 4.63 m/s, suggesting a miscalculation. Providing full calculations will help identify errors and facilitate assistance in solving the problem accurately.
IAmSparticus
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Homework Statement


A dolphin leaps out of the water at an angle of 32° above the horizontal. The horizontal component of the dolphin's velocity is 7.7 m/s. Find the magnitude of the vertical component of the velocity.


Homework Equations


Vy=V0y + ayt


The Attempt at a Solution


4.63 m/s is incorrect.

cos(32 degrees) = (7.7 m/s) / hypotenuse
 
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Hi IAmSparticus! :wink:

Show us your full calculations, and then we can see what went wrong, and we'll know how to help! :smile:
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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