Initial & Final Velocity on X-Axis: Why Equal?

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In projectile motion along the X-axis, the initial and final velocity values are often equal due to the absence of horizontal forces acting on the projectile. The only force influencing the motion is Earth's gravity, which acts downward, resulting in vertical acceleration. Consequently, the horizontal components of acceleration remain zero, leading to constant horizontal velocity. This principle explains why initial and final velocities on the X-axis remain unchanged during projectile motion. Understanding this concept is crucial for analyzing motion in physics.
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As far as motion on the X-Axis, why typically are the initial velocity and final velocity values the same?
 
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because the Force that causes acceleration (in projectile motion)
is the pull of Earth's gravity applied to the projectile.
This Force is Downward (by definition!) so the acceleration is, too.
So the other two acceleration components are zero.
 
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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