Construct a possible graph for the x velocity versus time, v_x(t)

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The discussion focuses on constructing velocity versus time graphs based on a provided motion diagram. Participants are asked to create graphs for both x velocity (v_x(t)) and y velocity (v_y(t)), noting the uniform distance on the x-axis compared to the non-uniform distance on the y-axis. This difference suggests that the x velocity is likely constant while the y velocity may vary. The emphasis is on accurately reflecting the motion characteristics observed in the diagram. Understanding these relationships is crucial for accurately depicting the motion in the graphs.
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For the motion diagram given , sketch the shape of the corresponding motion graphs in Parts A to D. Use the indicated coordinate system. One unit of time elapses between consecutive dots in the motion diagram.
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I've already constructed an x vs t and y vs t graph please help me with these because i don't know how to do these.
Construct a possible graph for the x velocity versus time, v_x(t).
Construct a possible graph for the y velocity versus time, v_y(t).
 
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Look carefully - distance on x-axis varies uniformly whereas it does not on y-axis. Does this suggest something to you?
 
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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