Finding average velocity from a velocity-time graph

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To find the average velocity from a velocity-time graph, calculate the area under the graph to determine total displacement. The total time can then be used to find the average velocity using the formula average velocity = total displacement / total time. It is not necessary to create a position-time graph for this calculation. The key steps involve interpreting the velocity-time graph and applying the appropriate equations. Understanding these concepts is essential for solving similar problems effectively.
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Homework Statement


Find the average velocity from the velocity-time graph:
V / t
3 / 0
3 / 2
2 / 2
2 / 3
1 / 3
1 / 4
0 / 4

Homework Equations





The Attempt at a Solution


Im not sure if i can find the average velocity from this graph or if i have to make a position-time graph??
 
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Draw velocity-time graph and find the area of the graph.
That gives you the total displacement. Total time known. From that find the average velocity.
 
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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