How to find Change in velocity on an Acceleration vs TIme Graph?

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To find the change in velocity from an acceleration versus time graph, one must calculate the area under the curve for each object during the specified time interval. The area represents the change in velocity, as acceleration is the rate of change of velocity over time. Understanding that the total area can be positive or negative depending on the graph's position relative to the time axis is crucial. The object with the largest absolute area will indicate the greatest change in velocity. Clarification on interpreting acceleration graphs is essential for solving the problem effectively.
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Homework Statement


The question is: Acceleration versus time graphs for five objects are shown below. All axes have the same scale. Which object had the greatest change in velocity during the interval?2. The attempt at a solution
Not sure how to start here I only know about distance over time, and velocity over time graphs not acceleration over time graphs.

If anyone could explain how to do this it would be great. Thanks in advanced!
 
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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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