What does the slope of a speed vs. time graph represent?

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The slope of a speed vs. time graph represents the acceleration of an object. Participants in the discussion clarify that the slope indicates instantaneous acceleration rather than average acceleration. There is some debate about terminology, but the consensus leans towards instantaneous acceleration being the correct interpretation. Understanding the axes of the graph is crucial for this determination. Overall, the key takeaway is that the slope directly correlates to how speed changes over time.
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Homework Statement


Complete the sentence:
If you are presented with a graph of speed vs time the slope of the graph at any point will represent the ... ... of an object.

Homework Equations


n/a


The Attempt at a Solution



I think the answer would be acceleration or possibly average acceleration(?)as there are two spaces to fill in. Any clearing up on this would be much appreciated.

Thanks
 
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I think It is better to go back to the definition of the slope, and you should determine which is the vertical axis and which is the horizontal axis ..
 
it will be acceleration
because as the time will pass the speed increases or decreases as it is a slope
n as there is only 1 slope so average acceleration? i don't think so...
i'll go for acceleration
 
no it's instantaneous acceleration.
 
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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