How Do You Calculate Instantaneous Acceleration Without Calculus?

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To calculate instantaneous acceleration without calculus, one can determine the slope of the velocity curve at a specific time, such as 10 seconds. The user initially struggled with the concept but sought clarification on whether the slope at that point was 1.6. After some contemplation, they realized the solution was simpler than anticipated. The discussion emphasizes the importance of interpreting graphical data to find slopes for acceleration calculations. Understanding how to extract information from graphs is crucial for solving such physics problems.
slappy
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Homework Statement



Find the instantaneous acceleration at 10s (see graph in attachment)

Homework Equations



a = dv/dt

dt----0

The Attempt at a Solution



I am taking an algebra based physics class and have never taken calculus before -_-
I tried 0.0 and 1.0 so far
Help on this problem would be very appreciated.
 

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So what's the slope of the velocity curve at t = 10 seconds?
 
Is it 1.6?

edit: got it, was overthinking this problem lol
 
slappy said:
Is it 1.6?

You have to ask? :frown: You have the graph, surely you can calculate the slope from it.
 
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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