Gravitational Grand Prix: How is force calculated in relation to acceleration?

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Force is calculated as mass times acceleration, with the choice between average or instantaneous acceleration depending on the context. Instantaneous acceleration is used for calculating instantaneous force, while average acceleration is suitable for time-averaged force. If acceleration changes over time, the force will also vary accordingly. Understanding these nuances is crucial, as they impact the results of calculations. This complexity is often overlooked in traditional physics education.
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How do you calculate force? I know its mass times acceleration but do you use average acceleration or instantaneous acceleration at a certain point in time?
 
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Force causes acceleration. If the force is time varying, so will be the acceleration. If you want to calculate the instantaneous force, you use the instantaneous acceleration, but if you only need the time averaged force, you can use the average acceleration.
 
As said above, it depends which force you want. if you use the change of acceleration, you get the change of force. If you use accerlation at time X, you get force at time X. I always wondered why they never taught that in my physics class (that your bringing more than just variables with your equations).
 
So I know that electrons are fundamental, there's no 'material' that makes them up, it's like talking about a colour itself rather than a car or a flower. Now protons and neutrons and quarks and whatever other stuff is there fundamentally, I want someone to kind of teach me these, I have a lot of questions that books might not give the answer in the way I understand. Thanks

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