<![CDATA[Math Is Fun Forum / Approximating Velocity]]> 2021-04-14T23:57:24Z FluxBB https://www.mathisfunforum.com/viewtopic.php?id=26082 <![CDATA[Re: Approximating Velocity]]> Bob wrote:

The top table row starts with the label t and then the values 0.1, 0.01, 0.01 etc.

The second row will have the corresponding Distance (s) values calculated using the formula s = 5 - t^2

The final row will have the V values calculated using V = s / t

What you should observe is values of V getting closer and closer to a limit (the instantaneous velocity at the moment).

This process demonstrates the process known as differentiation from first principles.

Bob

Ok. I will work on creating the needed table.

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https://www.mathisfunforum.com/profile.php?id=223890 2021-04-14T23:57:24Z https://www.mathisfunforum.com/viewtopic.php?pid=418316#p418316
<![CDATA[Re: Approximating Velocity]]> The top table row starts with the label t and then the values 0.1, 0.01, 0.01 etc.

The second row will have the corresponding Distance (s) values calculated using the formula s = 5 - t^2

The final row will have the V values calculated using V = s / t

What you should observe is values of V getting closer and closer to a limit (the instantaneous velocity at the moment).

This process demonstrates the process known as differentiation from first principles.

Bob

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https://www.mathisfunforum.com/profile.php?id=67694 2021-04-13T08:08:34Z https://www.mathisfunforum.com/viewtopic.php?pid=418282#p418282
<![CDATA[Re: Approximating Velocity]]> Bob wrote:

This approach is exactly how differential calculus is developed.

The table will have a row for distance, one for time taken and one for velocity using V = D/T

Bob

Can you be more specific? I need you to further explain.

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https://www.mathisfunforum.com/profile.php?id=223890 2021-04-12T22:29:03Z https://www.mathisfunforum.com/viewtopic.php?pid=418275#p418275
<![CDATA[Re: Approximating Velocity]]> This approach is exactly how differential calculus is developed.

The table will have a row for distance, one for time taken and one for velocity using V = D/T

Bob

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https://www.mathisfunforum.com/profile.php?id=67694 2021-04-12T07:29:34Z https://www.mathisfunforum.com/viewtopic.php?pid=418264#p418264
<![CDATA[Approximating Velocity]]> An object in rectilinear motion moves according to the equation s = 5 − t^2 (s in centimeters and t in seconds). Approximate the velocity of the object at time
t_0 = 1 by letting t first equal 0.1, then 0.01, and finally 0.001.
What limit does the velocity appear to be approaching?
Organize the results in a table.

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https://www.mathisfunforum.com/profile.php?id=223890 2021-04-12T00:46:26Z https://www.mathisfunforum.com/viewtopic.php?pid=418251#p418251