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Acceleration with constant force...

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Peter...
Posted: Fri Nov 06, 2009 11:10 am
Guest
Please, since, constant force F = dp/dt = ma, how can I find
mathematically the constant acceleration a of an object if I know its
mass is m, its displacement is x, and the time is t? What if the mass
is 2m, or m/2, and the displacement x/2, or 2x, while the time remains
the same t? Thank you.
 
Peter...
Posted: Fri Nov 06, 2009 11:48 am
Guest
On Nov 6, 4:24 pm, "Greg Neill" <gneil... at (no spam) MOVEsympatico.ca> wrote:
[quote]Peter wrote:
Please, since, constant force F = dp/dt = ma, how can I find
mathematically the constant acceleration a of an object if I know its
mass is m, its displacement is x, and the time is t? What if the mass
is 2m, or m/2, and the displacement x/2, or 2x, while the time remains
the same t? Thank you.

You should probably be asking this in a physics newsgroup.

But since you're here, what do you know about the
relationships between acceleration, velocity, and
distance?
[/quote]
I know that a(t) = d^2 x/dt^2.
 
Greg Neill...
Posted: Fri Nov 06, 2009 4:24 pm
Guest
Peter wrote:
[quote]Please, since, constant force F = dp/dt = ma, how can I find
mathematically the constant acceleration a of an object if I know its
mass is m, its displacement is x, and the time is t? What if the mass
is 2m, or m/2, and the displacement x/2, or 2x, while the time remains
the same t? Thank you.
[/quote]
You should probably be asking this in a physics newsgroup.

But since you're here, what do you know about the
relationships between acceleration, velocity, and
distance?
 
Greg Neill...
Posted: Fri Nov 06, 2009 4:56 pm
Guest
Peter wrote:
[quote]On Nov 6, 4:24 pm, "Greg Neill" <gneil... at (no spam) MOVEsympatico.ca> wrote:
Peter wrote:
Please, since, constant force F = dp/dt = ma, how can I find
mathematically the constant acceleration a of an object if I know its
mass is m, its displacement is x, and the time is t? What if the mass
is 2m, or m/2, and the displacement x/2, or 2x, while the time remains
the same t? Thank you.

You should probably be asking this in a physics newsgroup.

But since you're here, what do you know about the
relationships between acceleration, velocity, and
distance?

I know that a(t) = d^2 x/dt^2.
[/quote]
So, if you were to start with acceleration, how would
you find the velocity with respect to time? Then, from
velocity, how would you find the distance? (Hint: you
need to consider antidifferentiation (integration))
 
 
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