Accurate position change for accelerating objects


by Droctagonopus
Tags: accelerating, accurate, change, objects, position
Droctagonopus
Droctagonopus is offline
#1
Jun25-13, 11:25 AM
P: 28
If an object is subject to different forces at different times and these forces are totally unpredictable (the force at any instant after the current time cannot be predicted). How would we make the position change due to acceleration as accurate as possible?

I have chosen a method but I've encountered a problem.
Use [itex]x_{2}=\frac{1}{2}at^{2}+vt+x_{1}[/itex] where a is the instantaneous acceleration, v is the instantaneous velocity, [itex]x_{1}[/itex] is the position at the current time and t is a very small time interval. However, I need a way to find the same position value after unequal time intervals. Meaning that if I take a single 2 ms interval in one case and two 1 ms intervals in another, the final value doesn't have to be too accurate but it has to be the same for both cases. Is there an efficient way to do this?
Phys.Org News Partner Physics news on Phys.org
Physicists design quantum switches which can be activated by single photons
'Dressed' laser aimed at clouds may be key to inducing rain, lightning
Higher-order nonlinear optical processes observed using the SACLA X-ray free-electron laser
mfb
mfb is offline
#2
Jun25-13, 05:33 PM
Mentor
P: 10,813
You will need some model how your accelerations look like. Different step sizes are not an issue with your formula, if you know an average acceleration within (small) timesteps.


Register to reply

Related Discussions
Two objects, one accelerating downwards onto another General Physics 3
Accurate tracking of position at walking speed using an accelerometer General Physics 1
Most accurate measurements of particle position? General Physics 40
Most accurate measurements of particle position? General Physics 0