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I can't find a function of this data, since the cart is already in motion. Please help a noobie at physics!!

Time is increasing from 0.0 to 2.0 by .1

x (in m) is 5.0 at 0.0 and 49.0 at 2.0 seconds

the cart thats moving is 5.0 kg intially traveling at some unknown velocity on a horizontal frictionless surface. Starting at t=0s, a constant force F, is applied for two seconds, after these two seconds the force is no longer applied.

so, the question is,

Find an equation for position as a function of time that fits the data. Then find an equation for the cart's velocity as a function of time.

Any help would be much appreciated!

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# Position as a function of time

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