What if Newton's laws were shifted by one time derivative?

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Agrasin
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What would be some important properties of a universe where Force = Mass * Jerk and objects stay in constant acceleration until acted upon by a net force? (if we ignore the fact that objects would reach the speed of light, and just deal with classical mechanics)
 
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First, objects would NOT reach the speed of light, although they would get close.

Your question basically is asking "if the laws of physics did not apply to A then what would the laws of physics say about A?". You can pretty much make up your own answers since they are not meaningful ini current science.