What determines the acceleration of an object in an infinite time frame?

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SUMMARY

The discussion centers on the principles of acceleration in an inertial frame of reference, specifically regarding an object, such as a pen, thrown with an initial force. According to Newton's second law, F = MA, the pen initially accelerates at 1 m/s² due to the applied force. However, once the force is removed, the pen ceases to accelerate and continues to move at a constant velocity. The concept of reaching 99% the speed of light is addressed, emphasizing that without continuous force, acceleration will stop, and the object will not achieve such speeds.

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Okay if I was in an inertial frame of reference where there are no forces involved. If I were throw a pen by exerting a force on it, I would give it an acceleration of let's say 1 m/s^2

F = MA
A = F / M

So say that pen drifted of into space forever, wouldn't it eventually accelerate to 99% the speed of light since it has an infinite amount of time to accelerate? If there are no other forces on the pen. Wouldn't the acceleration eventually stop, even if there are no other forces? and what determines when it will stop accelerating?
 
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zeromodz said:
Okay if I was in an inertial frame of reference where there are no forces involved. If I were throw a pen by exerting a force on it, I would give it an acceleration of let's say 1 m/s^2

F = MA
A = F / M

So say that pen drifted of into space forever, wouldn't it eventually accelerate to 99% the speed of light since it has an infinite amount of time to accelerate? If there are no other forces on the pen. Wouldn't the acceleration eventually stop, even if there are no other forces? and what determines when it will stop accelerating?

Once you let go of the pen it stops accelerating because there is no more applied force. it just goes on moving at a constant velocity.
 

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