Solving Mechanics Problem: Velocity X and Position X Function of Time t

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The discussion focuses on solving a mechanics problem involving a particle's velocity and position as functions of time, given a specific force function. The user is starting out in mechanics and seeks assistance with applying Newton's second law, which relates force to mass and acceleration. It is confirmed that integration is necessary to derive the velocity and position from the force function. Additionally, participants suggest posting similar questions in a designated subforum for better assistance. The conversation emphasizes the importance of understanding the integration process in mechanics problems.
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I am just starting out in Mechanics at my University. (Mechanincs is also known as statics and dynamics). I am having trouble working (what should be a simple) problem.

Here is the problem:

Find the velocity X(with 1 dot above the x) and the position X as a functin of the time t for a particle of mass m, which starts from rest at x=0 and t=0, subject to the following force functions:

Fx=f0+ct
where F0 and c are positive constants



Any help is greatly appreciated. :eek: :confused:
 
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Think Newton's second law;

F = ma = m\ddot{x}
 
Thanks, I wass thinking of Newton's 2nd, but you also have to integrate problem, correct?

Thanks for any help and Newton's confirmation :)
 
tralblaz said:
Thanks, I wass thinking of Newton's 2nd, but you also have to integrate problem, correct?

Thanks for any help and Newton's confirmation :)
Yes, you need to substitute the given expression in the equation for Newton's Second and integrate it to get the required answers.

Please post similar problems under the Introductory Physics subforum next time.
 
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