Equation relating mass, time, distance, velocity, and force?

[The Exestentialist]

I need to figure out an equation for the following situation: A force will be applied to an object with a certain mass. When the object has moved a certain distance over a certain time, it will have a certain velocity. I realize I wrote that out like a textbook question, but that's just to make it easier to understand. Believe me, I've done my fair share of googling and I can't seem to find anything which is leading me to believe that this is too many variables in one equation. Any help would be appreciated.

 

[beamie564]

Depending upon the information you have Newton's first two laws / equations of motion can be used to analyse this situation.

 

[The Exestentialist]

Depending upon the information you have Newton's first two laws / equations of motion can be used to analyse this situation.

Sorry, forgot to mention that in the initial post. Mass is 5.6664g, initial velocity of 0, final velocity is 100m/s, distance is variable, and time is 0.5s.

 

[beamie564]

Okay, so you need an equation to relate the mass, velocity, time and force? Is the force constant? How about v=u+at , with a=F/m
Does that satisfy your query?

 

[The Exestentialist]

Okay, so you need an equation to relate the mass, velocity, time and force? Is the force constant? How about v=u+at , with a=F/m
Does that satisfy your query?

Force is constant, yes. Can I ask what u represents in that equation?

 

[haruspex]

Force is constant, yes. Can I ask what u represents in that equation?

It is initial speed.
Google SUVAT. There are five standard equations for motion in one dimension under constant acceleration. Each involves four of the same five variables (from which the acronym SUVAT is taken). The trick is to figure out which three you know, which you want to find, then pick the equation with those four.
In your problem, you are given that net force is constant. That tells you the acceleration is constant, so you can use SUVAT.

 

[The Exestentialist]

It is initial speed.
Google SUVAT. There are five standard equations for motion in one dimension under constant acceleration. Each involves four of the same five variables (from which the acronym SUVAT is taken). The trick is to figure out which three you know, which you want to find, then pick the equation with those four.
In your problem, you are given that net force is constant. That tells you the acceleration is constant, so you can use SUVAT.

You are a lifesaver. Thank you.