Given a force equation and mass, find velocity

[gwhite00]

Homework Statement

The force on a particle of mass 3.0 kg moving in one dimension at time t, is given by:

F = 9.0 +2.0t - 4.0t². What is the velocity of the particle? (Let v₀=0 and t_i=0)

Homework Equations

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I know to use F = ma for sure.

And I believe this is the motion equation I should be using, but I'm not completely sure: v = v₀ + at

The Attempt at a Solution

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I substituted in the given equation for F and the given mass into Newton's 2nd Law equation and solved for the acceleration.

I then further substituted in acceleration into the velocity equation and let v₀ = 0 and t = 0, which just appeared to make the velocity 0 m/s which doesn't seem correct.

Could someone point me in the correct direction?

 

[NascentOxygen]

Hi gwhite00. I see you are new here. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

F= ma can give you the acceleration vs time graph, then use integral calculus.

Acceleration is not constant.

 

[gwhite00]

Thanks NascentOxygen for your quick reply.

While I do know how to use integral calculus being in Calculus III, we are not actually using it in our class. So far my professor has only touched on derivational calculus.

I know from previous problem sets written by this professor that his calculus based problems don't even up with a integer answer so I know that t will be part of my result.

I'm just not sure if I'm using the correct equation of motion to achieve an answer of a velocity equation at time t as an answer.