# Given a force equation and mass, find velocity

1. Sep 26, 2014

### gwhite00

1. The problem statement, all variables and given/known data

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 ti=0)

2. Relevant equations

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

3. The attempt at a solution

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?

2. Sep 26, 2014

### Staff: Mentor

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

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

Acceleration is not constant.

Last edited by a moderator: May 7, 2017
3. Sep 26, 2014