So I have the problem:
A particle of mass m is at rest at t=0. A linearly increasing force F=bt is applied. Find the velocity and displacement of the particle at t=t1>0
What exactly is bt?
Can it be set equal to ma?
Ooh, well I never went back and added the first segment.. maybe that's where I went wrong ? .. and my algebra could be a little off too. I'll probably need to go back and double check that also.
Ok what I did was :
First I used x=v0t+1/2at^2 to find the distance traveled for the first segment before the force doubled
I plugged in a=(F/m) for the acceleration and v0=0 for the initial velocity
Then i got
x=1/2(F0/m)t^2
for the first segment
Then,
i used vf^2=vi^2+2ax to find the...