Find the velocity and displacement of the particle at t=t1>0

[jazzyfizzle]

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?

 

[Mindscrape]

Yes, it can be set equal to ma, or maybe even better bt=m*dv/dt, which if you don't know diff eq (which I'm assuming you don't) will lead to

$$\int \frac{b}{m} t dt = \int dv$$

Hopefully you know how to integrate :)

A similar procedure to obtain the integrands for displacement can be used.