A bead on a wire has an acceleration that is linear with time: a = kt, where k is equal to 0.75 cm / s3 and t is given in seconds. If the bead has an initial velocity of 1 cm / s, what is its velocity 3 seconds after the motion begins?

Hint: not knowing what your level of math expertise is, I can offer two suggestions:

1. If you know some calculus, what do you get if you integrate the the acceleration equation with respect to time and use the boundary condition you've been given?
2. If you are in high school and haven't had calculus yet, you should be aware that change in velocity can be calculated from the area under the acceleration curve.

Can you take it from here?