1. The problem statement, all variables and given/known data At time t=0, a particle is located at the point (1,2,3). It travels in a straight line to the point (4,1,4), has speed 2 at (1,2,3) and constant acceleration 3i-j+k. Find an equation for the position vector r(t) of the particle at time t. 2. Relevant equations 3. The attempt at a solution So I'm not exactly sure what to do with this information. I was thinking maybe integrate the acceleration vector to get the velocity vector, and the integrate that to get the position. But if it were that simple, then why would they give me all that other information? I'm very confused by this problem, please give me a hint on how to start!