If then .I have a problem for uni that I don't really know how to approach. The problem is:

"The velocity of a particle at timet=v(t) = sinti+ costj- 10tk. What is the particle's acceleration,a(t) =dv/dtas a function of time? Given that att= 0 the particle is at (1,0,0), find its position at timet."

I understand the relationship between position, velocity and acceleration. i.e. - Ifx(t) is the position at timet, then the velocityv(t) =dx/dtand the accelerationa(t) =dv/dt. What I don't understand is how to treat the i, j and k in the expression? Just for my own sanity I'm thinking oftlike I'd usually think about anxvariable, but are i, j and k supposed to be treated as constants? If they didn't exist, I'd have no problem integrating/differentiatiating, but their occurence has completely thrown me off. Any help would be greatly appreciated.