If anyone could explain how the following problem is done, I'd be really grateful!
Given the acceleration vector a(t), the initial position r(0) = r_0, and the initial velocity v(0)=v_0 of a particle moving in space, find the position vector r(t) at time t.
a(t) = 6ti - 5j + 12t^2 k
r_0 = 3i + 4j
v_0 = 4j - 5k