You did the integrals correctly. I think the problem is with the condition v(0)=i. You added 1 to the i component but notice that the j component is -cos(t), and -cos(0)=-1. You need the j and k vectors to have a 0 coefficient when t=0.
I'm not sure where I'm going wrong here. I'm given a particle's acceleration as a function of t, an initial velocity, and an initial position:
I have to find the particle's velocity v(t) so I integrated each component and added the initial velocity:
v(t) =
For some reason this is being marked wrong by the homework site. Can you tell me why? Am I not integrating correctly or adding the initial velocity incorrectly or something. Thanks very much for any help.