A particle P moves with constant acceleration (2i-3j) ms^-2. At time t seconds, its velocity is v ms^-1. When t=0, v=-2i+7j.
(a) Find the value of t when P is moving parallel to the vector i.
(b) Find the speed of P when t=3.
(c) Find the angle between the vector j and the direction of motion of P when t=3.