The position of a particle in the xy-plane at time t is r(t) = (t -1) i+ (t + 2) j. Find an equation in x and y whose graph is the path of the particle. Then find the particle's velocity and acceleration vectors at t = 2. .... . The equation for the path of the particle is y = x + 2x + 3. The velocity vector at t = 2 is v = (i+ji (Simplify your answers.)