I need help with these problems please, and please answer all parts of the problems.

The position of a particle in the xy-plane at time t is r(t) = (t 5) i + (t2 - 2) j. Find an equation in x and y whose graph is the path of the particle. Then nd the particle's velocity and acceleration vectors at t = 3. The equation for the path of the particle is y= 1|: 1E The path r(t) = (4 sin t) i+ (4 cos t)j describes motion on the circle x2 +y2 = 16. Find the particle's velocity and acceleration vectors att= z and E' and sketch them as vectors on the curve. . K . . . The velocity vector at t = I Is v I = ( I+ ]. (Type exact answers, using radicals as needed.)