Two objects move in the xy -plane. At time t, the position of object A is given by x = 5t - 5, y = -1t - k, and the position of object B is given by x = 3t, y = t2 - 2t - 1.

(a) Find the value of k so that the two objects collide.

(b) At what value of t do the objects collide?

(c) At what point do the objects collide?