A student has to escape from his girlfriend's dormitory through a window that is 15.0 m above the ground. He has a 24-m rope, but it will break when the tension exceeds 360 N, and the student weighs 600 N. The student will be injured if he hits the ground with a speed greater than 8 m/s.

(a) Show that he cannot safely slide down the rope.

(b) Find a strategy using the rope that will permit the student to reach the ground safely.