A 68-kg water skier is being pulled by a nylon (Young's modulus 3.7 x 109 N/m2) tow rope that is attached to a boat. The unstretched length of the rope is 15 m and its cross-section area is 1.8 x 10-5 m2. As the skier moves, a resistive force (due to the water) of magnitude 160 N acts on her; this force is directed opposite to her motion. What is the change in length of the rope when the skier has an acceleration whose magnitude is 0.43 m/s2?