A physics postgraduate student is experimenting with a new nanomaterial that behaves a lot like a spring. The student (mass = 70.0kg; Δm=0.1kg) attaches the new material, wound up as an elastic rope (k=270N/m; Δk=1 ), to the ceiling of the atrium in the Physics Department and the other side is tied around his legs. The student is pulled down to a point where the cord is 5.000 m (ΔL=0.001m) longer than its unstretched length, then released. Where is the student 2.0 s later and what is the uncertainty in this position? What is the student’s velocity 2s later – no uncertainty required here. Hint: assume no uncertainty on g