You are designing a slide for a water park. in a sitting position, park guests slide a vertical distance h down the waterslide, which has negligible friction. when they reach the bottom of the slide, they grab a handle at the bottom end of a 6.00 m-long uniform pole. the pole hangs vertically, initially at rest. the upper end of the pole is pivoted about a stationary, frictionless axle. the pole with a person hanging on the end swings up through an angle of 72.0◦, and then the person lets go of the pole and drops into a pool of water. treat the person as a point mass. the pole’s moment of inertia is given by i = 1ml2, where l = 6.00 m is the length of the 3 pole and m = 31.0 kg is its mass. for a person of mass 70.0 kg, what must be the height h in order for the pole to have a maximum angle of swing of 72.0◦ after the collision?