PLS DO ALL FAST (BOTTOM 2 MOST IMPORTANTLY)

_ Connections Starting from rest at pointA, a 50.0 kg person swings along a circular arc Emm a rope attached to a tree branch over a lake, as shown in the figure above. Point D is at the same height as point A. The distance from the point of attachment to the center of mass of the person is 6.4 m. Ignore air resistance and the mass and elasticity of the rope. (a) The center of mass of the person standing on the platform is at point A, 4.0 m above the surface of the water. Calculate the gravitational potential energy.' when the person is at pointA relative to the surface of the water. [2.5] (h) The center of mass of the person at point B, the lowest point along the arc, is 2.4 m above the surface of the water. Calculate the person's speed at point B, (Hint: conservation of mechanical energy} [1.5] {c} Suppose that the person swings from the rope a third time, letting go of the rope at point B. Calculate R, the horizontal distance moved from where the person releases the rope at point B to where the person hits the water. (Hint: initial angle of projectile motion is D) [2.5] (d) Compare the impact speed of the swimmer with the water surface when he lets go of the rope at point B and D. [2.5] Select the one that applies: Var 3' VDI' Var = Vor Var '5 Vor Justify your selection