Tarzan, in one tree, sights Jane in another tree. He grabs t…

Tarzan, in one tree, sights Jane in another tree. He grabs the end of a vine with length 23 m steps off his tree limb, and swings down and then up to Jane’s open arms. When he arrives, his vine makes an angle of 30o with the vertical with a speed of 9.00 m/s.  How high above Jane is Tarzan when he steps off the tree limb?  

Three identical balls are thrown from the top of a building,…

Three identical balls are thrown from the top of a building, all with the same initial speed.  The first ball is thrown horizontally, the second is thrown at some angle above the horizontal, and the third is thrown at some angle below the horizontal.  Neglecting air resistance, rank the speeds of the balls as they reach the ground from fastest to slowest. (You must upload detailed work to back up your selection to get credit).