3. Ben, 65kg. goes skiing over the Christmas holidays. He misses physics so much that he can't help but do experiments. He knows that the hill is at an altitude of 480 m and that the run is 800 m long. Starting from rest. he skis in a tuck position to the bottom trying to maximize his speed and the reaches a speed of 40 m/s. a) Using energy arguments, how fast could he be going at the bottom of hill? .b) How much energy was lost to the hill? In what form? ' 4 c) At what altitude should he have reached this speed? d) Using basic trigonometry. how far into his 800 m long run would this' be