According to ABC's Wide World of Sports show, there is the "Thrill of victory and the agony of defeat". On March 21 of 1970, Vinko Bogataj was the Yugoslavian entrant into the World Championships held in former West Germany. By his third and final jump of the day, heavy and persistent snow produced dangerous conditions along the slope. Midway through the run, Bogataj recognized the danger and attempted to make adjustments in order to terminate his jump. Instead, he lost his balanced and tumbled and flipped off the slope into the dense crowd. For nearly 30 years thereafter, footage of the event was included in the introduction of ABC's infamous sports show and Vinco has become known as "The agony of defeat" icon.

a. Determine the speed of 87-kg Vinco after skiing down the hill to a height which is 49 meters below the starting location in m/s.

b. After descending the 49 meters, Vinko tumbled off the track and descended another 12 meters down the ski hill before finally stopping. Determine the change in potential energy of Vinko from the top of the hill to the point at which he stops. (+ would be a gain and - would be a loss) (Joules)

c. Determine the amount of cumulative work done upon Vinko's body as he crashes to a halt. (Consider whether the work is + or -) (Joules)