Two skiers are racing each other in a slalom event. You are to perform an analysis of their speed, acceleration and distance covered over the duration of the race. Firstly, you will be given two quartic polynomial descriptions allowing you to model the distance at any point (as a function of time). Using these equations you will need to determine: - an equation which describes the velocity of each skier; - an equation which describes the acceleration of each skier; - at what times the skiers are stationary; - the maximum velocity of each skier within the allotted time; - find the total distance covered by each skier within the allotted time.