3. Mario needs to beat Bowser at their next race at the Mario Advance Raceway. He needs our help to perfect his “power- slide” capability on a difficult turn. The track has a turn measuring 132 ft, this is where he will “power- slide” The Turn.

4. Can Mario shorten his time around the turn from 12 seconds to 9 seconds based on the tire restrictions of 300 ft/sec? He would like to know the vector valued position function of the kart during the turn. He would like to see the simulation of the turn depicting velocity and acceleration.

5. Navigate through the Maple code.

6. Mario would feel this acceleration, answer is explained in Maple Code. He could make the turn in less time than 9 seconds, he can make the turn in 8.796 seconds.

7. Speed is the rate of motion, or equivalently the rate of change of distance. Speed is a scalar quantity with dimensions length/time; Speed is thus the magnitude component of velocity. velocity is defined as the rate of change of position. It is a vector physical quantity; both speed and direction are required to define it.

8. Images found using: http://images.google.com/imghp?hl=en Definitions from: en.wikipedia.org/wiki/Speed en.wikipedia.org/wiki/Velocity en.wikipedia.org/wiki/Centrifugal_force