One of the most popular events at the 1998 Winter Olympics in Nagano, Japan, was the luge. In this event, competitors lie on their backs and slide down an iced track on small sleds. At times, luge riders travel more than
During one particular run, a competitor from Norway had the times and distances listed in the table below. The track is
Determine the average velocity of the competitor during the run.
average velocity given position
AROC slope of the secant line
The graph of the distance can be modeled by
using a quartic regression. Use your curve to approximate the velocity at sec, when the athlete completed the race. Convert your result to km/hr. Is your result reasonable?
If y = distance, what does
Graph the first derivative of your curve of best fit to represent the velocity. Explain its shape. What happens during the course of the run that helps explain its shape?
Does the Norwegian competitor ride his luge at a constant rate? How can you tell?