What a drag! This is a true story. Note your answers will be approximations.

A former student of mine, Nick, drag raced at Firebird International Raceway on the weekends and after the races they would give him a printout of his race. The actual print out from October 28^th, 2006 has this data.

Car # 1690

Reaction Time	0.02 seconds
60 feet mark	1.724 seconds
330 feet mark	5.185 seconds
1/8 mile mark	8.155 seconds
MPH – 83.85
1000 feet mark	10.663 seconds
1/4 mile mark	12.816 seconds
Final MPH – 105. 27

Plot the data using excel or some other plotting software.

Graph the given power function with your data points. Does itseem to fit well? Distance = 25.96884t^1.54177 Note:This is the position function!

The slip claims that his speed at the 1/8 mile mark is 83.85mph. Determine if that is accurate using the position equation inpart B. hint: You will want to take the derivative with the “powerrule” found in section 3.1.

Repeat part C using the final speed of 105.27.

Nick’s real question to me was, “At what time did I reach 100mph?” Help Nick out by answering that.

By the way, how does Nick’s average rate of speed for the entiretrip compare to his final finish line speed?