What a drag! This is a true story. Note your answers will be approximations. A former student
Question:
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 28th, 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?
Expert Answer:
