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Calculus Problem:
Go Speed Racer!


Welcome to the 4th (and final) calculus question of PCPOW!
Entries will be due by 9:00 pm PDT on Sunday, Feb. 4th, 2006
Good luck!


Speed Racer, that wonderful cartoon character from the 1960's, has evolved into a drag racer. His track is a straight track measuring 200 meters long from start to finish. His velocity has been measured by his close friend Trixie to be: v(t) = et - 1

  1. Find his velocity and acceleration when he is halfway through the race. Show how you arrived at this answer and remember to include units!
  2. How long does it take Speed Racer to finish the race? Show how you arrived at this answer.
  3. What is his velocity when he finishes? Remember to include units and work!
  4. What is his acceleration when he finishes? Remember to include units and work!

Listen to the Speed Racer theme song here!