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10-139.

Meg and Jack are racing their frogs Dwayne and Jerry.

  1. If Dwayne’s velocity in feet per second during the race is given by the equation v(t) = –0.5(t + 2sin t – 11)2 + 6.05, determine Dwayne’s average velocity during 0 ≤ t ≤ 18. Describe your method.

  2. If Jerry’s distance from the starting line during the race is given by the equation s(t) = 1.5x + 0.2sin x2, determine Jerry’s average velocity during 0 ≤ t ≤ 18. Describe your method.

  3. When is each frog traveling at his/her average velocity?

Use a calculator to evaluate this integral.

In this case, average velocity is total distance divided by total time.