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10-157.

Meg and Jack are racing their frogs Dwayne and Jerry.  10-157 HW eTool (Desmos)Homework Help ✎

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

Use a calculator to evaluate this integreal: $v_{avg}=\frac{1}{18-0}\int_0^{18}v(t)dt$

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

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

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