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 $v(t)=-0.5(t+2\sin t-11)^2+6.05$, determine Dwayne’s average velocity during $0 ≤ t ≤ 18$.  Describe your method.

   Hint (a):

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

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.

   HINT (b):

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

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

   Hint (c):