Employ the multiple-application Simpson’s rule to evaluate the vertical distance traveled by a rocket if the vertical velocity is given by

υ = 11t² – 5t                             0 ≤ t ≤ 10

υ = 1100 – 5t                           10 ≤ t ≤ 20

υ = 50t + 2(t - 20)²                   20 ≤ t ≤ 30