7. A velocity/time graph for a rocket in the first 3 minutes of its motion starting from rest is given by v = 2t^3 + 5t^2 + 3t where the velocity is in m/s.
a) Using integration calculate the distance travelled between 4 and 9 seconds
b) Using Trapezoidal Rule calculate the distance travelled between 4 and 9 seconds
c) Compare the results obtained in questions 7a and 7b and comment on any differences. A diagram may be useful. Which of the methods is the most accurate?
