Problem 4. (1 point) Use the definite integral and the Fundamental Theorem of Calculus to solve the following problem. A particle moves along a line in such a way that its velocity at time t is 'u(t) = t2 + 3t 18 (measured in meters per second). (a) The displacement of the particle during the time period 1 S t g 5 is meters. (b) The distance traveled by particle during the time period 1 S t S 5 is meters