1. (10 points) Calculator may be used in solving. For 0 s t s 8, a particle moves along the x-axis so that its velocity v at time t, for given by v(t) = ed" - 1. The particle is at position x = 4 at time t = 0. Part A: Write, but do not evaluate, an integral expression that gives the total distance traveled by the particle from time t = 0 to time t = 5. Part B: Find the position of the particle at time t = 6. Part C: Find the average speed of the particle over the interval 0 s t $ 2