1. For 0 s ts 8, a particle moves along the x-axis so that its velocityv at time t, for given by v(t) = eO-Z' - 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 timet = 6. Part C: Find the average speed of the particle over the interval 05 ts 2