For 0 t 8, particle moves along the X-axis so that its velocity v at time t, for given by vt) =…

For 0 lt; t lt; 8, particle moves along the X-axis so that its velocity v at time t, for given by vt) = e0.2t _ 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 lt; t lt;

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