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Solve the all parts of following question:

Question: A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x(t)= (alpha * t^2) - (beta * t^3), where alpha = 1.55m/s^2 and beta = 4.70 * 10^-2 m/s^3.

Part I: Calculate the average velocity of the car for the time interval t=0 to t1 = 2.00s.

Part II: Calculate the average velocity of the car for the time interval t=0 to t2 = 3.96s.

Part III: Calculate the average velocity of the car for the time interval t1 = 2.00s to t2 = 3.96s.

Please explain how you came to your conclusion.

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