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Suppose the location of an object on a number line (where positive values are on the right and the units are meters) is given by

Suppose the location of an object on a number line (where positive values are on the right and the units are meters) is given by x(t) = t3 6t2 15

where t is in seconds. (a) What is the velocity of the object at time t? (b) What is the acceleration of the object at time t? (c) At what time is the object moving fasted to the left?

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