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10-154.

An object moves along the x­-axis with an initial position of x(0) = 2. The velocity of the object when t > 0 is given by the equation .

  1. What is the acceleration of the object when t = 4?

  2. What is the total distance the object covers during the interval 0 ≤ t ≤ 4?

  3. What is the position of the object when t = 4?

This is v′(4).

This is x(4) where:

This is x(4) – x(0).