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Bob’s cat Alice does wind sprints up and down the hallway of his apartment. Suppose that minutes into her wind sprints, Alice’s velocity (in ft/min) is given by the formula .

  1. What is Alice’s acceleration at minutes?

    Acceleration is the derivative of velocity.

  2. What is Alice’s displacement between and ?

    Displacement is the area under a velocity graph. Total distance is the area under a speed graph.

  3. What is the total distance traveled by Alice between and ?

    Refer to the hint in part (b).