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Home > CALC > Chapter 5 > Lesson 5.5.1 > Problem 5-160

  1. Bob's cat Alice does wind sprints up and down the hallway of his apartment. Suppose that t minutes into her wind sprints, Alice's velocity (in ft/min) is given by the formula . Homework Help ✎

    1. What is Alice's acceleration at t = 6 seconds?

    2. What is Alice's displacement between t = 4 and t = 24?

    3. What is the total distance traveled by Alice between t = 2 and t = 8?

Acceleration is the derivative of velocity.

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

Refer to the hint in part (b).