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

5-160.

Bob's cat Alice does wind sprints up and down the hallway of his apartment. Suppose that

*t*minutesinto her wind sprints, Alice's velocity (in ft/min) is given by the formula . Homework Help ✎ What is Alice's acceleration at

*t*= 6 seconds?What is Alice's displacement between

*t*= 4 and*t*= 24?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).