### 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 minutes into her wind sprints, Alice's velocity (in ft/min) is given by the formula

What is Alice's acceleration at

seconds?Acceleration is the derivative of velocity.

What is Alice's displacement between

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

What is the total distance traveled by Alice between

and?Refer to the hint in part (b).