CPM Homework Help : CALC Problem 5-160

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?

Hint (a):

Acceleration is the derivative of velocity.

Hint (b):

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

Hint (c):

Refer to the hint in part (b).