The Fundamental Theorem of Calculus
A whiny toddler is in the exact center of a 20-foot long room. At one end of the room is a lollipop and at the other end is a teddy bear. The toddler toddles back and forth with velocity given by the graph below. When velocity is positive, it means the toddler is moving towards the teddy bear.
(a) Describe the toddler's location at t = 2, 4, 6, and 10 seconds.
(b) How many times between t = 0 and t = 10 seconds will the toddler pass through the exact center of the room?
(c) Will the toddler eventually reach the lollipop, the teddy bear, or neither?