Interpreting first & second derivatives. Motion problems: position, velocity, acceleration.

1. The Calculus
of Motion
Street Lomo by flickr user frcsyk

2. The graph to the right shows the
distance travelled by a car over time.
(a) When is the car moving fastest?
(b) Is the car speeding up or slowing
down on the interval ?
(c) Is the car speeding up or slowing
down on the interval ?

3. The graph of ƒ is shown at
right.
(a) Where is ƒ' positive?
(b) Where is ƒ'' positive?
(c) What are the critical
numbers of ƒ?

4. The graph of ƒ' is shown at
right.
(a) Where is ƒ increasing?
(b) If ƒ(1) = 0, is ƒ(0)
positive or negative?
Explain.