# The Fundamental Theorem of Calculus

### Quizzes

1. |
A hummingbird flies away from its feeder with velocity v(t) graphed below.If the hummingbird is 4 feet from its feeder at time |

2. |
A train travels East with velocity v(t) graphed below, where t is measured in hours. On which time interval(s) is the train traveling West? -> (3,6) and (9,12) |

3. |
Ellen goes for an hour drive. Her velocity during this hour is given by the graph v(t) below. What is the fastest speed Ellen attains during her hour-long drive? -> 50 mph |

4. |
A cheetah's velocity is given by the graph below. At what times does the cheetah change direction? -> |

5. |
A cat starts 30 feet up in a tree and continues to climb up the tree with velocity v(t) given by the graph below.After 10 seconds, how high in the tree is the cat? -> 5 ft |

6. |
A racing snail has velocity given by the graph below. On what intervals is the snail slowing down? -> (1.5, 3), (4.5, 6), (7.5, 9), (10.5, 12), (13.5, 15) |

7. |
A cheetah is playing by running back and forth with velocity v(t) given by the graph below. Positive velocities indicate the cheetah is running North.After 5 seconds of running, how far is the cheetah from where it started? -> 0 ft |

8. |
The function v(t) is graphed below. Find . -> 32 |

9. |
The function v(t) is a velocity function on the time interval [a,b]. Select the best interpretation of the integral . -> The area of the velocity function on [a,b]. |

10. |
Assume that s(t) is a position function with velocity v(t) = s'(t) on the interval [a,b]. Which of the following statements is true? -> |