# The Fundamental Theorem of Calculus: Position Primed Quiz

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!*

**The Fundamental Theorem of Calculus***v*(

*t*) graphed below.

If the hummingbird is 4 feet from its feeder at time *t* = 0 seconds, how far is the hummingbird from its feeder at time *t* = 5 seconds?

*v*(

*t*) graphed below, where

*t*is measured in hours. On which time interval(s) is the train traveling West?

*v*(

*t*) below. What is the fastest speed Ellen attains during her hour-long drive?

*t*= 0, 12, 15

*t*= 3, 6, 9

*t*= 3, 6, 9, 12

*t*= 0, 3, 6, 9, 12, 15

*v*(

*t*) given by the graph below.

After 10 seconds, how high in the tree is the cat?

*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?

*v*(

*t*) is graphed below. Find .

*v*(

*t*) is a velocity function on the time interval [

*a*,

*b*]. Select the best interpretation of the integral .

*t*=

*a*to

*t*=

*b*.

*t*=

*a*and

*t*=

*b*.

*a*,

*b*].

*a*,

*b*].

*s*(

*t*) is a position function with velocity

*v*(

*t*) =

*s*'(

*t*) on the interval [

*a*,

*b*]. Which of the following statements is true?