Name _____________________________ Section (Period) _________________ Date __________________
Lab Partner(s) _____________________________________________________________________________
P A P E R R O L L E R C O A S T E R L A B
Calculating Average Speed of a Rolling Marble
INTRODUCTION AND OBJECTIVES
In a typical paper roller coaster, the speed of a marble will increase and decrease many times. In this activity, you will
nd the speed of the marble in different portions of a paper roller coaster. You will also nd the average speed of the
marble during the entire trip down the paper roller coaster.
EQUIPMENT NEEDED
completed Paper Roller Coaster
meter stick
pencil
calculator
string
PROCEDURE
I. Selecting starting and ending points.
Divide your paper roller coaster into three different
sections by placing marks on the tracks.
1. Label the beginning of the roller coaster with an
“A.” See the drawing below.
2. About 1/3 of the way down the roller coaster, label
the track with a “B.”
3. About 2/3 of the way down the roller coaster, label
the track with a “C.”
4. Label the end of the roller coaster with a “D.”
II. Measuring Distances between points
1. Measure the distance that the marble must travel to get from Point A to Point B. To do this, lay one end of
a string on the track at Point A. Stretch the string along the path that the marble will travel. Mark the string
where it meets Point B on the track. Remove the string from the track and measure the length of the string that
reached from Point A to Point B when it was lying on the track. Record the distance in meters in the data table.
2. Use the same procedure to measure the distance from Point B to Point C and the distance from Point C to
Point D. Record these distances in the data table.
3. Measure the amount of time it takes for the marble to roll from Point A to Point B. To do this, release the
marble at Point A and use a stopwatch to nd how long it takes for the marble to reach Point B. Record this
time in the data table. Repeat this procedure three times and record your results in the data table. Find the aver-
age for the three trials and enter that time in the data table.
4. Measure the amount of time it takes for the marble to roll from Point B to Point C. Do not release the marble
at Point B. Instead, release the marble at Point A again and start the stopwatch when it passes Point B. Stop the
timer when the marble passes Point C. Repeat for three trials and calculate the average.
©2012 Paper Roller Coaster Company
A
A
B
C
D
How to label the paper
roller coaster. We hope your roller
coaster is a little more interesting than this one!
5. Measure the amount of time it takes for the marble to roll from Point C to Point D. Do not release the
marble at Point C. Instead, release the marble at Point A again and start the stopwatch when it passes Point C.
Stop the timer when the marble reaches Point D. Repeat for three trials and calculate the average.
6. Calculate the average speed of the marble between Point A and Point B. Divide the distance between Point
A and Point B by the average amount of time that it took to get from Point A to Point B. Enter the speed of the
marble in the data table. Use the correct units in the table.
7. Calculate the average speed of the marble between Point B and Point C. Record your result in the table.
Repeat the same steps to calculate the average speed of the marble between Point C and Point D.
P A P E R R O L L E R C O A S T E R L A B
©2012 Paper Roller Coaster Company
III. Questions
1. Between which two points did the marble have the highest average speed? ____________________________
2. Why do you think that the marble was moving the fastest on this part of your roller coaster? ______________
__________________________________________________________________________________________
3. Between which two points did the marble have the lowest average speed? ____________________________
4. Why do you think that the marble was moving the slowest on this part of your roller coaster? _____________
__________________________________________________________________________________________
5. If you wanted to make a roller coaster on which the marble would have the slowest average speed from the top
to the bottom, how would you design it? _________________________________________________________
__________________________________________________________________________________________
__________________________________________________________________________________________
6. Calculate the average speed of the marble during the entire trip down the paper roller coaster.
TRIALS
AVERAGE
1 2 3
Distance from A to D
Time from A to D
Speed from A to D
TRIALS
AVERAGE
1 2 3
Distance A to B
Time from A to B
Speed between A and B
Distance B to C
Time from B to C
Speed between B and C
Distance C to D
Time from C to D
Speed between C and D