Name ______________________ # ____ 
Plotting Data 
Scaling an axis Step 1  Largest data/(number of divisions) ex) 32 sec/20 boxes = 1.6 
Step 2  Round up: 1.6 becomes 2 
1. Base your answers to questions a through d on the information, diagram, and data table below.
The diagram shows a light string attached to mass m forming a pendulum of length
. One complete
vibration of the pendulum consists of mass m moving from position A to position
B and back to position A. 

Using the information in the data table, construct a graph on the grid provided on the right, following the directions below.
a) Mark an appropriate scale on the axis labeled “Time for 10 Vibrations.” b) Plot the data points for time for 10 vibrations versus length. c) Draw the bestfit curve. d) Determine the period of the 1.0meter pendulum. 

2. A car is traveling due north at 24.0 meters per second when the driver sees an
obstruction on the highway. The data table below shows the velocity of the car
at 1.0 second intervals as it is brought to rest on the straight, level highway. Using the information in the data table, construct a graph on the grid provided on your answer paper, following the directions below. The grid below is provided for practice purposes only. Be sure your final answer appears on your answer paper. 
a) Plot the data points for velocity versus time. [I] b) Draw the bestfit line. c) Using your graph, determine the acceleration of the car. [Show all calculations, including the equation and substitution with units.] 
The table lists the
kinetic energy of a 4.0kilogram mass as it travels in a straight
line for 12.0 seconds.
3. Directions: Using the information in the data table, construct a graph on the grid provided below, following the directions below.
a)
Mark an appropriate scale on the axis labeled "Kinetic Energy (J). 

d)
Compare the speed of the mass at 6.0 seconds to the speed of the mass at 10.0
seconds. [1]
e) Using dimensional analysis, show that the expression v^{2} /d has the same units as acceleration. [Show all the steps used to arrive at your answer.] [2] 

4. Using the information in the data table, construct a line graph on the grid provided in your answer booklet, following the directions below. 
e) What is the physical significance of the slope of the graph? ___________ 
a)
Plot the data points for power versus current. b) Draw the bestfit line. c) Using your graph, determine the power delivered to the circuit at a current of 3.5 amperes. ___________ d) Calculate the slope of the graph. [Show all calculations, including the equation and substitution with units.]

5.
Base
your answers to questions a through d on the information and
data table below. c)
Using your graph, determine the time in seconds it would take this
pendulum to make one complete swing if it were 0.200 meter long. The period of a pendulum is related to its length by the formula: where g represents the acceleration due to gravity. d) Explain how the graph you have drawn could be used to calculate the value of g. [You do not need to perform any actual calculations.] [1]



6. Base your answers to
questions a through d on the information and data table below. An experiment
was performed using various lengths of a conductor of uniform crosssectional
area. The resistance of each length was measured and the data recorded in the
table below. Directions (a – c): Using the information in the data table, construct a graph on the grid provided in your answer booklet, following the directions below. 

a.
Mark an appropriate scale
on the axis labeled "Length (m)."
b.
Plot the data points for resistance versus length. d. Calculate the slope of the bestfit line. [Show all work, including the equation and substitution with units.]
