AP Physics--Graphing

Graphing AssignmentDue July 6, 2012GRAPHING AND THE TI-89 CALCULATORIn this next section, rather than graphing by hand and drawing best-fit lines to determine slope, you will learn to use the“Data-Matrix” App on your TI-89 calculator to enter data, to create a graph of the data, and to use linear regressionfunction to determine the slope. Follow the steps attached to the back of this packet to help you answer thequestions.PROBLEM 4Below is data collected in an experiment to determine the equation for kinetic energy. The kinetic energy values wereobtained be applying the conservation of energy to a cart launched by a spring with a known spring constant.x (m) v 1 (m/s) v 2 (m/s) v 3 (m/s) v ave (m/s) v 2 ave (m/s) 2 E k (J)0 0 0 0 00.0100 0.0621 0.0538 0.0568 0.001290.0150 0.0921 0.0953 0.0977 0.002890.0200 0.135 0.134 0.134 0.005140.0250 0.170 0.174 0.176 0.008030.0300 0.208 0.212 0.206 0.01160.0350 0.246 0.243 0.243 0.01570.0400 0.279 0.277 0.279 0.0206a. Fill in the Blank Columns and enter Average Velocity, Average Velocity Squared, and Kinetic Energyinto the Data Matrix App in the TI-89.b. Plot Kinetic Energy on the y-axis and Average Velocity on the x-axis.* What is the shape of the graph? Write the answer below.c. Plot Kinetic Energy on the y-axis and Average Velocity Squared on the x-axis.* What is the shape of the graph? Write the answer below.d. Based on your observations, determine the slope of the linear plot using the linear regression capabilitiesof your TI-89. Write the value below.e. Based on your observations, what is the KE equation (circle one)? ½ mv 2 ½ mvf. Using your slope for the linear plot, what is the mass of the object used in this study? Write the valuebelow.g. If the elastic energy associated with a spring is ½ kx 2 , then what was the average value for the springconstant, k? Write the value below.4