Base your answers to questions 27 through 30 on the information and data table below. The spring in a dart launcher has a spring constant of 140 newtons per meter. The launcher has six power settings, 0 through 5, with each successive setting having a spring compression 0.020 meter beyond the previous setting. Dur- ing testing, the launcher is aligned to the vertical, the spring is compressed, and a dart is fired upward. The maximum vertical displacement of the dart in each test trial is measured. The results of the testing are shown in the table below. Data Table Power Spring Dart's Maximum Setting Compression (m) Vertical Displacement (m) 0.000 0.00 0.020 0.29 N - 0.040 1.14 3 0.060 2.57 0.080 4.57 on A 0.100 7.10 Directions (27-28): Using the information in the data table, construct a graph on the grid below. 27. Plot the data points for the dart's maximum vertical Dart's Maximum Vertical Displacement displacement versus spring compression. vs. Spring Compression 28. Draw the line or curve of best fit. 8.0 29. Using information from your graph, calculate the en- F 7.0- ergy provided by the compressed spring that causes the dart to achieve a maximum vertical displacement of 3.50 meters. [Show all work, including the equa- 6.0 tion and substitution with units.] 5.0- imum Vertical Displacement 4.0 3.0