Table 4. Velocity vs. Time Linear Fit Parameters Run # Slope Y-intercept Acceleration (units) la 1b 2 Table 5. Velocity vs. Time Linear Fit Parameter Definitions Coefficients Name of Physics quantity (i.e. position, distance, velocity, etc.) m (slope b (y-intercept) Insert x(t) and v(t) graphs for Runs 1-4 here. Run1: Cart speeds up while moving away from sensor Run2: Cart speeds up while moving towards sensor Run3: Cart slows down while moving away from sensor. Run4: Cart slows down while moving towards sensor PART 2: Free Fall After recording data from the video and fitting a curve of best fit to the x(t) graph and line of best fit to the v(t) graph, fill in the tables below. Table 6. Position vs. Time graph Curve Fit Parameters A B C Acceleration (units Table 7. Velocity vs. Time graph Linear Fit Parameters Slope Y-intercept Acceleration (units) Table 8. (Use Logger Pro to calculate mean time and uncertainty from the time given) Mean Time (units) Uncertainty (units) 3DATA ANALYSIS (10 points): the section includes sample calculations and error analysis. Be sure to include equations! PART 2: Free Fall Run A: Calculate the percent discrepancy between accepted value of gravitational acceleration and your experimental Run B: result: From the average (mean) time of fall, calculate the experimental gravitational acceleration. Show equations and calculations. Knowing that the uncertainty in height measurement is All = 0.02 m and the average human response time is At 2 0.2 s, estimate the uncertainty in your experimental g. Show equations and calculations. RESULTS (3 POINTS): PART 1: Acceleration (units) Run it Position vs. Time Velocity vs. Time Direction of acceleration and graph graph velocity compared to each other la lb 2 3 4 PART 2: Free Fall Part: (gravitational acceleration i error) (units) 2A 2B DISCUSSION AND CONCLUSION (10 points): OBJECTIVE(S) (3 points): EXPERIMENTAL DATA (3 points): Obtain experimental data that will be used for further calculations from the graphs. PART 1: Uniformly Accelerated Motion on a Dynamic Track Table 1. Run la Time interval (units) Coordinates (units) Distance (units) After plotting a curve of best fit for x(t) in Logger Pro, fill in these tables with the corresponding curve fit coefficients. Pay close attention to the direction of the velocity and acceleration. Table 2. Position vs. Time Curve Fit Coefficients Run # B C Acceleration (units) la 1b 2 4 Table 3. Position vs. Time Curve Fit Parameter Definitions Coefficients Name of Physics quantity (i.e. position, distance, velocity, etc.) A B C After plotting a line of best fit for v(t) in Logger Pro, fill in the following tables with the corresponding linear fit parameters. 2