Complete table and 1. Compute the average free falling time for each height y. Record you results in Data Table 6.1.2. Calculate and record the square of the average free falling time for each height y.3. Plot a graph of the height y versus the time, t. What type of curve do you get? Can you make a guess as to what themathematical relationship between time and falling distance is?4. Plot a graph of the height y versus the square of time t2. Can a straight line be drawn through the points?5. Find the slope of this graph. If you are using Excel for plotting the graph, display equation for linear regression used tofind the slope. Compute g from equation (6.9) and compare with the standard value of g by computing the percent error.6. Using the experimental values for t and g, determine the instantaneous velocity v of the falling body from equation (6.4).Plot a graph of the velocity v versus the time t.7. Using the experimental values of v and g, compute y from equation (6.6). Compare this result with your measurement fory by computing the percent difference. Record the results in Data Table 6.1.8. Use data from Data Table 6.2 and compute the average free falling time for each ball. Use this average free falling timeand calculate the acceleration due to gravity from equation (6.7). Record your results in Data Table 6.2.9. To study the dependence of the acceleration due to gravity on the mass of the ball, use your data from Data Table 6.2 and plot a graph of acceleration due to gravity versus the ball's mass. Examine your graph carefully and make a conclusion on how the acceleration due to gravity depends on mass of the ball. Does it appear that objects of different massaccelerate at the same rate when they are free falling?10. Use equation (6.10) and compute your reaction time.

Height Falling time Average of Square of Velocity Height ) =- y. I. S falling time f . falling time V = gI . 2g difference m/ for y Trial 1 Trial 2 Trial 3 0.5 0.3194 0.3258 0.3130 0.7 0.3780 0- 3807 0.3807 0.9 1.428 0- 4258 0.433 1 4578 0. 4562 0.4585 1.1 0. 4738 0. 4781 0.47 16 1.2 0.4949 0.4928 0.4928 1.3 0.5151 05171 0. 5190 1.9 0-5345 0. 5383 0.53 26 Slope of the graph Slope = Value of g from the slope of the graph Percent error = Student's name Section Date Data Table 6.2. Dependence of the falling time on the mass of the falling object Falling height y = _m is the same for all falling balls Mass of Falling time t, s Average falling Acceleration due to the ball, time gravity g from equation (7), g. m/ Trial Trial 2 Trial 3 25 0-5326 0.5345 0.5351 38 0.5341 0. 534 0.5 353 45 0.5329 0. 5345 0-5348 51 0.5327 0.5335 0.5341 Your Reaction Time Distance y= 3.5 m. Your reaction time from equation (6.10) reaction= 0 . 716