Analysis: Part A: Plot a displacement vs. time graph for your data. Part B Part A 1. From your displacement vs time graph determine the instantaneous velocity for each time (each 0.1 s). (Hint: Draw tangents for each 0. 1 s and find the slope of the tangent lines.)Name: Investigating Uniform Accelerated Motion in your last investigation you learned that uniform motion is very difficult to attain. In this investigation you will be studying motion which is increasing at a uniform rate. You will need to use the concepts developed in the previous investigation as well as the concept of instantaneous speed/velocity. Purpose: to produce both (i) a displacement vs. time graph and (ii) a velocity vs. time graph for uniform accelerated motion. Hypothesis: Sketch (i) what a displacement vs. time graph and (ii) what a velocity vs. time graph for uniform accelerated motion should look like : Procedure: . Set up a tickertape timer. . Attach approximately 2.5 m to 3.0 m of tickertape to the weight and thread it though the timer (remember: shiny side of tickertape should be facing up). . Start the timer and allow the weight with the attached tickertape to fall. Watch your toes! Try to ensure that the tickertape is able to move freely through the timer. Stop the timer when finished. e Start with the first dot on your tape that is clearly discernible as a separate dot. Label this t = 0s. Mark off every 6th dot and label it with the subsequent number (0.1s, 0.2s, 0.3s... etc) . Try to have at least seven intervals. . Measure to the nearest millimeter the distance from the first dot chosen to each subsequent labeled dot. . Tabulate your results in a table with headings of; time, total distance from t = 0, distance in interval, and instantaneous speed/velocity. Don't forget units. Time (s) Total Distance Distance in Instantaneous from interval Velocity (cm/s) t = 0 (cm) (cm) Acceleration : . Calculate the distance in each interval.\f4. Compare this value to the acceleration of gravity (9.80 m/s2). Calculate the % error. % error = [E - A] x 100 5. Determine the area under the velocity vs time graph up to the 2nd last time interval. What does this quantity represent? Evaluation: . Does your data support your hypothesis/prediction? . Were there any possible sources of error in this activity that could have influenced your results? What were they?t B: Plot an instantaneous velocity vs time graph. 2. Calculate the slope of the velocity vs time graph. Pay particular attention to the units. 3. What quantity does the slope of a velocity vs time graph represent