Help with conclusion questions a ,b & c. Please and thank you.

olt antoni er to (0) signs sill emluolao of t brie i to act ed nworle as oldet alavianA moy ni fi by Awh from bottom -we batangacal 92 Figure 1 bowenoM |onlion! to signa abneyoflib| noifmelados being oilsisleops naBael Note: the diagram above is expanded to show you the x, h and angle. For best results, create a shallow incline using a maximum height no greater than 3 cm. OBJECTIVES (alm) Fatmy . Determine the mathematical relationship between the angle of an incline and the acceleration of a cart down the ramp. . Determine g from data . Determine percent difference PROCEDURE oulov soul art gnies anoffarolesas begg To suisy agatoys 1. Place a board or track so that it forms an inclined surface with the table-top. Place the Motion Detector at the top of an incline. 2. Connect the Vernier Motion Detector to the DIG/SONIC 1 channel of the interface. 3. Adjust the head of the detector so that it is pointing straight down the track, or angled up just a little. moy seola word lies of i mael litw uoy 4. Open the file "03 Cart on a Ramp" from the Physics with Vernier folder. 5. Place the cart on the track near the bottom end. Click [Collect] to begin data collection. Wait about a second, then briefly push the cart up the ramp, letting it roll freely up nearly to the top, and then back down. Catch the cart as it nears the end stop. Examine the graphs.6. Repeat Step 5 if your position vs. time graph does not show an area of smoothly changing velocity. 7. When you have a good run, identify a portion of your velocity vs. time graph that corresponds to the cart as it accelerates down the incline. Determine the acceleration from this graph. You learned how to do this in previous labs. This is your measured acceleration (ameasured) BOY 8. Save the screen. 9. Make a Data Table the way you have learned. What parameters do you need to measure to find the angle? Those should go into the Data table. The ameasured should also be in data table. Recall the format the table must have. 10. Let the angle of the incline remain the same and repeat steps (5-8) for a total of 3 runs. 12. Of the 3 screen shots you have, choose the best one and include one printout for your lab group. ANALYSIS 1. Use trigonometry and your values of / and h to calculate the angle (0) of the incline. Note that / is the hypotenuse of a right triangle. Record it in your Analysis Table as shown below. 2. Now create an Analysis Table as shown below Back Trials Angle of Incline Measured Average Expected Percent acceleration measured acceleration difference acceleration ameasured aexpected ameasured (degrees) (m/s?) (m/s2) (m/s2) 0. 270 2 1.540 0. 2723 33 0.2633 3.27% o. 275 3 0 . 272 3. Find the average value of your measured accelerations using the three values you have measured. Record it in your Analysis Table. beniloni ni en . Calculate the acceleration of the cart when it rolls down this incline. Use the same method and equations that you have learned in the lectures. This is your expected acceleration (aexpected). 5. A new skill you will learn in this lab is how to tell how close your measured values is to an expected or known value. This is called a Percent Difference. Use the formula below. 6 Expected value - Measured value percent difference = x 100 Expected valueCONCLUSION How close was your measured value to the expected value? Can you account for large differences? Present your result with a brief discussion under Conclusion and AFTER conclusion answer the following questions, numbered as asked. (a) Should the acceleration change if you used a heavier cart? Why/why not? (b) If you increase the angle until the board was vertical, what would the measured acceleration be ? (c) If you used a rough incline with lot of friction, would the measured acceleration be the same? Why/why not?trial_1.cmbl Page 1 No Device Connected Cart on a Ramp 1.5 10 Position (m) 0.5 0.0 5 0 2 Linear Fit for. Latest | Position Time (s) x = mt+b m (Slope): -0.3891 m/'s b (Y-Intercept): 0.8104 m Correlation: -0.9971 0.5 - RMSE: 0.008589 m 0.0 Velocity (m/s) -0.5 2 3 5 Linear Fit for. Latest | Velocity Time (s) v = mt+b m (Slope): 0.2685 m/s/s b (Y-Intercept): -0.6936 m/'s Correlation: 0.9999 100 RMSE: 0.0004757 m/'s 50 - Acceleration (m/s?) Linear Fit for: Latest | Acceleration -50 - acc = mt+b m (Slope): -0.07006 m/s3/'s b (Y-Intercept): 0.3371 m/s? 2 3 Correlation: -0.7334 Time (S) RMSE: 0.01135 m/strial_2.cmbl Page 1 D No Device Connected Cart on a Ramp 1.5 1.0 Position (m) 0.0 - X_ No Linear Fit for: Latest | Position Time (s) x = mt+b m (Slope): -0.4251 m/s b (Y-Intercept): 1.019 m Correlation: -0.9968 0.5 - RMSE: 0.009899 m 0.0 - Velocity (m/s) -0.5 2 3 Linear Fit for. Latest | Velocity Time (s) v = mt+b Linear Fit for. Latest | Acceleration m (Slope): 0.2747 m/s/'s acc = mi+b b (Y-Intercept): -0.7416 m/'s m (Slope): 0.2232 m/s'/'s Correlation: 0.9967 100 b (Y-Intercept): 0.04769 m/s? RMSE: 0.003923 m/'s Correlation: 0.7495 50 Acceleration (m/s?) RMSE: 0.03446 m/s O 50 0 2 3 Time (s)trial_3.cmbl Page 1 D No Device Connected Cart on a Ramp 1.5 1.0 Position (m) 0.C 2 Linear Fit for. Latest | Position Time (s) * = mt+b 0.5 - 0.0 - Velocity (m/s) -0.5 0 2 3 5 Linear Fit for: Latest | Velocity Time (s) v = mt+b m (Slope): 0.2727 m/s/s b (Y-Intercept): -0.7087 m/s Correlation: 0.9968 100 RMSE: 0.005977 m/'s Linear Fit for: Latest | Acceleration Acceleration (m/s?) acc = mt+b o m (Slope): 0.1670 m/s'/'s -50 b (Y-Intercept): 0.1120 m/s Correlation: 0.4046 0 RMSE: 0.06597 m/s? 3 5 Time (s)