1. Motion Prac 3 Inclined Plane Velocity-Time Data Analysis & Report Print out the prac pages from the wiki and then answer the questions using the following slides as a guide.

2. Motion Prac 3 Manual Graphical Analysis 1. Draw a velocity-time graph of these results. Draw a line of best fit and lines to represent plausible maximum and minimum gradient lines. This is RJ’s interpretation of the line of best fit and maximum and minimum gradients. Your interpretation will probably vary slightly. When you draw your graph you should really try to do it on graph paper. You should put your gradient triangles and calculations on the graph. (Naughty RJ did not put the gradient triangles on the graph.)

3. Motion Prac 3 Manual Graphical Analysis 2. How can the acceleration of the cart be worked out from its velocity-time graph ? The acceleration can be found from the gradient of the velocity-time graph

4. Motion Prac 3 Manual Graphical Analysis 3. Complete the table below and work out the acceleration of the cart with an appropriate error ? From the graph in Appendix 1 So Acceleration = 1.5455 ms -2  0.091 ms -2 = 1.55 ms -2  0.09 ms -2 GradientDiff. from line of best fit Line of best fit1.5455 ms -2 0 Minimum gradient1.4545 ms -2 – 0.091 Maximum gradient1.5709 ms -2 0. 0254 We always round off errors to 1 sig fig and then round off the place value of the error These results are from RJs graph. Put in your own results

5. Motion Prac 3 Manual Graphical Analysis 4. Use Excel to create a velocity-time graph from the data in table 1 and draw a line of best fit. Download the file Motion Prac 3a3 Sup Material - Inlc pln 1 v-t Excel Data For Practice v6 from the wikispace. Create this graph using the instructions on the prac sheet Add the trendline and equation using the instructions on the prac sheet

6. Motion Prac 3 Manual Graphical Analysis 5. Complete the following details from your Excel graph. v = 15052 t + 0.1652 Because the acceleration is the gradient of a v-t graph acceleration = 1.5052 ms -2 with an r 2 correlation of 0.9822 …....….

7. Motion Prac 3 Manual Graphical Analysis 6. Calculate of the % Deviation of Manual Graph Results compared with the Excel Analysis. From the Excel graph in Appendix 1 Table 1.2 Manually drawn graph and excel acceleration results Acceleration from manually drawn graph Acceleration from excel analysis % deviation of manual results from excel analysis 1.5455 ms -2 1.5052 ms -2 Enter the acceleration you found from your graph

8. Motion Prac 3 Manual Graphical Analysis 7. How do the results from your graph compare with those from the calculator and what is your final estimation for the acceleration of the cart down the ramp? (mention each result, the % deviation in the first sentence, a comment stating how the two results correlate and a conclusion regarding the final result Results within 5% are said to strongly support each other.) The acceleration from the manual method of 1.5455 ms -2 is less than 3% above the 1.5052 ms -2 determined from the Excel analysis which means that they strongly support each other. The excel graph seems to match the points a little better than the manual line of best fit so it is seen as the best approximation to acceleration. Taking into account the maximum and minimum gradients from the manual graph the final result of the experiment is estimated as 1.50 ms -2  0.07 ms -2

9. Motion Prac 3 Manual Graphical Analysis 8. When might a hand drawn line of best fit give a more accurate result than an excel analysis A hand drawn line of best fit may give you more accurate results if there were a lot of outliers that might distort the averaging process used by excel.