Question

2. Calculate the velocity at each time (except the first and the last one) by using values immediately after and before those times: the tn-- For example, the velocity at point 2 is n Time t (s) Position x (m) Velocity v (m/s) vt (unit-mls) aGou .245 8 3,abus 1.553 3. calculate v/t (what are the units?) and write it in column 5 of the table above. Calculate its average and its uncertainty: Average uncertainty: 4. On the graph paper, make a graph of velocity (Y axis) versus time (X axts) best fit line that doesnt touch any data points and goes in between . Draw a data points. 5. Calculate the slope of the best fit line by picking 2 points directly on the line, none the points used to calculate slope are data points. Show your points on the graph and your calculation. Slope- 6. Find the intercept. Show your calculations. Remember to write the units Intercept- 7. How is the slope related to the acceleration of the cart? Explain. 8. Find acceleration from the slope of the best fit line. a= 9: Using the protractor attached to the track, measure this angle value: and record its You need a to calculate gravity g. (unit: ) 10. measured g acceleration/sin(a)- Calculate the percentage error with respect to the standard value. 11. % percentage error for g- 12. what is the physical meaning of the intercept? 13. Look at the v/t data in column S of the table. Do you see a trend? If yes, try to explain it. Hint: look at eq. (3) 14. find the % error between your slope and the average calculated at point 3 Er 2xlslope averogel 100 Er slope + average X100... 15. Are the two data in good agreement? Explain your answer and comment on the differences (i.e. try and indicate possible causes for the difference). Hint: refer to points 12 and 13 above.

Answer 1

Date n Time (t Position velocity v 5 m/ s (m/s) 1 00 4 , 134 O 228 о . 35 o 523 0 359 0 496 0 63千 O 2 3 42 0015 5 2.302.1 6 2 6028 O. 3 O 316 o 320 130 .qす! ! 29036 83 2045 1 245 J 55 3 O 35:324 o 961 O 33 3 velocity Avesage of Y/t 26 10:3+0 316+0 3210 324-0 33 6 ancertnity = _(average-exact value ) 2 3) (о 306-0.316) ニ(0.308-026) + (0 . 308-0 ナ(D 308-О 32 )2十(o 30s-o . 324), (0308-033) 6 16 t 0256+0 0410 051t0 108 6 = 0.065