Lab 3 answer sheet

Laboratory Exercise 3: Projectile Motion and Error Propagation Answer Sheet Name: _______Anya Sawchuk_____ Name: ________________________ Name: ________________________ Name: ________________________ This is the form that you must turn in to get credit for the lab. Please answer the questions fully as some questions ask you to write an explanation instead of a number or multiple choice answer. If the lab asks you to make graphs, do so in Excel copy them into this sheet in the appropriate place. When you are ready to turn the lab in, convert the file to .pdf and submit it via the Assignments tool on D2L. Labs submitted in other formats will not be considered. A group of up to 4 members may submit one lab report. It is not necessary for each member to submit a separate report as long as each member’s name in included at the top of this sheet. Part A: Exercise 3-1 1. What is accelerating the ball?  Gravity is accelerating the ball. 2. a x = ¿ m s 2 a y = ¿ − 9.8 ¿ s 2 3. If the height of the table was doubled, would you expect the distance that the ball travels off the end of the table (shown as ∆ X ) to decrease, stay the same, increase but not double, double, or more than double? Highlight or bold your answer.  If the height of the table doubled, the time it would have originally taken to reach the ground will increase. The distance is able to increase but not double. Exercise 3-2

Data Table 1 Length of Ramp = _____4 _____ m  ____0.05 ___m Measure the height of the ramp (height) and estimate the uncertainty in the measurement. See Lab 1 if you need a reminder on estimating uncertainty. Height of ramp = _____9____ m  _0.005 _m Measure the height of the table ( ∆Y ) and estimate the uncertainty in the measurement. See Lab 1 if you need a reminder on estimating uncertainty. ∆Y = ___76_____ m  _0.005 _m Measure the horizontal distance that the marble traveled ( ∆ X ) from the edge of the table to the marks on the paper. Trial 1 Trial 2 Trial 3 Trial 4 Trial 5 ∆ X (m) 3.9 3.9 3.8 3.9 3.9 1. Average distance the ball traveled ( ∆ X ¿ = ____3.88_______ m 2. Time of flight of the ball = _______0.46 ________s 3. Initial velocity of the ball = ________8.44_______ m s 4. Standard deviation of the horizontal distance = _____0.010 ________ m 5. Standard error in the distance = ________0.004______ m 6. Uncertainty in the distance = _______0.008_________ m 7. Proportional error in the distance = ______0.214_______ 8. Proportional error in the height of the table = _____0.669 __________ 9. Proportional error in the velocity = _______0.66_______ 10. Uncertainty in the initial velocity = ____0.711 _____ m s . Exercise 3-3 1. Angle of the ramp = _______________ °

∆Y = ____76 ______ m  ___0.005 ____m Measure the horizontal distance that the marble traveled ( ∆ X ) from the edge of the table to the marks on the paper. Trial 1 Trial 2 Trial 3 Trial 4 Trial 5 ∆ X (m) Exercise 3-5 1. Angle of the ramp = _______________ ° 2. Time of flight of the ball = _______________s 3. Velocity at the bottom of the ram, V ramp = ____________ m s 4. Average distance the ball traveled ( ∆ X ¿ = _______________ m 5. Did the results in question 1 (the angle of the ramp) agree with your prediction in Exercise 3-4? 6. Did the results in question 2 (time of flight) agree with your prediction in Exercise 3-4? 7. Did the results in question 3 ( V ramp ) agree with your prediction in Exercise 3-4? 8. Did the results in question 4 (distance the ball flew, ∆ X ) agree with your prediction in Exercise 3-4? 9. For any of questions 5-8 where your predictions didn’t match the experimental result, discuss why they might have been incorrect. 10. If air resistance was included, how would the distance that the ball flew be impacted? Briefly explain your answer.