projectile motion

background (prelab; 10 points)

given the height of a table, h; a ball's horizontal velocity, vo ; derive the equation describing the horizontal displacement of the ball, x

what is a pausible nontrivial error and its effect on your results ? justify / elaborate / rationalize the basis of its effect.

purpose

based on a measurement of a ball's (horizontal) velocity leaving a table, predict the ball's horizontal displacement from the table

relate the ball's horizontal velocity leaving a table and its horizontal displacement from the table

compare the results involving the ping pong ball versus rubber ball

materials

ping pong ball; rubber ball; table; ruler; ramp

photogate probe

Lab Quest computer / probe interface

computer with Logger Pro software

methods

organize among your yourselves, such that, no group uses the same ramp height, but use for the same height for the ball to drop.  there will be 5 groups:  ramp height ~ 10, 20, 30, 40, 50 cm; record height of ramp & vertical distance for ball to drop..

@ Logger Pro:  File  -->  Open  -->  Physics with Vernier  -->  08 Projectile Motion

photogates

setup photogates, where the ball triggers photogate 1 before photogate 2

measure for the distance between the photogates, then adjust parameter in the analysis program accordingly

conduct multiple runs to confirm that you got consistent results; your experimental data will be used in a future lab, where you'll relate the ramp's height to the other experimental data, so keep your data, including associated Logger Pro files

content of lab report  [30 points]

results  [20 points]

• fill-in the below table [experimental data]
height of ramp horizontal velocity ball's horizontal displacement off the table
ping pong ball
rubber ball
• based on the ball's horizontal velocity, calculate / predict its horizontal displacement from the table  [show your work in an organized manner] for both the ping pong ball & rubber ball - using your group's data at a specific ramp height, i.e. you don't have to calculate it for the other group's ramp heights - if they provide this information; otherwise, you'll have to calculate it.
• using the paired t-test (requires mathematica), compare the ball's experimental versus calculated horizontal displacement off the table  [include both the output of the statistical test & its interpretation]

discussion  [10 points]

• qualitatively describe the relationship among the variables in the above table
• compare the results between ___ & rationalize these observations.
• predicted / calculated horizontal displacement versus experimental displacement
• the ping pong ball versus the rubber ball
• error analysis to rationalize any disagreement between the actual versus calculated results.