Lab 3 Projectile Motion Brown

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University of Kentucky *

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Physics

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Dec 6, 2023

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Lab 3 – Projectile Motion Isabelle Brown KHP415-006 September 27, 2023 1
Discussion questions 1. Based on your estimates of shot error, which two shots went in the hoop eventually? Were your predictions accurate? Given that the radius of a regulation basketball rim is 9 in, assess of the validity of the predictions made using video analysis. (5 pts) The estimates of shot error that went in eventually was shot 2 being that it was positive and close to the rim regulation (0.112 meters). The next shot that was close to or could have possibly gone in was shot 1 because the shot error (0.798 meters) was also positive. My predictions based upon my shot errors were accurate. The test is valid because the absolute values of the shot errors was lower than the radius of the rim, meaning that the predictions came out to be accurate and what they were intended to be. The radius regulation of the rim being 0.229 meters (9 in.). 2. Which two shots did you predict would miss the hoop, went long or fall short? Were your predictions successful? (5 pts) The two shots that were predicted to miss the hoop was shots 3 and 4. The values the shot errors were -0.287 and -1.8. These values lead me to believe that the shots fell short of the basketball hoop, or they hit the backboard and bounce off the rim. My predictions were not successful because they did not go in the hoop. 3. Drag forces due to air resistance were ignored. What sort of horizontal ball accelerations would these forces produce leftward or rightward? By ignoring these forces do you think you overestimate or underestimate the shot error? (10 pts) There are no other forces on horizontal ball accelerations but there is a gravity force on the vertical ball acceleration. By ignoring these forces, the shot errors of shots 1 and 2 were overestimated being positive values. Shots 3 and 4 were underestimated being negative values. The direction is leftward. 4. Manual digitization in Tracker is not error free. If we assume that your digitized ball locations were offset by 1 cm, make a worst-case estimate of the true ball velocity for sho1. To do this, compute the distance traveled by the ball from frame 1 to frame 2 then add 2 cm representing the total error in measurement for both frames. What is the percentage difference between the magnitude of the velocity computed using this distance and the velocity you originally found? Show your calculations in the report. (10 pts) x-position at frame 2 with error predictions: 1.548+0.02= 1.568 x-component with error predictions: 1.568-1.419= 0.149 0.149/0.033= 4.52 Magnitude of Initial Velocity √6.55 2 m/s + 4.52 2 m/s= 7.75 m/s (with prediction error- 0.02) 7.62 m/s (initially) 7.62-7.95=0.33 0.33/ (7.62+7.95/2) x 100= 4.23% %Diff= 4.23% 2
5. In the lecture we discussed an optimal angle of release that produces the farthest throw for a given initial velocity. In theory, basketball shots released at almost an angle have the potential to go in but Brancazio (1981) concluded that there is an optimal angle of release. What angle, or range of angles was recommended by the author, and what is the reasoning behind this? (10 pts) The recommended angle is a range of >45-55°. Height is relative to angle. The horizontal components and vertical components are independent of one another. Increase the fly time. The reason for this optimal angle of release is to increase the fly time of the object. 3
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