PHYS227 Lab 3 Report Template - Projectile Motion (1)

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Apr 3, 2024

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2024S 1 of 5 PHYS227 Lab Report 3 – Projectile Motion 051L – Ji Ava Barkow, Erin DeGroat Date Performed: 2/29/2024 Introduction This lab is important as it demonstrates the launch characteristics of an object undergoing constant acceleration. The lab shows how error is a prevalent factor when measuring and calculating values. Lastly, the lab teaches you how to make accurate predictions with uncertainty for the range of a projectile filed horizontally. Procedure This is the launch projectile used with the metal ball, table clamp (not seen) securing it to the table, and metal rod. The procedure followed was the manual “PHYS2 27 – Lab 3: Projectile Motion, Spring 2024 ” . The following specifications/exceptions were noted: • We followed the manual. Data and Analysis Part A: Finding the initial velocity of the projectile launcher Initial velocity = squ root(2gh) The bottom launch point is the “launch position” marker on the launcher. Projectile Launched Straight Upward Trial Maximum height (m) ( y max ) 1 1.105 2 1.11 3 1.115

Student Names PHYS227 Lab 3 – Projectile Motion Date Performed 2024S 2 of 5 4 1.1 5 1.105 The error is the diameter of the ball: d=1.5cm=.015m Error in maximum height is .015m (1.5cm) from 1.107m (110.7cm). Average max height = (1.105+1.110+1.115+1.100+1.105)/5 = 1.107 meters Initial velocity = sqrt(2(9.81m/s^2)(1.107m)) = 4.66 m/s Error in initial velocity = (0.015m)(sqrt(9.81/(2(1.107))) = .0316 m/s Part B: Predicting and testing the range of a horizontally fired projectile Range = inital velocity x squ root(2h/g) Prediction: x = (2.33)(sqrt((2(.371))/(9.81)) = .641m Error in initial range = (.0316)(sqrt((2(.371)/9.81)) = .0087m = 0.87cm Projectile Launched Horizontally Trial Range (m) ( x r ) 1 1.219 2 1.219 3 1.214 4 1.219 5 1.22 Average = (1.219+1.219+1.214+1.219+1.22)/5=1.2182 The range of the projectile is x r,meas = 1.2182 ± .0087m. All derivations and calculations:

Student Names PHYS227 Lab 3 – Projectile Motion Date Performed 2024S 3 of 5 Actual projectile sheet with prediction lines and marks where the projectile landed:

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Student Names PHYS227 Lab 3 – Projectile Motion Date Performed 2024S 4 of 5 Predicted range: 1.28 ± .0087m Measured range: 1.2182 ± .0087m Analysis: 1. Average range = 1.2182 m (as seen in the calculation picture above) Standard deviation = squ root((1.219-1.2182)^2+(1.219-1.2182)^2+(1.214-1.2182)^2+(1.219- 1.2182)^2+(1.22-1.2182)^2)/5 = 0.0021 m 2. D=|1.28 ± .0087m -1.2182 ± .0087m |= 0.0618 ± 0.0123 m Sd= squ root((1.2182 ± .0087m)^2 + (1.28 ± .0087m)^2) = squ root(1.6384 ± 0.0157 + 1.484 ± 0.015) = squ root(3.1224 ± 0.0217) = 1.770 ± 0.006 Comparison: 0.0618 ± 0.0123 m ≤ 2( 1.770 ± 0.006 m) = 0.0618 ± 0.0123 m ≤ 3.540 ± 0.012

Student Names PHYS227 Lab 3 – Projectile Motion Date Performed 2024S 5 of 5 Conclusion: The results of the lab were not reflective of our predicted values. We believe that our observed values were much smaller than the predicted values because the second lab table (where our projectile sheet was) was slightly taller than the first lab table. Due to this, our projectile was unable to complete its path the original height of the first table.

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