PES 1160 Projectile Motion Report

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School

University of Colorado, Colorado Springs *

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Course

1160

Subject

Chemistry

Date

Feb 20, 2024

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docx

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6

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Report
University of Colorado – Colorado Springs Projectile Motion Name: Braden Baker Objective This lab’s goal is to represent and experiment with two-dimensional kinematics. To create data, a ball was launched with various equipment present to assist in creating comparisons to the ball’s time of flight and the range it travels, depending on the angle of launch. Projectile Motion Data 1.) Include all needed data from capstone file. 2.) Measure value for the initial launch height (y o ). 0.06 – 0.01 y o 0.05m
P E S 1 1 6 0 - A D V A N C E D P H Y S I C S L A B I Calculations and Analysis Projectile Motion Launch Data. 1.) Complete the table. Angl e ( ) Experimental Theoretical Initial Velocity (m/s) Time of Flight (s) Range (m) Calculated Time of Flight (s) Calculated Range (m) 10 4.11 0.18 0.76 0.197 0.797 20 4.11 0.31 1.26 0.319 1.23 25 4.11 0.37 1.41 0.381 1.419 30 4.09 0.44 1.56 0.44 1.558 35 4.07 0.49 1.61 0.497 1.657 40 4.07 0.55 1.68 0.552 1.721 45 4.06 0.59 1.69 0.602 1.728 50 4.04 0.65 1.64 0.647 1.680 55 4.05 0.69 1.56 0.691 1.605 60 4.03 0.73 1.48 0.726 1.463 2.) Show at least one example of your calculated Time of Flight and Range values. (Use your results from Prelab question #3) At angle 10: t= [-(3.4)sin(10)+ √ (3.4sin10)^2 - 4(1/2)(-9.81)(.078)]/-9.81 = 0.170999 x= 3.4cos(10)(0.170999) = 0.573 3.) Fill in the blanks of the general kinematic equations with the coefficients you measured for each angle. Projectile Motion - 2
P E S 1 1 6 0 - A D V A N C E D P H Y S I C S L A B I Angle = 30 o x(t) = cos(30)(4.09)t v x (t) = cos(30)(4.09) a x (t) = 0 y(t) = 0.05 + sin(30)(4.09)t + - 0.5gt 2 v y (t) = sin(30)(4.09)t -gt a y (t) = -g Angle = 45 o x(t) = cos(45)(4.06)t v x (t) = cos(45)(4.06) a x (t) = 0 y(t) = 0.05 + sin(45)(4.06)t + - 0.5gt 2 v y (t) = sin(45)(4.06) - gt a y (t) = -g Angle = 60 o x(t) = cos(60)(4.03)t v x (t) = cos(60)(4.03) a x (t) = 0 y(t) = 0.05 + sin(60)(4.03)t +- 0.5gt 2 v y (t) = sin(60)(4.03) - gt a y (t) = -g Part II: Plotting results 1.) Plot the experimental and the theoretical Time of Flight vs. the launch angle. Projectile Motion - 3
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P E S 1 1 6 0 - A D V A N C E D P H Y S I C S L A B I Y = 0.1x +0.2 a. Using the graph above classify the validity of your experiment? General consistency between the experimental and theoretical values. Describe areas of discrepancy. Both lines generally follow the same consistency and pattern, however the calculated, theoretical values are more linear than the tested experimental values, most likely due to errors regarding the equipment’s ability to perfectly yield results each test. Projectile Motion - 4 Title: Experimental and Theoretical Flight Time to Launch Angle 0 Flight time, seconds An gle, De gre es
P E S 1 1 6 0 - A D V A N C E D P H Y S I C S L A B I 2.) Plot the experimental Range and the theoretical Range vs. the launch angle. Y = 0.4x + 0.8 a. Using the graph above how would you classify the validity of the experiment? General consistency between experimental and theoretical values. Explain areas of discrepancy. Both lines follow the same general path, with a few discrepancies near the end, most likely due to an inaccurate measurement of where the ball precisely landed. Projectile Motion - 5 Title: Theoretical and Experimental Range to Launch Angle 0 Range, Meters An gle, De gre es
P E S 1 1 6 0 - A D V A N C E D P H Y S I C S L A B I Conclusion (It’s up to you to fill this one out.) This experiment proved theoretical relationships between angle, velocity, time of flight, and range of a metal ball launched in the air. Data proved fairly accurate, even considering the inaccuracy of certain measurements, such as distance travelled. The approximate angle to reach a maximum range was around 40 degrees. Projectile Motion - 6
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