Jakob Middlebrooks Lab04 - 1D Kinematics - Report

Lab04 – 1D Kinematics American University Physics Department Date: Full Name: Jakob Middlebrooks Lab Partner Name(s): Tao Lab Class and Section: PHYS 110 Section 1 Lab Instructor: Anna Binion P HYSICS L AB N OTES  For safety and pedagogical reasons, you are only allowed to have one lab partner. If there are an odd number of students there may be one group of three.  Collected data may be shared with your lab partner(s). While you are encouraged to collaborate with your fellow students, labs are to be completed and submitted individually.  Lab Submission Details: 1. Create data tables and plots using spreadsheets, 2. Copy and paste data tables and plots into the provided lab report template, 3. Answer all lab report questions, 4. Save as or print completed lab report template as a PDF, 5. Submit PDF – only PDFs submissions are allowed!  If you need to edit the Report Template, go to Review → Restrict Editing → Stop Protection 1D K INEMATICS L AB O BJECTIVES  All objects in the universe appear to obey certain mathematical models. Use these models to generate toy data that can make predictions about future behaviour of the universe!  Use a spreadsheet application to conjure the mystical parametric plot.  Collect real-world freefall data in a consistent and repeatable manner.  Analyze freefall data using statistical and graphical methods.  Reinforce your understanding of precision, accuracy, and uncertainty through reporting of results in standard form . L AB R EPORT C HECKLIST  Activity #1 – 1D Kinematics Plotting o Data Table (2 points) o Plots (3 points) o Questions (4 points: ½ point for each sub-question)  Activity #2 – 1D Parametric Plotting o Data Table (1 points) o Plot (1 points) o Questions (1 point)  Activity #3 – Measuring g o Data Table and Results (3 points) o Plot (1 point)

o Questions (4 points)

0 0.5 1 1.5 2 2.5 -8 -7 -6 -5 -4 -3 -2 -1 0 f(x) = − 3.71 x R² = 1 Vertical Speed (m/s) vs. Time (s) Time (s) Vertical Speed (m/s) vertical acceleration vs time a y ( t ) vst plot: 0 0.5 1 1.5 2 2.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 f(x) = − 0 x − 3.71 R² = 0 Vertical Acceleration (m/s^2) vs. Time (s) Time (s) Vertical Acceleration (m/s^2)

A CTIVITY #1 Q UESTIONS 1. Looking at your data table and/or graphs, at about what time t is: a. The position of the object about 4[m] below the initial position? At time T=0.9 the position is about 3.96 meters below the initial position b. The velocity of the object about 35 [miles per hour]? 35 miles per hour = 15.64 meters per second which occurs at T= 1.6 c. The acceleration about 2[m/s²]? Never because the acceleration is only g the entire time 2. Set the initial vertical velocity to be v 0 y =+ 5[m/s] . a. At about what time t does the object return to its initial position? At time T = 1 b. If you are throwing this object, what does giving it a positive vertical velocity represent? Throwing it up at a slight angle upward, throwing it so it makes a curve c. If you are throwing this object, what does imparting a negative vertical velocity represent? Throwing it downward at some angle below 0 degrees 3. Now suppose you are performing kinematic experiments on the surface of Mars, a. Using the resources available to you, what is the gravitational acceleration constant on Mars? 3.71 m/s^2 b. If you drop the object on the surface of Mars from y 0 = 0[m] , about how long does it take to get to -5[m]? About 1.65 seconds to drop 5 meters from its initial drop point

0.8 1 1.2 1.4 1.6 1.8 2 -2 -1.8 -1.6 -1.4 -1.2 -1 -0.8 -0.6 -0.4 -0.2 0 Snapshot Graph Horizontal Position [m] vertical Position [m] A CTIVITY #2 Q UESTIONS : 1. What planet or moon did you choose and what is its acceleration of gravity in [m/s²]? I chose mars with an acceleration of -3.71 m/s^2 2. What spreadsheet function (starting with an equals sign “=”) did you use to calculate y ( t ) ? For example, the spreadsheet formula for adding cells R2 and D2 is: “=R2+D2”. =$B$7+$B$8*A15+((1/2)*$B$9*(A15^2))

A CTIVITY #3 – M EASURING g A CTIVITY #3 E XHIBITS Data Table, Plot Data, Linest Analysis, and Results: Titled and Labelled ∆ v 2 vs 2 y Plot: 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0 1 2 3 4 5 6 7 8 f(x) = 8.83 x + 0.13 R² = 1 2 *Final Postion (m) vs. Final Velocity Squared (m^2/s^2) 2* Final Postion (m) Final Velocity Squared (m^2/s^2)