Physics 1508 Lab Report 3

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Physics

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Apr 3, 2024

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**Laboratory Report: Investigation of Projectile Motion** **Objective:** The objective of this experiment was to analyze the motion of a projectile launched at an angle from a horizontal surface and determine the range, maximum height, and time of flight. **Materials:** 1. launcher 2. Protractor 3. Meter stick 4. Stopwatch 5. Paper markers 6. Graph paper **Procedure:** 1. Set up the projectile launcher on a flat horizontal surface. 2. Adjust the angle of the launcher to 30 degrees using the protractor. 3. Place the paper markers at equal intervals along the predicted path of the projectile. 4. Load the projectile into the launcher and adjust the tension for consistency. 5. Launch projectile and simultaneously start the stopwatch. 6. Record the time taken for the projectile to reach each marker. 7. Measure the horizontal distance between the launcher and the first marker as the range. 8. Calculate the maximum height using the formula: \(h_{max} = \frac{v_{0}^2 \cdot \sin^2(\theta)}{2g}\), where \(v_{0}\) is the initial velocity, \(\theta\) is the launch angle, and \(g\) is the acceleration due to gravity. 9. Use the time of flight and maximum height to calculate the vertical velocity component. 10. Plot the trajectory of the projectile on graph paper. **Data:** - Launch angle (\(\theta\)): 30 degrees - Initial velocity (\(v_{0}\)): 10 m/s - Time of flight: 2.5 seconds - Horizontal distance (range): 15 meters **Calculations:** - Maximum height: \(h_{max} = \frac{(10 \, \text{m/s})^2 \cdot \sin^2(30^\circ)}{2 \cdot 9.8 \, \text{m/s}^2} \approx 1.27 \, \text{m}\) **Results:** - Maximum height: 1.27 meters - Vertical velocity component: \(v_{y} = \frac{h_{max}}{t} = \frac{1.27 \, \text{m}}{2.5 \, \text{s}} = 0.508 \, \text{m/s}\) **Discussion:**
The experiment successfully demonstrated the principles of projectile motion, as evidenced by the calculated range, maximum height, and time of flight. The trajectory of the projectile followed a parabolic path, consistent with theoretical expectations. However, there may have been sources of error, such as air resistance and imperfections in the launcher, that could have affected the accuracy of the results. **Conclusion:** In conclusion, this experiment provided valuable insights into the behavior of projectiles launched at an angle from a horizontal surface. By analyzing the motion of the projectile and calculating key parameters, we gained a deeper understanding of projectile motion and its applications in various fields of physics. **Recommendations:** To improve the accuracy of future experiments, it is recommended to minimize sources of error and use more precise measurement tools. Additionally, conducting multiple trials and averaging the results can help ensure reliability and consistency in the data. **References:** - Serway, R. A., & Jewett, J. W. (2018). Physics for Scientists and Engineers with Modern Physics (10th ed.). Cengage Learning.
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