Observations of gravitational free fall during drop experiments support a quadratic model

Authors

  • Joseph Cardillo Science & Engineering Magnet Program, Manalapan High School
  • Jake Croft Science & Engineering Magnet Program, Manalapan High School
  • Bobby Kapoor Science & Engineering Magnet Program, Manalapan High School
  • David Pevzner Science & Engineering Magnet Program, Manalapan High School
  • Soham Sankritya Science & Engineering Magnet Program, Manalapan High School
  • Ashmaan Siddiqui Science & Engineering Magnet Program, Manalapan High School

DOI:

https://doi.org/10.64804/bzdpzs95

Keywords:

data analysis, regression, kinematics, gravity, acceleration, quadratic, free fall, R, ggplot2, dplyr

Abstract

When an object is dropped, standard kinematics predicts that in the absence of resistive forces, the vertical distance it travels due to gravity is described quadratically with respect to time. In this experiment, we dropped a tennis ball with negligible initial velocity from various known test heights and recorded the fall time for each trial. We then assessed whether our data were consistent with the predictions of standard kinematics, ultimately finding evidence that our height vs time data is compatible with the constant acceleration assumption of kinematics with a gravitational acceleration of magnitude 9.4 ± 0.3 m/s2 .

References

P. A. Tipler and G. Mosca, Physics for Scientists and Engineers, 5th ed. (W H Freeman and Company, New York, 2004).

W. Moebs, S. J. Ling, and J. Sanny, University Physics, Vol. 1 (OpenStax, Houston, TX, 2016).

R. A. Pelcovits and J. Farkas, Barron’s AP Physics C Premium (Kaplan North America, Fort Lauderdale, FL, 2024).

R. Larson and R. P. Hostetler, Calculus, 8th ed. (Brooks Cole, Pacific Grove, CA, 2005).

D. S. Starnes, J. Tabor, D. Yates, and D. S. Moore, The Practice of Statistics, 5th ed. (W. H. Freeman and Company, 2015).

R Core Team, R: A Language and Environment for Statistical Computing, R Foundation for Statistical Computing, Vienna, Austria (2025).

H. Wickham, R. François, L. Henry, K. Müller, and D. Vaughan, dplyr: A Grammar of Data Manipulation (2026), R package version 1.2.0.

H. Wickham, ggplot2: Elegant Graphics for Data Analysis (Springer-Verlag New York, 2016). DOI: https://doi.org/10.1007/978-3-319-24277-4_9

G. Galilei, Discorsi e dimonstrazioni matematiche, intorno à due nuoue scienze attenenti alla mecanica & i movimenti locali (1638).

R. K. Hetzler, C. D. Stickley, K. M. Lundquist, and I. F. Kimura, Reliability and accuracy of handheld stopwatches compared with electronic timing in measuring sprint performance, Journal of Strength and Conditioning Research 22, 1969 (2008). DOI: https://doi.org/10.1519/JSC.0b013e318185f36c

D. A. Faux and J. Godolphin, Manual timing in physics experiments: error and uncertainty, American Journal of Physics 87, 110 (2019). DOI: https://doi.org/10.1119/1.5085437

Downloads

Published

2026-02-26

Data Availability Statement

Data are available at https://github.com/devangel77b/427jcardillo-lab1

Issue

Section

Articles

How to Cite

Cardillo, J., Croft, J., Kapoor, B., Pevzner, D., Sankritya, S., & Siddiqui, A. (2026). Observations of gravitational free fall during drop experiments support a quadratic model. Journal of Science & Engineering, 2(2), 47-49. https://doi.org/10.64804/bzdpzs95

Similar Articles

51-58 of 58

You may also start an advanced similarity search for this article.