On August 16, 1960, at 7:12 a.m., United States Air Force Captain Joseph W. Kittinger Jr. looked out from his balloon gondola at a height of over 19 miles and… jumped. Kittinger’s altitude and free-fall speed record lasted until Felix Baumgartner’s jump from a height of nearly 24 miles on Oct. 14, 2012. Baumgartner broke several records, including for vertical speed, where he was the first human to break the sound barrier without assisted power.

1.
J. W.
Kittinger
, “
Inside the original space dive: Joseph Kittinger on 1960 record jump
,” https://news.nationalgeographic.com/news/2012/10/121008-joseph-kittinger-felix-baumgartner-skydive-science/.
2.
Red Bull Stratos: Final Statistics
,”
Red Bull Stratos
, http://www.redbullstratos.com/science/scientific-data-review/index.html.
3.
J.
Benacka
, “
Solving JW Kittinger’s Excelsior III jump in Excel. Spreadsheets in education
,”
eJSiE
5
(
1
),
1
(Nov.
2011
).
4.
A.
Müller
, “
Supersonic jump
,”
Phys. Teach.
51
,
14
(Jan.
2013
).
5.
J. M.
Colino
and
A. J.
Barbero
, “
Quantitative model of record stratospheric freefall
,”
Eur. J. Phys.
34
(
4
),
841
(April
2013
).
6.
I.
Lovatt
and
B.
Innes
, “
Resistance is not futile: Air resistance in an algebra-based course
,”
Phys. Teach.
43
,
544
(Nov.
2005
).
7.
N.
Shea
, “
Terminal speed and atmospheric density
,”
Phys. Teach.
31
,
176
(March
1993
).
8.
Readers can view the appendix online at https://doi.org/10.1119/1.5098912 under the Supplemental tab.
9.
The Barometric Formula
,”
Hyperphysics
, http://hyperphysics.phy-astr.gsu.edu/hbase/Kinetic/barfor.html.
10.
Milton
Abramowitz
and
Irene A.
Stegun
(Eds.),
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
(
U.S. Department of Commerce, National Bureau of Standards
, June
1964
), pp.
227
251
.
11.
A number of approximations can be found in Ref. 9 as well as at “
Exponential Integral
,”
Wikipedia
, https://en.wikipedia.org/wiki/Exponential_integral.
12.
United States Parachute Association
, https://uspa.org/faqs.
13.
U.S. Standard Atmosphere 1976 (National Oceanic and Atmospheric Administration, National Aeronautics and Space Administration, and United States Air Force, 1976), p. 62.

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