Published on November 25th, 2012 | by Simi0
Mathematics of the mission to the edge of space
On the 14th of October space diver Felix Baumgartner became the first person to exceed the sound barrier without any engine assistance.
Exit altitude: 39,045m above sea level
Total jump duration: 9 minutes 3 seconds
Freefall time: 4 minutes 20 seconds
Freefall distance: 36,529m
Altitude at landing point: 1,363m above sea level
Maximum speed: 1,342.8km/h (Mach 1.24) after 42 seconds of descent
Provide numerical answers correct to two decimal places for the following.
a) What were his average speeds of descent (in m/s) during and after freefall (i.e. before and after parachute)?
b) If we assume his speed of descent increased from zero to the maximum level linearly, what was his acceleration in m/s2? How does this compare with the standard acceleration due to gravity at the earth’s surface (9.81 m/s2)?
c) With the above constant-acceleration assumption, how far had he descended after 42 seconds?
Extension question: Draw a speed vs time graph to model Baumgartner’s descent ensuring that the area under the graph up to a point in time represents the distance fallen up to that time.
Question created by Chaitanya Rao, Daniel Mathews, Norman Do
Image courtesy of RedBull STRATOS