Problem P. 4519. (March 2013)
P. 4519. Recently, one of the greatest sensation was Felix Baumgartner's stratosphere jump. The Austrian sky-diver jumped out of the capsule, lifted by a Helium balloon, at a height of 39045 metres and opened his parachute after falling for 4 minutes and 17 seconds. According to the video which can be seen on the world wide web, in the first part of his motion his speed changed as it is shown in the table below:
a) Plot the speed-time and the acceleration-time graphs of the motion in the first 64 seconds.
b) His greatest registered speed was 1300 km/h, which is 1.2 times the actual speed of sound. Estimate when would he reach this record, if only the effect of gravity is counted.
Deadline expired on April 10, 2013.
Sorry, the solution is available only in Hungarian. Google translation
Megoldásvázlat. \(\displaystyle b)\) 37 másodpercnyi szabadesés után.
86 students sent a solution. 4 points: Berezvai Orsolya, Erdei Ákos, Hegyi 555 Anna, Kasza Bence, Kovács-Deák Máté, Kozár Eszter, Papp Roland, Szépfalvi Bálint, Takács 737 Gábor. 3 points: Alabér Ádám, Beke Gabriella, Berta Dénes, Bognár Tamás, Brányi Balázs, Büki Máté, Dinev Georgi, Egyedi Balázs, Fekete Panna, Fonyó Viktória, Garai Zoltán, Godó Tamás, Holczer András, Kácsor Szabolcs, Kenderes Anett, Koch Lilla, Lauer Máté, Olexó Tünde, Pázmán Zalán, Peller Gergő, Sal Kristóf, Sárvári Péter, Szászfai Zsolt, Sztilkovics Milán, Temesi Bence, Tolnai Balázs, Virágh Anna, Weinper Márton, Wiandt Péter. 2 points: 33 students. 1 point: 12 students. 0 point: 3 students.