During the siege of Constantinople that led to its conquest by the Ottomans in 1453, the Hungarian engineer Orban built a set of bombards (primitive cannon) to throw enormous stones at the city to breach its walls. The largest of these could throw a 300 kg stone a distance x = 2 km. Assume that the stone was launched at an angle of 0 = 45 degrees above the horizontal; in the absence of air resistance, this gives the largest range. a) What speed did the stone have to be launched at to achieve this range? b) How long was the ball in the air? c) How fast was the ball traveling at the apex of its flight?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
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During the siege of Constantinople that led to its conquest by the Ottomans in 1453, the
Hungarian engineer Orban built a set of bombards (primitive cannon) to throw enormous stones
at the city to breach its walls. The largest of these could throw a 300 kg stone a distance x = 2
km. Assume that the stone was launched at an angle of 0 = 45 degrees above the horizontal; in
the absence of air resistance, this gives the largest range.
a) What speed did the stone have to be launched at to achieve this range?
b) How long was the ball in the air?
c) How fast was the ball traveling at the apex of its flight?
Transcribed Image Text:During the siege of Constantinople that led to its conquest by the Ottomans in 1453, the Hungarian engineer Orban built a set of bombards (primitive cannon) to throw enormous stones at the city to breach its walls. The largest of these could throw a 300 kg stone a distance x = 2 km. Assume that the stone was launched at an angle of 0 = 45 degrees above the horizontal; in the absence of air resistance, this gives the largest range. a) What speed did the stone have to be launched at to achieve this range? b) How long was the ball in the air? c) How fast was the ball traveling at the apex of its flight?
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