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?

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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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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?

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Step 2: Part(a): Calculating the launching speed of the stone

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