The height reached by the ball fired from a cannon with a speed of 300 m/s at an angle 45 ° to the horizontal.

Question

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?

Answer 1

Question

Chapter 3, Problem 82P

(a)

To determine

The height reached by the ball fired from a cannon with a speed of 300 m/s at an angle 45° to the horizontal.

(b)

To determine

The time for which the ball is in air.

(c)

To determine

The horizontal range of the canon ball

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