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Project Euler 317 Solution

Project Euler 317 Solution

Project Euler 317: Find the volume of the air-burst region of a firecracker detonation.

Problem Description

A firecracker explodes at a height of 100 m above level ground. It breaks into a large number of very small fragments, which move in every direction; all of them have the same initial velocity of 20 m/s.

We assume that the fragments move without air resistance, in a uniform gravitational field with g=9.81 m/s2.

Find the volume (in m3) of the region through which the fragments move before reaching the ground.
Give your answer rounded to four decimal places.



Project Euler 317 Solution

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2 Responses to “Project Euler 317 Solution”

  1. Never mind. I figured it out, although in a different manner.

    Posted by Max Headroom | October 18, 2015, 6:30 AM
  2. Could somebody please elaborate on that formula? How you came to think of it, or how it came to you? Thank you!

    Posted by Max Headroom | July 31, 2015, 4:36 AM

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