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Problem 317: Firecracker

curriculum/challenges/english/blocks/project-euler-problems-301-to-400/5900f4aa1000cf542c50ffbc.md

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--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 $\frac{\text{m}}{\text{s}}$.

We assume that the fragments move without air resistance, in a uniform gravitational field with $g=9.81 \frac{\text{m}}{\text{s}^2}$.

Find the volume (in $\text{m}^3$) of the region through which the fragments move before reaching the ground. Give your answer rounded to four decimal places.

--hints--

firecracker() should return 1856532.8455.

js
assert.strictEqual(firecracker(), 1856532.8455);

--seed--

--seed-contents--

js
function firecracker() {

  return true;
}

firecracker();

--solutions--

js
// solution required