43 lines
887 B
Markdown
43 lines
887 B
Markdown
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---
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id: 5900f4aa1000cf542c50ffbc
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title: 'Problem 317: Firecracker'
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challengeType: 5
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forumTopicId: 301973
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dashedName: problem-317-firecracker
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---
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# --description--
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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.
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We assume that the fragments move without air resistance, in a uniform gravitational field with g=9.81 m/s2.
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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.
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# --hints--
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`euler317()` should return 1856532.8455.
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```js
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assert.strictEqual(euler317(), 1856532.8455);
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```
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# --seed--
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## --seed-contents--
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```js
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function euler317() {
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return true;
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}
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euler317();
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```
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# --solutions--
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```js
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// solution required
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```
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