65 lines
1.1 KiB
Markdown
65 lines
1.1 KiB
Markdown
---
|
|
id: 5900f4aa1000cf542c50ffbc
|
|
challengeType: 5
|
|
title: 'Problem 317: Firecracker'
|
|
forumTopicId: 301973
|
|
---
|
|
|
|
## Description
|
|
<section id='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.
|
|
</section>
|
|
|
|
## Instructions
|
|
<section id='instructions'>
|
|
|
|
</section>
|
|
|
|
## Tests
|
|
<section id='tests'>
|
|
|
|
```yml
|
|
tests:
|
|
- text: <code>euler317()</code> should return 1856532.8455.
|
|
testString: assert.strictEqual(euler317(), 1856532.8455);
|
|
|
|
```
|
|
|
|
</section>
|
|
|
|
## Challenge Seed
|
|
<section id='challengeSeed'>
|
|
|
|
<div id='js-seed'>
|
|
|
|
```js
|
|
function euler317() {
|
|
// Good luck!
|
|
return true;
|
|
}
|
|
|
|
euler317();
|
|
```
|
|
|
|
</div>
|
|
|
|
|
|
|
|
</section>
|
|
|
|
## Solution
|
|
<section id='solution'>
|
|
|
|
```js
|
|
// solution required
|
|
```
|
|
|
|
</section>
|