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import maxBall from '.'; | ||
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describe('maxBall', () => { | ||
it('should return the time of the maximum height', () => { | ||
expect.assertions(4); | ||
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expect(maxBall(37)).toBe(10); | ||
expect(maxBall(45)).toBe(13); | ||
expect(maxBall(99)).toBe(28); | ||
expect(maxBall(85)).toBe(24); | ||
}); | ||
}); |
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function maxBall(v0: number): number { | ||
const g = 9.81; | ||
const kmh = 3600 / 1000; | ||
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return Math.round((10 * v0) / kmh / g); | ||
} | ||
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export default maxBall; |
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# [Ball Upwards](https://www.codewars.com/kata/566be96bb3174e155300001b) | ||
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You throw a ball vertically upwards with an initial speed `v (in km per hour)`. The height `h` of the ball at each time `t` | ||
is given by `h = v*t - 0.5*g*t*t` where `g` is Earth's gravity `(g ~ 9.81 m/s**2)`. A device is recording at every **tenth of second** the height of the ball. | ||
For example with `v = 15 km/h` the device gets something of the following form: | ||
`(0, 0.0), (1, 0.367...), (2, 0.637...), (3, 0.808...), (4, 0.881..) ...` | ||
where the first number is the time in tenth of second and the second number the height in meter. | ||
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#### Task | ||
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Write a function `max_ball` with parameter `v (in km per hour)` that returns the `time in tenth of second` | ||
of the maximum height recorded by the device. | ||
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#### Examples: | ||
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`max_ball(15) should return 4` | ||
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`max_ball(25) should return 7` | ||
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#### Notes | ||
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- Remember to convert the velocity from km/h to m/s or from m/s in km/h when necessary. | ||
- The maximum height recorded by the device is not necessarily the maximum height reached by the ball. | ||
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--- | ||
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## Tags | ||
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- Fundamentals |