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1) Schrijf een modeloplossing. Houd rekening dat je bij randomisatie dit anders zal moeten schrijven.

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2) Randomiseer de snelheid, en controleer welke effecten dat heeft op de andere variabelen.

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A ball is thrown upwards, and moves according to the equation $\\displaystyle{\\frac{d^2z}{dt^2}=-g}$
(where $z(t)$ is distance in metres measured upwards from the ground and the constant acceleration of gravity, $g$ , is given as $9.81\\;m/s^2$).

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The ball is projected upwards with a speed $\\var{v}\\;m/s$.

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a)

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...

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b)

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...

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Input the vertical distance $z$ as a function of $t$.

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Note that at $t=0$ we have $z=0$ and that $\\displaystyle \\frac{dz}{dt}=\\var{v}m/s$.

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Input gravitational acceleration as $g$.

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$z=$ [[0]]

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Time taken to reach maximum height = [[0]] $s$ (accurate to $2$ decimal places)

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Maximum height = [[1]] $m$ (accurate to $2$ decimal places)

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