A rocket accelerates straight up from rest for \(20~\mbox{seconds}\) with an acceleration of \(8~\mbox{m/s}^2\). After \(20~\mbox{seconds}\) the rocket motor shuts off and the rocket continues to coast upwards. How high does the rocket go in **meters**?

**Details and assumptions**

- You may take the acceleration of gravity as \(-9.8~\mbox{m/s}^2\).
- You may neglect air resistance.

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