How High Can This Rocket Go After The Engines Shut Off?

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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