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

Classical Mechanics Level 2

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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