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A rocket, initially at rest on the ground, accelerates straight upward from rest with constant acceleration 44.1m/s^2 . The acceleration period lasts for time 10.0s until the fuel is exhausted. After that, the rocket is in free fall.

Find the maximum height (y max) reached by the rocket. Ignore air resistance and assume a constant acceleration due to gravity equal to 9.80m/s^2

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