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A rocket, initially at rest on the ground, accelerates straight upward from rest with constant acceleration 39.2m/s 2 . The acceleration period lasts for time

A rocket, initially at rest on the ground, accelerates straight upward from rest with constant acceleration 39.2m/s 2 . The acceleration period lasts for time 6.00s 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 to9.80 m/s 2 .

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