Question: A certain rocket, initially at rest, is shot straight up with an acceleration of 6t meters per second per second during the first 10 seconds

A certain rocket, initially at rest, is shot straight up with an acceleration of 6t meters per second per second during the first 10 seconds after blast-off, after which the engine cuts out and the rocket is subject only to gravitational acceleration of -10 meters per second per second. How high will the rocket go?

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