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(4) A rocket is fired straight upwards from the surface of Earth and is observed to have an acceleration of 2g (that is, about 20

(4) A rocket is fired straight upwards from the surface of Earth and is observed to have an acceleration of 2g (that is, about 20 meters per second squared) during its upward flight. It fires its engine for a total of 50 seconds, then falls back to Earth.

a) Sketch a graph of the rocket's velocity as a function of time for the entire flight.

b) What is the rocket's maximum altitude?

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