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A sphere is fired downwards into a medium with an initial speed of 27 m/s. If it experiences a deceleration of a=-6t m/s^2, where t is in seconds,
determine the distance traveled before it stops.

A sphere is fired downwards into a medium with an initial speed of 27 m/s. If it experiences a deceleration of a=-6t m/s^2, where t is in seconds,
determine the distance traveled before it stops.