A sphere is fired downwards into a medium with an initial speed of 27 m/s. If it experiences a deceleration of a = -6 m/s2, 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 = -6 m/s2, where t is in seconds, determine the distance traveled before it stops.