As a physics instructor hurries to the bus stop, her bus passes her, stops ahead, and begins loading passengers. she runs at 6.0 m/s to catch the bus, but the door closes when she's still 6.0 m behind the door, and the bus leaves the stop at a constant acceleration of 2.0 m/s2 . she has missed her bus, but as a physics exercise she keeps running at 6.0 m/s until she draws even with the bus door. she keeps running at a constant 6.0 m/s after drawing even with the bus door and pulls ahead for a while, but the accelerating bus soon overtakes her. by what maximum distance does she get ahead of the door?