4. An elevator of height 3.0 m is moving upward with constant acceleration of 3.0 m/s2 (speeding upward). At the instant it reaches a speed of 2.8 m/s a light-bulb from top of ceiling comes loose and falls. A physics student on the 3rd floor sees the light-bulb fall just as the elevator floor passes by. Relative to the student: (15 pts) a. calculate the time for light-bulb to hit floor. b. calculate the speed when it hits floor. c. calculate the distance the light-bulb falls