An astronaut, stranded in space 10.0m from her spacecraft and at rest relative to has a mass (including equipment) of 110 kg. Because she has a 100-W flashlight that forms a directed beam, she considers using the beam as a photon rocket to propel herself continuously toward the spacecraft.

(a) Calculate the time interval required for her to reach the spacecraft by this method.

(b) What If? Suppose she throws the 3.00-kg flashlight in the direction away from the spacecraft instead. After being thrown, the flashlight moves at 12.0m/s relative to the recoiling astronaut. After what time interval w the astronaut reach the spacecraft?