Deadline to Pluto

The remains of an exploded radio-active planet reach the outer solar system in the course of their plunge across interstellar space. A massive fragment crashes into Pluto. Earth's scientists determine that it is set to mutate into pure energy which will explode Pluto and threaten the equilibrium of the solar system. A mission is quickly mounted for a spaceship to reach Pluto and neutralise the meteorite before it can trigger a chain reaction.
The problem is that the crew will have only 110 hours to reach Pluto, which means a constant acceleration and intense, prolonged physical suffering for the crew, The authoritarian Captain Rapier has his hands full to save the mission when mutiny breaks out...