Our hero, Captain Gravity, is being pulled into a black hole at an acceleration of 20mi/h^2, where x is the distance between his ship and the black hole in miles. Right now he is 300 miles away, but he was not paying attention to his instruments, so he is already moving toward the black hole at 100mi/h. His thrusters give him a constant acceleration of 30mi/h^2 in any direction. Evaluate the following as true or false. Captain Gravity will get sucked into the black hole.

a. True
b. False

Captain Gravity pulls towards the black hole, if his thruster is pointed towards the black hole than the speed will accelerate. In this case the speed will decelerate below from 20 mi/h to 10m/hr. This will reduce the speed and there will be at least 3 hours to stop the movement towards black hole.

Answer Link