Aspacecraft in the shape of a long cylinder has a length of 100 m, and its mass with occupants is 1 470 kg. it has strayed too close to a black hole having a mass 100 times that of the sun. the nose of the spacecraft points toward the black hole, and the distance between the nose and the center of the black hole is 10.0 km. what is the difference in the gravitational fields acting on the occupants in the nose of the ship and on those in the rear of the ship, farthest from the black hole? this difference in acceleration grows rapidly as the ship approaches the black hole. it puts the body of the ship under extreme tension and eventually tears it apart.

Is a  vector quantity  that refers to "the rate at which an object changes its position." imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. while this might result in a frenzy of activity, it would result in a zero velocity. because the person always returns to the original position, the motion would never result in a change in position. since velocity is defined as the rate at which the position changes, this motion results in zero velocity. if a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. every step must go into moving that person further from where he or she started. for certain, the person should never change directions and begin to return to the starting position.

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