Answer:
−x direction decreasing in speed.
Explanation:
We can solve the problem by using the law of conservation of energy.
When the rocket starts its motion from the Earth surface, its mechanical energy is sum of kinetic energy and gravitational potential energy:

where
m is the rocket's mass

is the rocket initial speed

is the gravitational constant

is the Earth's mass

is the distance of the rocket from the Earth's center (so, it corresponds to the Earth's radius)
The mechanical energy of the rocket when it is very far from the Earth is just kinetic energy (because the gravitational potential at infinite distance from Earth is taken to be zero):

where

is the final speed of the rocket.
By equalizing the initial energy and the final energy, we can find the final velocity:

Weight = m times g = 5.23 times 8.83 = 46.18 N
The image is missing (however it's not necessary to solve the problem).
The correct answer is A) decreases, because the gravitational force is inversely proportional to the square of the distance. In fact, the magnitude of the gravitational force between two object of mass M and m, at a distance d one from each other, is

where G is the gravitational constant. As can be seen from the formula, if the distance d between the two object increases, the intensity of the force decreases.