The opposing rockets and the box

A box is placed in orbit,
On two opposite sides of the box there
are two equal rockets placed that can fire
in opposite directions.
Rocket (A) and rocket (B).

If you fire rocket (A) for 10 seconds)
and then shut it down.
Will it now take only 10 seconds for rocket
(B) to slow the box to an "at rest" state again?
:)

Feel free to use any mass for the box and
any propulsion force from the rockets as long as
the rockets have the same propulsive force.
:)

A hint:
The box will have an inertial force after rocket (A)
fires and shuts down.
Don't forget the inertial force of the box.
:)

Pick an answer
1) Rocket (B) will need to fire longer to stop the box
2) Yes it will only take 10 seconds of Rocket (B) firing to stop the box.
3) Rocket (A) will not fire because there is a "dead and alive" cat inside
it.
:)

--
James M Driscoll Jr
Spaceman



.

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