Its speed would equal
X
___
0
-infinite and +infinite simultaneously?
...In other words, stopped?
Nah, it means it hasn't stopped, but it hasn't moved either. It did something "else". the 1/0 problem has two simultaneous values of +infinite and -infinite. The simultaneous values are due to the nature of the problem.
1/0 can be regarded as 1 / "An infinitely small number". If you have 1/0.1 , you get 10. 1/0.01 = 100, 1/0.001 = 1000 , ... , 1/0 = some infinitely huge number. But, we can't simply say it will equal Infinite, because the problem can work from the Negative side of zero as well: 1/-0.1 = -10 , 1/-0.01 = -100 , ... , 1/ -0 = some negative infinitely huge number.
And because 0 = -0, then 1/0 should have two simultaneous values. The nature of the problem also means that you can't add them together. As you know, infinite is impossible, so infinite and -infinite simultaneously is even more impossible, albeit it's seen frequently in quantum mechanics (see "Particle in a 1 dimensional box" problem)