If i spacecraft seems to be motionless in deep space is given some type of quick push what will happen

When we give a quick push to the spacecraft, we apply a force in a short time. This is equivalent to saying that we give an impulse to the spacecraft. As the momentum theorem says the impulse that we give to the spacecraft is equal to the change in its momentum

where the momentum is defined as the product between the mass and velocity.

Therefore when we apply a quick push the speed of the spacecraft will change from zero to a constant nonzero value.

For me a person with a phd and who knows what there talking about.i know the chances of a radiation leak is low but if it does the area within a 96.3 mile radius would be unusable because of contamination