This is a homework question and I don't want an answer but just want to understand what its asking for.
We are given that a star with a mass of
x solar masses in our galaxy turns to a supernova and releases
y amount of energy. Using this we are asked to calculate the average speed of the ejected mass.
v = sqrt(2*E_k/M) (Kinetic energy equation) gives the average speed.
Finally, the questions asks the following:
Compare your result with our Sun’s orbital speed around the centre of the Milky Way galaxy. Where would you expect this material to end up?
Is it asking to solve and check that the average speed > escape velocity if the star was at the same distance from the sun? Or how far from the center of the Galaxy would it end up?