Energy required to accelerate a mass

[Stellar1]

Homework Statement

1-Calculate the energy (1/2 mv^2) for each of the following:
a) a nova outburst that accelerate a mass of 1E-5 M_sun to
a velocity of 1000 km/s

Homework Equations

1/2 mv^2

The Attempt at a Solution

Now, here's what I am unsure of. Do I just take the kinetic energy, or, do I have to do some strange integral? I'm still not very comfortable with integration and am unsure of when to use it.

 

[LowlyPion]

I'd say just take the kinetic energy as asked.