A spaceship is traveling directly away from earth with speed $3 t^2 + 4 \ \mathrm{km/s}$. At time $t = 0 \ \mathrm{s}$ it is $500 \ \mathrm{km}$ from earth. How far is it from earth one minute after time $t = 0 \ \mathrm{s}$? Include units in your answer.

Distance = help (units)