If you could travel at lightspeed would a beam of light accelerated past you at the speed of ligh?

if it were possible to travel at the speed of light and you fired a beam of light from you spaceship as you were traveling at the speed of light would the beam of light accelerate away from you at the speed of light. Like you were standing still. If the anwer is yes then what if you traveled at twice the speed of light would the beam of light you fired still accelerate away from you. Or no matter how fast you traveled would a beam of light always acclerate away from you when you fired the beam of light from your ship . Thank you