Warp Drives are solutions of the Einstein Field Equations that allows superluminal travel within the framework of General Relativity. There are at the present moment two known solutions:The Alcubierre warp drive discovered in $1994$ and the Natario warp drive discovered in $2001$. However one the major drawbacks concerning warp drives is the problem of the Horizons(causallydisconnected portions of spacetime) in which an observer in the center of the bubble cannot signal nor control the front part of the bubble.We present the behavior of a photon sent to the front of the bubble in the Natario warp drive in the $1+1$ spacetime with variable velocities and with or without lapse functions using quadratic forms and the null-like geodesics $ds^2=0$ of General Relativity and we provide here the step by step mathematicalcalculations in order to outline the final results found in our work which are the following ones: For both cases with variablevelocities and with or without the lapse function the Horizon do not exists at all.Due to the extra terms in the lapse function andin the variable velocities that affects the whole spacetime geometry these solutions allows to circumvent the problem of the Horizon.