A projectile of mass \( 200 \, \text{g} \) is launched in a viscous medium at an angle \( 60^\circ \) with the horizontal, with an initial velocity of \( 270 \, \text{m/s} \). It experiences a viscous drag force \( \vec{F} = -c \vec{v} \) where the drag coefficient \( c = 0.1 \, \text{kg/s} \) and \( \vec{v} \) is the instantaneous velocity of the projectile. The projectile hits a vertical wall after \( 2 \, \text{s} \). Taking \( e = 2.7 \), the horizontal distance of the wall from the point of projection (in \( \text{m} \)) is ____.
