Question 15

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