A projectile of mass 200 g is launched in a viscous medium at an angle with the horizontal

PHYSICS · Subjective · AP · Physics C: Mechanics · Force and Translational Dynamics · Force and Translational Dynamics

Problem

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 \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 s. Taking

e = 2.7

, the horizontal distance of the wall from the point of projection (in m) is _____ .