1. The problem statement, all variables and given/known data 6. A stunned Batman finds himself in a vault on a ledge. In an attempt the trap him the Joker runs out of the vault while the door closes. Batman fires a grappling hook into the ceiling at an angle, θ, attached to a line of length, L , and manages to pull himself off the ledge swinging down to the floor below. At the very bottom of the swing he lets go of the line to the grappling hook in an attempt to slide the rest of the way out of the door. Find an equation for how far Batman slides, x, as a function of L, θ and μk, the coefficient of kinetic friction between Batman and the floor. If the door is 9.00 meters away and the length of the line is 6.00 meters, the angle 60 degrees and the coefficient of friction 0.250 did Batman make it out? If he did, how fast was he sliding when he went through the door? 2. Relevant equations fk (x)=E1 -E2 started out with that equation 3. The attempt at a solution E1=mgL(1-cosθ) E2=1/2mv2 fk=μkmg so, μkmg(x)=mgL(1-cosθ)-1/2mv2 then, x=L(1-cosθ)/μk - v2 /2μkg thats what i got for the equation but im not sure its right because when i try to use it to find how far he slides i cant because i dont know what v is. im really lost.