What speed will a person reach, who free falls 111 meters?
(ex. Bungi Jump at Victoria Falls)

I doubt that this can be answered precisely, since I doubt that there
is just one standard for bungi elastics or when they will start to
break the speed of fall.

Also, we need a better definition of "free fall 111 meters":  
111 mtrs prior to the elastics starting to reduce speed?  (That would be easy.)
111 mtrs maximum drop  - the point when the elastics stop descent.

It is contingent on both the weight and attitude ( ie curled as a ball
or limbs extended) of the the jumper, as well as the definition of 111
meters.

I'd freak out!!!

Steph53

The other guys are all unfortunately correct, because drag will play a
significant part in your final speed...But here's an idea of how you
can calculate the max speed, assuming no aerodynamic drag, no bungee
elasticity, etc.

Using one of the equations of motion for constant acceleration,...

deltay = vo*t + 1/2 a*t^2, 

and plugging in deltay = 111 m, vo = 0, a = 9.81 m/s^2, we get t = 4.75 seconds.

So, you'd be in freefall for 4.75 seconds.

Next, using another equation of motion v = vo + a*t, and plugging in
vo = 0, a = 9.81, t = 4.75, we get v = 46.7 m/s

So, the FASTEST you could possibly be travelling from a fall of 111 m
here on earth is 46.7 m/s or approximately 104 miles per hour.  You
will be going considerably slower because drag will slow you down
somewhat.  Of course, at the exact moment that the bungee reaches its
maximum stretch and is about to recoil, you will be travelling 0 mph.

Sorry - forgot to include that 46.7 m/s  = 153.2 ft/s

If you free fall 111m, you will reach a maximum speed of 46.6 m/s at
111m.  However, you aren't free falling if you bungee jump and survive
;).  You free fall to a maximum speed when you reach the end of the
bungee and then begin decreasing speed until you reach the end of the
fully stretched bungee where you reach zero 0 m/s and reverse
direction.

So, if the bungee causes you to stop and reverse direction at 111m,
then maximum speed was actually reached at the length of the
unstretched bungee (i.e., the length of the bungee when hung without
your weight attached)

So, pick your bungee length and max speed:

20m 19.8m/s max
40m 28 m/s max
60m 34.3 m/s max
80m 39.6 m/s max
100 44.3 m/s max

One web site indicates that the bungee at victoria falls stretches 3
times it's length.  So, if you go the full distance of 111m and that's
three times the length of the bungee, the bungee length is 37m.

According to the eThat means the maximum speed is 26.9 m/s.

To complete the previous comment and give credit for it's calc:

Using the calculator at
http://hyperphysics.phy-astr.gsu.edu/hbase/traj.html , the maximum
speed reached by a Victoria Falls jumper going a distance of 111m with
a 37m bungee cord would be 26.9m/s.

Note: If the 37m bungee breaks, the "terminating velocity" ;) will be
something between 26.9m/s and 46.6m/s.   Happy jumping....