How far could you long jump on the moon? 88 feet?

On earth, people are able to long jump roughly 30 feet = 9 meters

How far a person can jump is a combination of how fast they are running when they leave the ground and how long they are in the air.

How long they are in the air depends on how high they jump

Said differently, the higher a person jumps, the longer they are in the air, and thus the further their forward speed caries them

I looked up some footage of the olympics on Google Video and it appears that jumpers are airborn for about 0.8 seconds

9 metres / 0.8 seconds = 11.25 metres / second = 40 km/h. This speed feels a bit high to me, so perhaps they are airborn for longer than 0.8 seconds, but we can make a reasonable estimation using this figure.

How high do they jump?

2*t = 0.8 (The total time airborn)
  t = 0.4 (The time taken to fall from maximal height)

  t = sqrt( 2 * d / 9.8 )
t^2 = 2*d / 9.8
  d = ( 9.8 * t*t ) / 2
    = ( 9.8 * 0.4*0.4 ) / 2
    = 0.784 metres (2.57 feet)

How fast are they moving upward when they leave the ground?

v = t * a
= 0.4 * 9.8
= 3.92 metres/second = 14 km/h

The force of gravity on the moon is 1/6th that of Earth's

9.8 / 6 = approx 1.63 m/s/s

How long would it take a jumper to reach their apex if they jumped upward at 3.92 m/s on the moon?

t = v / g
= 3.92 / 1.63
= 2.4 s

How high would they go if they jumped upward at 3.92 m/s on the moon?

d = ( 1.63 * t*t ) / 2
= ( 1.63 * 2.4*2.4 ) / 2
= 4.7 metres = 15 feet (!)

In conclusion, how far, approximately, could a person jump on the moon given a 40 km/h running speed and 2.4s of air time?

d = v * t
  = 11.25 m/s * 2.4 s
  = 27 meters
  = 88 feet