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How far could you long jump on the moon? 88 feet?
March 3, 2008

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


First person to drive around the moon and other assorted fun
March 3, 2008

Although it's a little unclear whether the Bush administration's plan to return mankind to the moon will come to fruition, I think we all know that at some point it's inevitable. One of the more obvious developments is an extended stay there, perhaps several months at a time. And when you think of people being on a moon/planet, needing to move from one place to another is important just like it is on earth. I wonder when the first road will be laid on the moon. Looking forward a little further, I find it cute to think of the first person or team to strike out driving across the whole circumference of the moon. That would be quite a historic accomplishment -- and I expect it will be done long before there is a road around the moon. 10,000 km. That's a long, dusty drive. Here are some other interesting future events to consider relating to the moon:

First person to be buried on the moon
New games invented by people on the moon to take the lessened gravity into account
First baby born on the moon (I expect that pregnant women will return to earth to have their babies, but eventually I could see this being done)
World records that pertain to things done on the moon. Maybe they'd be called "Moon records" since their not really "World" records. I could see long jump being a good one. (Obviously this would require the development of space suits that are much less restrictive) It would be fun to make a mathematical model to predict what the limits of human long jump would be on the Moon.

UPDATE: Hey cool, this article isn't too far off what I'm pondering here.


netfirms
March 3, 2008

Last Saturday my web hosting provider netfirms had an outage that lasted quite a while. Once their site (and mine) was back up, it became apparent that the database that I use as my content management system had been corrupted and lost about a year and a half of data. Great.

But wait, netfirms advertises on their website that all of there web service plans are protected by database backups. Fantastic!

Or so you would think. I have phoned them about 5 times, sent email, etc, and each time I'm told that they don't offer database restoration as a service and if they're able to help me it will take a long time because they don't have a "process" in place. Wow. You advertise database backups, but you don't have a "process" in place to restore those databases.

What a bunch of hoo-ey!

UPDATE: On May 1, netfirms finally restored the backup copy of my database. What a sigh of relief.

UPDATE: As of April 3, 2008, I have filed a complaint with the Better Business Bureau. It has been 1 month since the situation and Netfirms' has refused to correct their advertising to accurately reflect the services they provide. I've never submitted a complaint before, so this will be an interesting process.

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