I was reading through Slate's New Astronaut Screening Test, when question 7 stumped me:
7. A space shuttle travels at approximately 15,000 mph. A BB pellet has a velocity of about 50 feet per second. If a space shuttle were launched from Houston and a BB gun were fired simultaneously, which would hit the boyfriend-thieving bitch in the Orlando airport satellite parking lot first?
Clearly, there's not enough information in the question. Where is the BB gun located? The question might indicate that both the shuttle and gun are in Houston, but is that a valid assumption?
There's another problem. The space shuttle's velocity is given as approximately 15,000 mph, but the question states that it is launched from Houston. The shuttle does not instantaneously reach orbital velocity. On the other hand, for standard orbits about 250 miles above the Earth, the shuttle velocity is closer to 17,000 mph. This presents a significant difficulty.
BB guns have a limited range. With a velocity of 50 fps, and using
x=v02sin(2Θ)/g
and (ignoring air friction) the optimum Θ is 45° and sin2Θ =1, so we have 2500 ft2*(sec2)/32 ft*(sec2)=(2500/32)ft or 78 ft. Obviously a cheep BB gun, as Olympic-level BB guns have a much greater range. Using "significant figures," we can call it 80 ft.
So it would appear the answer is "For any instance where the BB gun is more than 80 feet away, the answer must be 'The space shuttle will strike the target first.'"
But, one must remember that all shuttle launches take place from the Cape Kennedy space center. You can land the space shuttle almost everywhere, although landing on Rapa Nui would create many difficulties, assuming you didn't run into one of the giant heads. You could even land the shuttle at Pittsburgh International, although you can pretty much forget your luggage if that happens.
You can land the shuttle anywhere. You can only launch it from Cape Kennedy. At one time, there were plans to launch from Vandenberg, but those were scrapped. If you were going to launch from Houston, you would have to build the launch infrastructure there first, including (one would assume) a Vehicle Assembly Building.
The person with a BB gun could get in a car and drive to the Orlando airport and get within 80 feet long before the space shuttle was launched — and I didn't even discuss the shuttle's less-than-stellar record of launching on time. You wouldn't even have to wear diapers during the drive.
Stop some place along the way and have a nice dinner and reconsider whether you want to shoot someone with a BB gun. I don't think you do. You can kill someone with a BB gun, but it takes a lucky shot. If you really wanted to kill someone, you'd get a modified Tech-9 from the corner dealer. (Sorry, all the corner dealers I know are either dead or in prison.) You could have done that, but you didn't.
Enjoy your dinner, turn around, and head back to Houston. Really, the jerk shuttle commander's too good for you. Don't throw away your life on him. Go to a nice salon, get a really good cut and dye job (with highlights) and manicure and pedicure, buy an absolutely drop-dead little black dress, and then go back to your husband and make him beg.
Tomorrow, find out what lawyer the jerk shuttle commander's wife is using and call him up, offering to testify in the divorce.
See? These problems aren't hard at all! All you need is a little basic knowledge about the space program.






