General Question

luigirovatti's avatar

What do you think about this mathematical problem described (details inside)?

Asked by luigirovatti (1345points) 1 week ago

Problem and Question: 2 buildings are 50 meters apart. 60 if jumping across. There’s a 20 meter height difference with the other building. On Earth, an object can move horizontally at one speed, but due to gravity, it will increase vertical velocity at a specific rate. Now, what’s the equation for a 20-meter fall?
Answer: T equals the square root of 2s over g, T being the time, g the acceleration due to gravity, or 9,80665 m/s per second, and s the distance fallen: 20 metres. Plug these numbers in, and you get 2.02 seconds. In other words, it would take about 2 seconds to jump 20 metres.
Question: Is it possile?
Answer: We have to travel 60 meters in 2 seconds. Meaning 30 metres in 1 second, or 108 kilometers per hour. So, by foot, impossible, obviously. :-)
By car, with an optimal room’s size, possile, probably. :-)

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11 Answers

Pinguidchance's avatar

I found it moving given that it combines practical analysis with an understanding of theory.

LostInParadise's avatar

I don’t understand the question. Is it saying that the two buildings are 60 meters across and that the taller on is 20 meters taller than the other, and you want to know how fast you need to travel to get from the top of the taller one to the top of the other one?

luigirovatti's avatar

@LostInParadise: If it is possible to jump, and how.

Dutchess_III's avatar

Right off the bat this makes no sense ”2 buildings are 50 meters apart. 60 if jumping across.” Does one of the buildings jump up and scamper 10 more meters away when someone gets ready to jump?

luigirovatti's avatar

@Dutchess_III: The person, obviously, jumping, might not landing of the edge of the lower building, but, maybe, jump across.

Dutchess_III's avatar

Jump across what?

Dutchess_III's avatar

Besides the fact that it’s impossible for a human being to jump 50 meters, much less 60, you’ve introduced a variable into the equation that makes it impossible to get to an answer.

luigirovatti's avatar

@Dutchess_III: And what’s that? Anyway, I already said by foot was impossible, but by car no.

Dutchess_III's avatar

Are you talking about a car jumping the building now?

luigirovatti's avatar

@Dutchess_III: I think in mathematical terms, not practical. I talked about the various ways in which a jump in a 20 meter fall was possible.

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