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General => IHADAV8 Playground => Topic started by: reality on October 03 2021, 09:13:27 PM

Title: math ?
Post by: reality on October 03 2021, 09:13:27 PM: we have a hill. It's 1 mile up and 1 mile down. constant grade.

My car is lacking power so can only average 15mph going up. How fast do I have to go down to average 30mph

Hint; the answer is not 45 mph.
Title: Re: math ?
Post by: Steve Wood on October 04 2021, 10:00:50 AM: Wertheimer was a tricky bastard
Title: Re: math ?
Post by: reality on October 04 2021, 11:36:14 AM: Yep; but it proves you have to think way outside of the box some [all] times.
Title: Re: math ?
Post by: Steve Wood on October 04 2021, 11:41:20 AM: for sure
Title: Re: math ?
Post by: Shimy87 on October 04 2021, 01:05:27 PM: assuming your not starting from a standstill going up and not stopping at the bottom.....my guess is 60mph
Title: Re: math ?
Post by: Forzfed on October 04 2021, 01:19:08 PM: Constant grade tells me we are working with a triangle with 60' corners. Your car weight is constant. You minus gravity at a grade of 60' going up hill to obtain your final velocity and subtract it down hill to find the final velocity. I just wokeup from night shift other wise I would attempt to solve it. :icon_smile:
Title: Re: math ?
Post by: Steve Wood on October 04 2021, 01:30:39 PM: You averaged 15 going up and you want to average 30 for the entire trip.
Title: Re: math ?
Post by: jonasterg on October 04 2021, 03:53:27 PM: It's a tricky one because you need to realize speed is distance/time. You want to double the speed and you're going to travel double the distance... so the total time can't change. Strap on your rocket boots.
Title: Re: math ?
Post by: Steve Wood on October 04 2021, 05:36:09 PM: more likely to need a worm hole!
Title: Re: math ?
Post by: daveismissing on October 04 2021, 08:02:15 PM: So I've used up all my time and now you want me to go twice as far. Government math?
Title: Re: math ?
Post by: reality on October 04 2021, 08:57:10 PM: Quote from: daveismissing on October 04 2021, 08:02:15 PM
So I've used up all my time and now you want me to go twice as far. Government math?

Truckers are expected to do that every day,
And they wonder why there is a shortage.
Title: Re: math ?
Post by: Shimy87 on October 05 2021, 09:22:05 AM: so when do we get the answer/explanation
Title: Re: math ?
Post by: Steve Wood on October 05 2021, 10:02:53 AM: I think Jonasterg and Dave have already figured it out. It's Ron's thread so it is up to him but you have to do some calculating. You have average velocities and you have distances so ...
Title: Re: math ?
Post by: reality on October 05 2021, 10:31:39 AM: https://fs.blog/2014/06/einstein-wertheimer-car-problem/
Title: Re: math ?
Post by: reality on October 05 2021, 10:36:56 AM: I also like this statement

What was Max Wertheimer theory?
Image result for wertheimer and einstein
Max Wertheimer was one of the founding members of Gestalt psychology. According to his theory on Gestalt psychology, “There are wholes, the behavior of which is not determined by that of their individual elements, but where the part-processes are themselves determined by the intrinsic nature of the whole.
Title: Re: math ?
Post by: Shimy87 on October 05 2021, 11:40:53 AM: tricky
Title: Re: math ?
Post by: Steve Wood on October 05 2021, 02:37:43 PM: Not only tricky, but hard to believe. But the math is the math... I have seen it before and I still have difficulty in comprehending that the four minutes has already been used damned shrinks are not to be trusted
Title: Re: math ?
Post by: Shimy87 on October 05 2021, 03:38:32 PM: love the shrinks comment :rofl: :rofl: :rofl: :rofl:
Title: Re: math ?
Post by: reality on October 05 2021, 04:41:51 PM: Is time the 4th dimension?

The human mind has it's limitations.

Is there a connection between gravity and dark matter?

HAHAHA
Title: Re: math ?
Post by: nocooler on October 05 2021, 08:42:30 PM: Some minds are limited more than others!