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Constant Acceleration
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Re: Constant Acceleration
Overthinking...my aopolgies.
Casting Definitions
Many men go fishing all of their lives without knowing that it is not fish they are after.
Many men go fishing all of their lives without knowing that it is not fish they are after.
Re: Constant Acceleration
I think this thread is highlighting the difference between pure mathematics and what's practical in real life. When terms like 'constant acceleration' are used the pure mathematician sees a step function i.e. at time zero the acceleration is increased from zero to whatever the constant rate is. When you subsequently differentiate a step function you end up with an infinity solution, i.e. a massive jerk (where 'jerk' is used to describe the differential of acceleration, or the third differential of position if you prefer). As far as I'm aware, the human body cannot just jump to an acceleration rate (nor can any machines that I know of) therefore constant acceleration at times near zero simply cannot happen.
Graeme - your example reminds me of a question I used to ask at interviews - if a plane travels to it's destination at 400mph and comes back at 600mph, what is it's average speed for the round trip. The answer being 480mph - amazing how many very well educated people struggled with that one.
James
Graeme - your example reminds me of a question I used to ask at interviews - if a plane travels to it's destination at 400mph and comes back at 600mph, what is it's average speed for the round trip. The answer being 480mph - amazing how many very well educated people struggled with that one.
James
Re: Constant Acceleration
… and the average velocity is zero. (But I guess that was the second most common answer.)
FFi CCI
Re: Constant Acceleration
The right answer is 417 kts, planes don't do mph And you would have to specify if that is TAS, CAS, EAS or Groundspeed
“Any intelligent fool can make things bigger, more complex, and more violent. It takes a touch of genius — and a lot of courage — to move in the opposite direction.” — Ernst F. Schumacher
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Re: Constant Acceleration
So...
if I had to get out a pencil and paper to figure that out... does that prove or disprove I'm well educated?
if I had to get out a pencil and paper to figure that out... does that prove or disprove I'm well educated?
With appreciation and apologies to Ray Charles…
“If it wasn’t for AI, we wouldn’t have no I at all.”
“If it wasn’t for AI, we wouldn’t have no I at all.”
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Re: Constant Acceleration
Me too...I'm going back into my cage.
Casting Definitions
Many men go fishing all of their lives without knowing that it is not fish they are after.
Many men go fishing all of their lives without knowing that it is not fish they are after.
Re: Constant Acceleration
That depends entirely on what you do with the pencilMangrove Cuckoo wrote: ↑Mon Sep 18, 2023 4:16 pm So...
if I had to get out a pencil and paper to figure that out... does that prove or disprove I'm well educated?
“Any intelligent fool can make things bigger, more complex, and more violent. It takes a touch of genius — and a lot of courage — to move in the opposite direction.” — Ernst F. Schumacher
https://www.sexyloops.com/index.php/ps/ ... f-coaching
https://www.sexyloops.com/index.php/ps/ ... f-coaching