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koikeeper
25 Mar 20 11:57
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Date Joined: 02 Aug 07
| Topic/replies: 25,534 | Blogger: koikeeper's blog
A question my son was given.

An electric train accelerates uniformly from rest, to reach 55km /p/h in 6mins.
Determine the total time taken to travel 10km.

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Replies: 44
By:
howard
When: 25 Mar 20 12:07
If you can work out how far it's travelled in 6 mins it should be easy. I can't !
By:
Darlo Bantam
When: 25 Mar 20 12:08
6 minutes 45 seconds. (I think).
By:
Johnny_Mustang
When: 25 Mar 20 12:10
If it's on the Jubilee Line, about three f**king hours.
By:
GLASGOWCALLING
When: 25 Mar 20 12:15
Wheres Mart when you need him . ?? Cry
By:
Ramruma
When: 25 Mar 20 12:16
Are you sure OP's son read the question right? Six minutes to accelerate to 55 kph seems absurdly slow.
By:
Willie Shafter.
When: 25 Mar 20 12:20
his sons only 7
By:
ItsMeSwaddle
When: 25 Mar 20 12:21

Mar 25, 2020 -- 12:16PM, Ramruma wrote:


Are you sure OP's son read the question right? Six minutes to accelerate to 55 kph seems absurdly slow.


Not when a few members of this forum are on board.

By:
the dealer
When: 25 Mar 20 12:27
I will guess 6mins 58 seconds
By:
koikeeper
When: 25 Mar 20 12:35
Howard, neither can I lol
By:
Willie Shafter.
When: 25 Mar 20 12:37
as ram says...approx 2 min to get to 11mph..another 2 mins to reach 23mph..another 2 mins to reach 34mph..

maybe thats irrelevant and its only for the purpose of the calculation.
By:
the dealer
When: 25 Mar 20 12:37
I was thinking, probably miles out but if you work it out per second 55 divided by 360, gives you 0.152 km per second.
By:
the dealer
When: 25 Mar 20 12:40
then again I got a D for Maths O'Grade  Laugh
By:
rooster booster
When: 25 Mar 20 12:40
Is the answer "FISH" ?
By:
koikeeper
When: 25 Mar 20 12:41
I got 0 level maths, far too long ago now though...even the grandsons homework is hard lol
By:
TheNorfolkMafia
When: 25 Mar 20 12:43
https://www.youtube.com/watch?v=s71atR_VHPs

A little something like what I wrote earlier!

Wink
By:
uwgs
When: 25 Mar 20 12:47
For the first 6 minutes the train averaged 55/2 km/ph, (the average between 0 km/ph and 55 km/ph) and so would have travelled 2.75 kms in the 6 minutes. That leaves 7.25 kms to go at 55 km/ph which would take approx another 7.9 minutes. So the 10km journey will have taken 6 minutes plus 7.9 minutes making a total of 13.9 minutes.
By:
Darlo Bantam
When: 25 Mar 20 12:50
Yeah, that's right. I forgot to divide the first half by 2 so had it travelling twice as far as it was meant to do in the first six minutes.
By:
G Hall
When: 25 Mar 20 12:51
Exactly
By:
the dealer
When: 25 Mar 20 13:00
Aye leave it to the experts, all makes sense now SadGrin
By:
irishone
When: 25 Mar 20 13:01
Need more information here ?

What sort of snow is on the line please ?
By:
koikeeper
When: 25 Mar 20 13:11
Cheers uwgs.
By:
koikeeper
When: 25 Mar 20 13:12
Dealer, you sound like me lol
By:
stewarts rise
When: 25 Mar 20 13:19
Is that correct? The train reached 55km/p/h accelerating uniformly, aren't you assuming that it will travel at 55km/p/h for the rest of the journey?
Can't recall velocity from donkeys years ago but i assumed the train would continue to accelerate.
By:
madhatters
When: 25 Mar 20 13:22
Just a slight dent in uwg methodology
If the average was 55kph then it must have travelled faster at some point
The question doesnt quote the average though
GL Grin
By:
madhatters
When: 25 Mar 20 13:23
Surprised you don't know the answer Koi
Being red hot at point to point Laugh
By:
posy
When: 25 Mar 20 13:26
average wasn't 55.....max was.....uwg is correct
By:
Willie Shafter.
When: 25 Mar 20 13:26
he said averaged 55/2 which is 27.5 kmph
By:
GLASGOWCALLING
When: 25 Mar 20 14:15
By:
pablo-fanque
When: 25 Mar 20 14:26
just out of interest , where was the train going ?
By:
1stpost
When: 25 Mar 20 14:52
It takes 6 min to reach 55km/hr and covers 2.75km......leaving 7.25 km to go @55km/hr.
i.e. 7.91 mins...total time 13.91 mins..
By:
1stpost
When: 25 Mar 20 15:01
Think of it like this...the end velocity is 55km/hr,....or approx 1 km /min.
So, to cover the whole 10 @1km/ min would take 10 mins...but its first got to reach the end speed which takes 6 min.
This takes up 2.75 km...leaving 7.25 @approx 1 km/min...
By:
madhatters
When: 25 Mar 20 15:11
Maths is not in question
Assumption of top speed is
Call Stewart R for the defence
Old proverb once told  - Assume makes an ass of u and me

Was it an essential journey btw
& did they have any egg & cress sandwiches available

Stick to me times tables Grin
By:
six_six_six
When: 25 Mar 20 15:32
11 minutes 26.49secs to 2dp

work in metres and seconds using

v = u + at
and
s=ut+at^2/2

starts from rest so u = 0

we know v (55kph at time t 6 minutes, hence derive a)
want t at s= 10k so plug in derived a and derive t
By:
rooster booster
When: 25 Mar 20 15:34
What's the voltage and how big is tthe flux capacitor
By:
breadnbutter
When: 25 Mar 20 15:50
9.166666666666 mins  would be the answer I think they are looking for but it's prob completey wrong, not had a look at the replies yet,the lack of info in the question is typical of school **** now.
By:
breadnbutter
When: 25 Mar 20 15:51
What age group is this for?
By:
breadnbutter
When: 25 Mar 20 15:53
Oops
Cell 1 Cell 2
Cell 3 Cell 4
By:
TheNorfolkMafia
When: 25 Mar 20 16:16
By:
breadnbutter
When: 25 Mar 20 16:27
It only asks how long to travel 10km, not how long to travel the first 10km of a journey.Its a trick question imo.
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