I'm stuck on the following question 19a)
I have to find how long the car is accelerating for however I have two unknowns whenever I try make a suvat equation, I only know
a = 1.5
u = 0
I don't know anything else for that time interval
The distance i'm giving is overall, not that for time period, and the time is overall also which doesn't help, how can I answer this question?

Sayless
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 11112015 16:51

pereira325
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 11112015 16:59
Right, i do edexcel maths but i still know how to answer this!
I think perhaps drawing a velocity time/ distance graph could help. To visualise t, and create a formula. (Im speaking crap right now, but thinking lol)
I feel like you are going to calculate the area underneath your graph, distance travelled. Axes are velocity on y, time on x. Use the trapezium formula
I feel like id write something like...
1.5T +v(30T) =313Last edited by pereira325; 11112015 at 17:05. 
Kevin De Bruyne
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 11112015 17:04
Don't worry about the trapezium rule, but yes, a diagram and the distances are key here.
Some ideas for your diagram: If it's accelerating for T seconds out of 30, how long is it going at constant velocity for?
What's the distance travelled while it's accelerating in terms of T? How about for the second part of the journey? 
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 11112015 17:21
(Original post by SeanFM)
Don't worry about the trapezium rule, but yes, a diagram and the distances are key here.
Some ideas for your diagram: If it's accelerating for T seconds out of 30, how long is it going at constant velocity for?
What's the distance travelled while it's accelerating in terms of T? How about for the second part of the journey? 
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 11112015 17:29
(Original post by Sayless)
the only thing I know to put on a velocity time graph is 30 seconds, there isn't enough data for me to do it that way 
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 11112015 17:36
(Original post by SeanFM)
There is. An acceleration of 1.5 m/s^2 means that every second the velocity has increased by 1.5 m/s (try it with v = u+at) and that goes on for T seconds.. and then whatever velocity it ends up at, it stays that way until the end of the time.
then i used s= 1/2(u+v)t
I got 312 = 1/2(1.5T+1.5T) x (30T)
312 = (1.5t)(30t)
312 = 45T  1.5T^2
1.5T^2  45T  312 = 0
T^2  30T  208 = 0
I don't know what to do next I can't factorise this 
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 11112015 17:37
(Original post by Sayless)
I'm stuck on the following question 19a)
I have to find how long the car is accelerating for however I have two unknowns whenever I try make a suvat equation, I only know
a = 1.5
u = 0
I don't know anything else for that time interval
The distance i'm giving is overall, not that for time period, and the time is overall also which doesn't help, how can I answer this question?
Using that equation, the distance the car accelerates over is
speed = distance/time
Using that, you can find
So:
That's my thinking
EDIT: with the correction it should simplify like so:
meaning
Expanding
Rearranging
Getting rid of the fraction
Is that the same quadratic?Tagged:Last edited by Andy98; 11112015 at 18:20. 
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 11112015 17:38
(Original post by Sayless)
I got v = 1.5T
then i used s= 1/2(u+v)t
I got 312 = 1/2(1.5T+1.5T) x (30T)
312 = (1.5t)(30t)
312 = 45T  1.5T^2
1.5T^2  45T  312 = 0
T^2  30T  208 = 0
I don't know what to do next I can't factorise this 
Kevin De Bruyne
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 11112015 17:44
312 is not equal to what you've written there, though your calculation is correct for part of the distance.
The vehicle also covers some distance while it is accelerating, and from your diagram you can see that it's a neat triangle, and use what you know about the area of a velocitytime graph.
(Original post by Sayless)
I got v = 1.5T
then i used s= 1/2(u+v)t
I got 312 = 1/2(1.5T+1.5T) x (30T)
312 = (1.5t)(30t)
312 = 45T  1.5T^2
1.5T^2  45T  312 = 0
T^2  30T  208 = 0
I don't know what to do next I can't factorise this 
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 11112015 17:51
(Original post by SeanFM)
312 is not equal to what you've written there, though your calculation is correct for part of the distance.
The vehicle also covers some distance while it is accelerating, and from your diagram you can see that it's a neat triangle, and use what you know about the area of a velocitytime graph.
got T^2  60 + 208 = 0
got T = 56.3 or T = 3.69 which are both wrong
i have no idea what i'm doing 
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 11112015 17:53
(Original post by SeanFM)
312 is not equal to what you've written there, though your calculation is correct for part of the distance.
The vehicle also covers some distance while it is accelerating, and from your diagram you can see that it's a neat triangle, and use what you know about the area of a velocitytime graph. 
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 11112015 17:56
(Original post by Sayless)
okay i did 1.5T^2 / 2 +1.5T(30T)=312
got T^2  60 + 208 = 0
got T = 56.3 or T = 3.69 which are both wrong
i have no idea what i'm doing
But the important thing is do you understand the method you're using and what it's finding out? 
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 11112015 18:02
(Original post by SeanFM)
In your working you have skipped a few steps, but when you multiplied everything by 4/3 you got from 0.75T^2 to 1T^2, 45T to 60T (both increases) but 312 to 208 (decrease).
But the important thing is do you understand the method you're using and what it's finding out?
yeah i think so, im basically using v= 1.5T and using the time in terms of T and 30 seconds on the velocity time graph to find the area of the graph to work out the distnace,
so 1.5T^2 / 2 is distance of accelerating and 1.5T(30T) is the distance of constant speed and the total distance is 312 so make it all = to 312 then make it = to 0, then make a quadratic equation to get 2 values, then eliminate the one higher than 30
thanks! I think I got it now 
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 11112015 18:04
(Original post by Andy98)
Using that equation, the distance the car accelerates over is
speed = distance/time
Using that, you can find
So:
That's my thinking
As for what follows I can't fully follow what you're doing, like what the t is or how you get the equation after that. But if you get the correct quadratic you've done it right. 
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 11112015 18:06
(Original post by Sayless)
got the right answer now
yeah i think so, im basically using v= 1.5T and using the time in terms of T and 30 seconds on the velocity time graph to find the area of the graph to work out the distnace,
so 1.5T^2 / 2 is distance of accelerating and 1.5T(30T) is the distance of constant speed and the total distance is 312 so make it all = to 312 then make it = to 0, then make a quadratic equation to get 2 values, then eliminate the one higher than 30
thanks! I think I got it now 
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 11112015 18:07
(Original post by SeanFM)
For the 'v' bit from the numerator you're calculating the distance travelled when the velocity is constant, but this happens for (30T) seconds rather than 30.
As for what follows I can't fully follow what you're doing, like what the t is or how you get the equation after that. But if you get the correct quadratic you've done it right. 
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 11112015 18:26
(Original post by Sayless)
got the right answer now
yeah i think so, im basically using v= 1.5T and using the time in terms of T and 30 seconds on the velocity time graph to find the area of the graph to work out the distnace,
so 1.5T^2 / 2 is distance of accelerating and 1.5T(30T) is the distance of constant speed and the total distance is 312 so make it all = to 312 then make it = to 0, then make a quadratic equation to get 2 values, then eliminate the one higher than 30
thanks! I think I got it nowLast edited by Marxist; 11112015 at 18:27. 
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 11112015 19:04
(Original post by Andy98)
Using that equation, the distance the car accelerates over is
speed = distance/time
Using that, you can find
So:
That's my thinking
EDIT: with the correction it should simplify like so:
meaning
Expanding
Rearranging
Getting rid of the fraction
Is that the same quadratic? 
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 11112015 19:04
(Original post by Marxist)
It's definitely not that quadratic. 
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 11112015 19:27
(Original post by Andy98)
Darn
therefore
once we've solved the equation(the other value of T is discarded, of course).Last edited by Marxist; 11112015 at 19:31.
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