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*Leaving Cert Applied Maths Thread*

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  • Registered Users, Registered Users 2 Posts: 7 Lucy Peden


    Well lads, this question appeared on our mocks, and it seemed to cause a bit of confusion.
    Assuming I did it right:
    s=ut + 1/2(at^2) ---- 240 = 16t --- t = 15
    s=ut + 1/2(at^2) ---- 270 = (19)(15) + 1/2(225a)
    Essentially a is a minus answer, and surely this can't be right.Someone care to show me the error of my ways?

    I attempted it and got a=-2/15


  • Registered Users, Registered Users 2 Posts: 2,827 ✭✭✭bpb101


    I haven't done applied maths for years and I attempted it. Got 64km/h/h ðŸ˜ðŸ˜‚😂😂😂


  • Registered Users, Registered Users 2 Posts: 2,827 ✭✭✭bpb101


    Right. Done it again and I get a reasonable answer. Just over 1ms/s


  • Registered Users, Registered Users 2 Posts: 2,827 ✭✭✭bpb101


    Woops I made a simple mistake.
    Maybe the guy doing it done the same. I got a minus answer of -0.138. But this could be right.
    The horse could have been catching up but easyed off. But it is misleading.


  • Registered Users, Registered Users 2 Posts: 7 Lucy Peden


    bpb101 wrote: »
    Right. Done it again and I get a reasonable answer. Just over 1ms/s

    I found the time at which mojo passes the finish line and worked out the answer from that, he passes 10 metres before starlight and so it work out to be 15 seconds, then I used s=ut + 0.5at^2 and solved for a


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  • Closed Accounts Posts: 165 ✭✭ignorance is strength


    As Lucy said, answer is -0.13 m/s^2, which is got using the method you give. Not sure why you think a negative value is illogical. If you visualise the race on a velocity-time graph, despite a decreasing velocity, "Mojo" remains faster than "Starlight" throughout.


  • Registered Users, Registered Users 2 Posts: 99 ✭✭Account Number


    Thanks, lads -2/15 was the value I got as well, I just thought it wasn't right because the question said Mojo sped up, implying a positive acceleration. I guess I just gave it a bit toooo much thought..:P Thanks anyway :D


  • Closed Accounts Posts: 165 ✭✭ignorance is strength


    Thanks, lads -2/15 was the value I got as well, I just thought it wasn't right because the question said Mojo sped up, implying a positive acceleration. I guess I just gave it a bit toooo much thought..:P Thanks anyway :D

    I hadn't noticed that. I think you're right and it's a mistake in the question.


  • Registered Users, Registered Users 2 Posts: 2,827 ✭✭✭bpb101


    Thanks, lads -2/15 was the value I got as well, I just thought it wasn't right because the question said Mojo sped up, implying a positive acceleration. I guess I just gave it a bit toooo much thought..:P Thanks anyway :D
    i would say they mixed up mojo and starlight's speeds


  • Closed Accounts Posts: 165 ✭✭ignorance is strength


    Easily done. Mojo's got some speed on him.

    But I imagine it might have happened during the editing stage of the question -- either the figures were retrospectively changed so as to make the acceleration negative, and the verb wasn't changed, or the verb was added by someone not familiar with the answer. It might have read something like, "Mojo catches up with an acceleration...", and that, in the edit, that was seen to be imprecise because Mojo continues the negative acceleration after the overtake. (Obviously just speculation.)


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  • Registered Users, Registered Users 2 Posts: 7 Lucy Peden


    Did anybody manage to show in the projectile question that the initial speed was 28.6m/s? I ve been trying to get it out but must be missing something


  • Closed Accounts Posts: 165 ✭✭ignorance is strength


    Lucy Peden wrote: »
    Did anybody manage to show in the projectile question that the initial speed was 28.6m/s? I ve been trying to get it out but must be missing something

    Will you post the question?


  • Registered Users, Registered Users 2 Posts: 7 Lucy Peden


    Will you post the question?

    The first part of that


  • Registered Users, Registered Users 2 Posts: 7 Lucy Peden


    Don't think it sent


  • Closed Accounts Posts: 165 ✭✭ignorance is strength


    I think it’s fairly standard. You’re probably just making a trivial error somewhere.

    Sx = ucosAt = 52.8, from which you get t = 57.2/u. And then inputting that value for t into Sy = usinAt - gt^2/2 = 2.4 gives you the answer for u.

    The second part is somewhat unclear because in reality the answer ought to be the range of values for x between the two times the ball’s height equals the goalkeeper’s reach. It also assumes that any contact between the keeper and the ball will prevent a goal.


  • Registered Users, Registered Users 2 Posts: 1 randomuniquser


    How did everyone find the Applied Math mock ?

    I personally didnt think it was too bad but q6 (a) wording was quite difficult to understand.
    So I chose to do q5 instead.

    q9,q10,q2,q1 were pretty easy but 3 part b and 5 part (b) (i) i found a bit tricky.


    Overall the paper was pretty fair I think but I don't think it accurately represents what is going to come up in the LC.

    Does anyone else feel the same?


  • Registered Users, Registered Users 2 Posts: 99 ✭✭Account Number


    Anyone care to point out where I'm forgetting to carry the one?:p
    2017 Paper Q3 (a)(i) I have up to:
    (9gh/2)^1/2sin(a)(3h/(9gh/2)^1/2 cos(a))- g/2 (3h/(9gh/2)^1/2 cos(a))^2 (Sorry that's probably one of the ugliest things ever to read), and I can't seem to get the right answer out of it. I keep ending up with tan^2(a)-12tan(a) +3, which doesn't get me the right answer.The marking scheme subs in u for the speed, but I can't make out where it's coming from


  • Registered Users, Registered Users 2 Posts: 284 ✭✭skippy1977


    It seems to be right...I used the same method, it might just be the way you are tidying up? Here is what I have if it is any help.

    2017-Q3-a.jpg


  • Registered Users, Registered Users 2 Posts: 320 ✭✭lostatsea


    skippy1977 wrote: »
    It seems to be right...I used the same method, it might just be the way you are tidying up? Here is what I have if it is any help.

    2017-Q3-a.jpg

    Congratulations on your beautifully presented solutions.


  • Registered Users, Registered Users 2 Posts: 99 ✭✭Account Number


    Hello, me again. Quickly trying to cover a final topic, in the run up, and am in the middle of Q8. Anyway came across a q in the Oliver Murphy book, which I can't seem to make sense of.Ex 14B Q7 7(ii) I understand it's a form of potential energy, but I can't work out where the h values are coming from.Sorry this is probably a stupid question, but I can't work it out for the life of me:o and I couldn't find a video from our friend on YouTube on it:o


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  • Registered Users, Registered Users 2 Posts: 2,827 ✭✭✭bpb101


    452553.png


  • Registered Users, Registered Users 2 Posts: 99 ✭✭Account Number


    bpb101 wrote: »
    452553.png
    Thanks, much appreciated, :) but I meant 14B with the uniform rod PQ :o. I have the solution for it, I'm just trying to work out where they're getting the values for h1 and h2 from, in the formula.:o


  • Registered Users, Registered Users 2 Posts: 2,827 ✭✭✭bpb101


    Been so long, i forgot there was parts to the chapters

    I have all the solutions worked out, so give us a shout if you want a particular answer or pm me and i can send them to you

    452759.png


  • Registered Users, Registered Users 2 Posts: 70 ✭✭Celtron


    What questions are ye all doing? I've covered 1,2,3,4,5,6 and 10, been told 9 is very doable, should I bother starting it now or would I just be wasting time?


  • Registered Users, Registered Users 2 Posts: 53 ✭✭lundrum


    We're doing 1,2,3,4,5,9 and 10. I'm not sure if there's enough time to start on 9 now but fwiw I think it's among the easiest of the questions we've done most years.


  • Registered Users, Registered Users 2 Posts: 9 Thr000w


    We've done 1 through 6 and 10.


  • Registered Users, Registered Users 2 Posts: 53 ✭✭lundrum


    What did everyone think of that? My H1 is down the drain I'd say :)


  • Registered Users, Registered Users 2 Posts: 6 Curiouscircus


    lundrum wrote: »
    What did everyone think of that? My H1 is down the drain I'd say :)

    Same, no hope of my H1 after that. V difficult. Ended up running out of time as well.


  • Registered Users, Registered Users 2 Posts: 53 ✭✭lundrum


    Same, no hope of my H1 after that. V difficult. Ended up running out of time as well.

    Which questions did you do? I did 1,3,4,5,9 and 10 and a really pathetic attempt at 2 that was basically just a waste of time


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  • Registered Users, Registered Users 2 Posts: 6 Curiouscircus


    lundrum wrote: »
    Which questions did you do? I did 1,3,4,5,9 and 10 and a really pathetic attempt at 2 that was basically just a waste of time

    I did 1,2,3,4,5,10

    Oh yeah like I read part b of question 2 completely wrong. Misinterpreted it so badly I don’t even think I got any marks for it
    Questions 10 and 3 were nice enough though


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