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13 Nov 2018

Leaving Certificate Examination 1956 Honours Applied Mathematics

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Question 1

A warship is travelling on a course quicklatex.com-f643069adb772a4896813c16b313ad05_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds East of North. To an observer on a liner travelling due East at quicklatex.com-8a0f60b8ca3ec09a3984d53508863c9a_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds knots the warship appears to be moving due North. Find the speed of the warship.

In what direction should the warship travel at that speed so that it would appear to the observe to be moving North-Eastwards?

Question 2

quicklatex.com-0583d6d2788896443d34c799ae91c2df_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds is an equilateral triangle. Forces of quicklatex.com-e2160dde8a98fb45301e4e1674e830fa_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds, quicklatex.com-1ee1c2caec46fc384f9e0e830a2e8b84_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds, quicklatex.com-edeca52e97715225ceecec173423f15e_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds lb. wt act along the lines quicklatex.com-ef15da5ad110b3b57097bbc0518f5eef_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds, quicklatex.com-3675ba693016b80ac93fbf734e15678b_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds, quicklatex.com-371fe833e9a89e2790fc66adb618b944_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds respectively. Find the magnitude of the their resultant.

Show that the line of action of their resultant cuts quicklatex.com-ef15da5ad110b3b57097bbc0518f5eef_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds and quicklatex.com-371fe833e9a89e2790fc66adb618b944_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds internally and quicklatex.com-156c32c8826a40241f75e66f5f0ad483_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds externally, and find the angle which it makes with quicklatex.com-156c32c8826a40241f75e66f5f0ad483_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds produced.

Question 3

A uniform ladder is quicklatex.com-739f6781b65065fc445d5f13b544d6b2_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds feet long and weighs quicklatex.com-7bc4f1f0f4c11887bbe547ac256853e5_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds lb. It rests with one end in contact with a rough horizontal plane (coefficient of friction quicklatex.com-9a61841f2abe3e6f5e5b707bbfade7f4_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds) and the other end in contact with a rough vertical wall (coefficient of friction quicklatex.com-d87274adcc3e9b397c1d81918125c810_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds). If the bottom of the ladder is quicklatex.com-2b18fa15a2f284d990fd81b9cae524ce_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds feet out from the wall, how far can a man who weighs quicklatex.com-be301ec97f81159c0886c0fbdb16c47b_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds6quicklatex.com-2c863f8fd60440c95b8c1d9fe312c98a_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds3quicklatex.com-008394dd67c621d2eb6728ed669928ca_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds30^\circquicklatex.com-6c359ced9cbc87539ac79a4e7fda7444_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds3quicklatex.com-1340c04015d4c0b410e0fae05728a43e_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds2quicklatex.com-cc09177dd5556ee8de4d154c27f1ed29_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds2\frac{1}{2}quicklatex.com-eea6a03c6e7e212c70fa8f13e8323357_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grindst_1quicklatex.com-6b901d7bd771c3dcefb9fc3efb22b086_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds2quicklatex.com-69b2136ef1fdfe4b0e00c53ca5ef4859_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grindst_2quicklatex.com-587efcc6240fdb31107b3a0685fb892c_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grindst_1quicklatex.com-9440128150d94e83f5ad9620e6a50d89_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grindst_2quicklatex.com-b412d5c4a6edafcd22ca3dacc174c934_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds2quicklatex.com-8ea6ea333f772bbb453d1325f2adc9cb_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths GrindsABCDEquicklatex.com-7d30f552ec4196016e27aa5cbaf4e74e_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths GrindsABEquicklatex.com-22f15c2e3d514c262309f8d37a4945be_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds4quicklatex.com-2f99adff3216399edad3b472012d9ae8_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths GrindsBCDEquicklatex.com-cbb576660eba2d305562c65235043937_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths GrindsBC=1quicklatex.com-db6ded47331f3a321976a6474cb1e6ca_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths GrindsCDquicklatex.com-d4ebc9ee0027c90a86ac7141565cd1e3_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths GrindsALMquicklatex.com-3940277ce92a2181b96dbdf9a37147c2_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths GrindsAL=AM=2quicklatex.com-33fa5e5ece0b938b0f4c5d1be6be5713_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths GrindsCDquicklatex.com-fadecf8250b79c8c7f0c43fa1a07e5be_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds18quicklatex.com-4688a5debf796774a378bcbcb462cf85_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds300quicklatex.com-b644bf7b56bdf090d012a5ce7f378c33_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grindsvquicklatex.com-bf1606b1de2fdb6091f641c48e1ed1f1_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds2\frac{3}{4}quicklatex.com-d944f310181be80f4b7e8b5174ee07a3_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grindsvquicklatex.com-94f367cf4708c4d8008b6b08f571200e_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds10quicklatex.com-39213b861f324ba9fee2f6b20a7aa0aa_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths GrindsCquicklatex.com-529d40d518cd1c050760a9edad8973c2_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds15quicklatex.com-346445e86467ca1e248d66c421a1a15c_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths GrindsBquicklatex.com-33ce54904c6a1ffa9f1a34f711587385_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths GrindsCquicklatex.com-616a1abbeedfe740b929b1f6b0ccacef_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds20\sqrt{2}quicklatex.com-d78bdb08fed0724815fc714de4aaa410_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grindshquicklatex.com-383445491ad2b7d5e9e2d07fe698137a_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths GrindsBquicklatex.com-0e237fabc5df7521923eecfa658c322a_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grindsh=6quicklatex.com-1678ce9c37e5ffb4ab0cd1c1a80448bf_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grindshquicklatex.com-1f6a5300757146ff653d63ee579811a8_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grindsxquicklatex.com-91fdcfd1746d13236fb35a8a1762b248_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grindst

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ABCDquicklatex.com-f472f1f41cc48706ddb453db09ddcacc_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths GrindsAD=6quicklatex.com-d6de77e17c60211de739ad44b8ed59ae_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths GrindsAB=5quicklatex.com-d6de77e17c60211de739ad44b8ed59ae_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths GrindsCD=11quicklatex.com-08309afcefebd219cc921521abaaf446_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds\hat{BAC}=\hat{CDA}=90^\circquicklatex.com-9fb9c7a359ec307bacce9913c0f59788_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths GrindsADquicklatex.com-aad0b1a808ed47a2276c4ddb53997853_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths GrindsADquicklatex.com-bbee53ecc55b3c4aca22e05d9c6cce70_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grindsxquicklatex.com-c04e36dc42b4ccce5366dbed3d78b0c5_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths GrindsBquicklatex.com-0d0759aa8e164e38d54821f733daad00_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grindsxquicklatex.com-103b96196924024eb888ae9d869311ff_l3 | Leaving Certificate Examination 1956 Honours Applied Mathematics | Maths Grinds62.5$ lb.]


Citation:

State Examinations Commission (2018). State Examination Commission. Accessed at: https://www.examinations.ie/?l=en&mc=au&sc=ru

Malone, D and Murray, H. (2016). Archive of Maths State Exams Papers. Accessed at: http://archive.maths.nuim.ie/staff/dmalone/StateExamPapers/

Licence:

“Contains Irish Public Sector Information licensed under a Creative Commons Attribution 4.0 International (CC BY 4.0) licence”.

The EU Directive 2003/98/EC on the re-use of public sector information, its amendment EU Directive 2013/37/EC, its transposed Irish Statutory Instruments S.I. No. 279/2005, S.I No. 103/2008, and S.I. No. 525/2015, and related Circulars issued by the Department of Finance (Circular 32/05), and Department of Public Expenditure and Reform (Circular 16/15 and Circular 12/16).

Note. Circular 12/2016: Licence for Re-Use of Public Sector Information adopts CC-BY as the standard PSI licence, and notes that the open standard licence identified in this Circular supersedes PSI General Licence No: 2005/08/01.

Links:

https://circulars.gov.ie/pdf/circular/per/2016/12.pdf

https://creativecommons.org/licenses/by/4.0/legalcod

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