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GCE MAY 2010 : AS, M1: Mechanics 1(Irish Medium)

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ADVANCED ADVANCED SUBSIDIARY (AS) General Certificate of Education January 2008 2010 Mathematics Matamaitic ag meas n assessing Module M1: Mechanics 1 Mod l M1: Meicnic 1 AMM11 Aonad Meas naithe M1 Assessment Unit M1 [AMM11] THURSDAY 17 JANUARY, AFTERNOON D M IRT 18 BEALTAINE, MAIDIN AM 1 uair 30 n im ad. TREOIR D IARRTH IR Scr obh d Uimhir L rionaid agus d Uimhir Iarrth ra ar an Leabhr n Freagra at leis seo. Freagair gach ceann de na hocht gceist. Taispe in go soil ir forbairt ioml n do fhreagra . Ba cheart na freagra a thabhairt ceart go dt 3 fhigi r bhun sacha mura ndeirtear a mhalairt. T cead agat ireamh n grafach n eola och a s id sa ph ip ar seo. EOLAS D IARRTH IRI Is 75 an marc ioml n don ph ip ar seo. L ir onn figi ir idir l ib n ar thaobh na l imhe deise de leathanaigh na marcanna at ag dul do gach ceist n do gach cuid de cheist. Ba ch ir go mbeadh l ar id le do fhreagra san it ar cu sin agus is f idir go mbronnfar marcanna orthu. Glac le g = 9.8 m s 2, mura ndeirtear a mhalairt. T c ip den leabhr n Foirml Matamaitice agus T bla ar f il. 5211.02 Freagair gach ceann de na hocht gceist. Taispe in go soil ir forbairt ioml n do fhreagra . Ba ch ir freagra a thabhairt ceart go dt 3 fhigi r bhun sacha mura ndeirtear a mhalairt. 1 T na 3 fh rsa a thaispe ntar in F or 1 th os i gcothroma ocht. PN 10 QN 30 6N F or 1 Faigh P agus Q. 2 [7] Carr at ag gluaiseacht faoi 10 m s 1 luasgh ara onn s go haonfhoirmeach faoi 5 m s 2 go dt go sroicheann s an luas 30 m s 1. Gluaiseann s faoin luas seo go ceann 5 s. Moill onn an carr ansin go ceann 10 s go dt go stopann s . (i) Tarraing graf treoluais is ama le gluaisne an chairr a thaispe int. [2] (ii) Faigh an t-am a ghlacann an carr le luasgh ar 10 m s 1 go 30 m s 1. [2] (iii) Faigh an fad ioml n a ghluais an carr. [4] 5211.02 2 [Turn over 3 T urchar dar mais 0.05 kg ag gluaiseacht go cothrom nach faoi 450 m s 1 nuair a bhuaileann s sprioc adhmaid cheartingearach. Laghda onn luas an urchair go 200 m s 1, 0.002 s i ndiaidh d an sprioc a bhualadh. (i) Faigh an t-athr i m iminteam an urchair. (ii) Faigh an f rsa friota och a fheidhm onn an sprioc ar an urchar. 4 [2] [2] Ag am t = 0 soicind, t pac iste P dar mais 4 kg ar fos ar th bla m n cothrom nach. T dh fh rsa chothrom nacha dar m id 6 N agus 10 N ag feidhmi ar P. Is 60 an uillinn idir an d fh rsa mar a thaispe ntar in F or 2 anseo th os. 6N P 60 10 N F or 2 (i) Taispe in gurb 14 N m id an fh rsa chomhthoraidh at ag feidhmi ar P. [3] (ii) Faigh m id luasgh ar an phac iste. [2] (iii) Faigh an fad a ghluaiseann P sna ch ad 3 s d ghluaisne. [2] 5211.02 3 [Tiontaigh an leathanach 5 Is 90 kg an mhais at i bplanc neamh-aonfhoirmeach PQ dar fad 6 m. T an planc ar fos ar dh thaca mh ne ag P agus Q. T fear dar mais 72 kg ina sheasamh ag pointe S ar an phlanc, agus t S 2 m ar shi l Q mar a thaispe ntar in F or 3 anseo th os. P 2m Q S F or 3 T an planc cothrom nach agus t s i gcothroma ocht. T an frithghn omh ag Q a dh oiread an fhrithghn omhaithe ag P. (i) Tarraing l ar id a thaispe nfaidh na f rsa seachtracha at ag feidhmi ar an phlanc. [2] (ii) Faigh m id an fhrithghn omhaithe ag P agus ag Q. (iii) Faigh an fad at maisl r an phlainc P. 6 [4] [5] T c ithn n P ag gluaiseacht feadh l ne d r agus ag am t soicind, tugtar a luasgh ar , a m s 2, le a = 4t 10t 3 5 Nuair at t = 0, is m s 1 treoluas P agus t s ag pointe tagartha O. 2 (i) Faigh treoluas P ag am ar bith t. [4] (ii) Faigh d l ithri ch n P O ag am ar bith t. [3] (iii) Faigh an t-am beacht a bhfilleann P ar ais go O. [4] 5211.02 4 [Turn over 7 T 3 sf ar mh ne, A, B agus C, den gha ch anna ar fos i l ne dh reach ar th bla cothrom nach m n mar a thaispe ntar in F or 4 anseo th os. A B C F or 4 Is m mais A. Is 2m mais B. Is 3m mais C. Teilgtear A i dtreo B faoi luas u. T gtar A ar fos tr imbhualadh. (i) Faigh luas B i ndiaidh an imbhuailte. [4] Imbhuaileann B le C ansin. Is 2u luas C i ndiaidh an imbhuailte. 3 (ii) Taispe in go n-imbhuailfidh B le A ar s. [4] Comhth th idh A agus B i ndiaidh an dara himbhualadh. (iii) Faigh a luas agus a dtreo deiridh. 5211.02 [3] 5 [Tiontaigh an leathanach 8 T dh bhosca, P agus Q, ceangailte le ch ile le r pa adrom neamh-ins nte a th ann thar ul g mh n dhaingnithe ag B. T P dar mais 3 kg ar fos ar phl na garbh AB. T AB claonta ar 40 leis an chothrom n. Is 0.3 an chomh ifeacht frithchuimilte idir P agus an pl na. T Q dar mais 5 kg ar fos ar phl na garbh CB. T CB claonta ar 60 leis an chothrom n. Is 0.1 an chomh ifeacht frithchuimilte idir Q agus an pl na. T AB agus BC ar an phl na cheartingearach ch anna mar a thaispe ntar in F or 5 anseo th os. B P A 3 5 60 40 Q C F or 5 Scaoiltear na bosca fhos. Sleamhna onn Q s os BC. (i) Tarraing l ar id a thaispe nfaidh na f rsa seachtracha at ag feidhmi ar P agus Q. (ii) Faigh an teannas sa r pa agus luasgh ar P. [3] [13] SEO DEIREADH AN SCR DPH IP IR 5211.02 6 [Turn over 5211.02 [Turn over

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Additional Info : Gce Mathematics May 2010 Assessment Unit M1 Module M1 : Mechanics 1 (Irish Medium)
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