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GCE JAN 2011 : AS, M1: Mechanics 1(Irish Medium)

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ADVANCED SUBSIDIARY (AS) General Certificate of Education January 2011 Matamaitic ag meas n Mod l M1: Meicnic 1 AMM11 Aonad Meas naithe M1 [AMM11] D C ADAOIN 19 EAN IR, IARN IN 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 seacht 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 111534 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 ait 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. 6223.02 Freagair gach ceann de na seacht 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 Taispe nann F or 1 th os ceithre fh rsa ag feidhmi feadh shleasa chomhthreomhar n ABCD. 8N B C 6N 5N 40 A D 10 N F or 1 (i) Faigh m id chomhthoradh na bhf rsa seo. (ii) Faigh an uillinn idir an comhthoradh seo agus slios AD. 2 [7] [2] phointe P, scaoiltear roic ad go ceartingearach in airde faoi luas tosaigh de u m s 1 T P 20 m os cionn talamh cothrom nach. Sroicheann an roic ad uasairde de 64.1 m os cionn an talaimh. (i) Faigh u. [4] (ii) Faigh an t-am ioml n a ghlacann an roic ad leis an talamh a shroicheadh. [5] 6223.02 2 [Turn over 3 Taispe nann F or 2 anseo th os dh bhloc dar mais 2m kg agus 4m kg ceangailte le sreang adrom neamh-ins nte a th ann thar ul g mh n dhaingnithe. 2m 4m F or 2 Scaoiltear an c ras fhos. (i) Tarraing l ar id lena thaispe int cad iad na f rsa seachtracha uilig at ag feidhmi ar na bloic. (ii) Faigh luasgh ar na mbloc. 4 [2] [5] Glac leis go bhfuil g = 10 m s 2 sa cheist seo. T s iteoir p l dar mais 150 kg in s id le p le dar mais 75 kg a bhualadh isteach sa talamh. Scaoiltear an s iteoir p l fhos, 11.25 m go ceartingearach os cionn an ph le (i) Taispe in go mbuaileann an s iteoir p l an p le faoi luas 15 m s 1. [3] (ii) Faigh luas coiteann an ph le agus an ts iteora p l i ndiaidh an imbhuailte. [4] Tagann an s iteoir p l agus an p le ar fos 0.1 s i ndiaidh an imbhuailte. (iii) Faigh an fhriota ocht a bh feidhmi ag an talamh. 6223.02 3 [5] [Tiontaigh an leathanach 5 T c ithn n ag gluaiseacht feadh l ne d r sa d igh go dtugtar a threoluas, v m s 1, ag am t soicind le v = 16t 3t 2 (i) Faigh na hamanna a mb onn an c ithn n ar fos ar feadh meandair. [3] Nuair at t = 0, is 10 m d l ithri ch n an ch ithn n bhunphointe tagartha, O. (ii) Faigh slonn le haghaidh dh l ithri ch n an ch ithn n O ag aon am ar bith t. [4] (iii) Faigh an fad a ghluaiseann an c ithn n sa ch ad soicind d ghluaisne. [2] (iv) Faigh uas-treoluas an ch ithn n. [6] 6223.02 4 [Turn over 6 Taispe nann F or 3 th os sci la dar mais 78 kg tharraingt suas claonadh m n ag r pa. T an claonadh claonta ar uillinn 20 leis an chothrom n. T an r pa claonta ar uillinn 60 leis an chlaonadh. 20 F or 3 D an samhail den sci la mar ch ithn n. (i) Tarraing l ar id leis na f rsa seachtracha uilig at ag feidhmi ar an sci la a thaispe int. [2] T an sci la ag gluaiseacht faoi luas tairiseach de 2 m s 1 (ii) Faigh an teannas sa r pa. [4] Nuair at an sci la 26 m bhun an chlaonta, scaoileann s a greim ar an r pa. (iii) Faigh luas an sci la nuair a shroicheann s bun an chlaonta. 6223.02 5 [5] [Tiontaigh an leathanach 7 Taispe nann F or 4 th os dr imire neamh-aonfhoirmeach, AB, ar fos i gcothroma ocht in adan an bhairr de bhalla m n ceartingearach. D anann an dr imire teagmh il leis an bhalla ag pointe C. T foirceann A ar fos ar thalamh garbh cothrom nach. Is an chomh ifeacht frithchuimilte idir an dr imire agus an talamh. Is 60 an uillinn idir an dr imire agus an cothrom n. B C 60 A F or 4 Is 10 kg mais an dr imire. T AB = 8 m. T AC = 7 m. (i) Tarraing l ar id leis na f rsa seachtracha uilig at ag feidhmi ar an dr imire a thaispe int. [2] Is 39.2 N an frithghn omh idir an dr imire agus an balla ag C. (ii) Tr mh imint a ghlacadh thart ar A, faigh an fad at maisl r an dr imire A. [4] (iii) Faigh . [6] SEO DEIREADH AN SCR DPH IP IR 6223.02 6 [Turn over 6223.02 7 [Tiontaigh an leathanach Cuireadh isteach ar chead chun an t- bhar c ipchirt uile a at irgeadh. I gc sanna irithe is f idir n r irigh le CCEA teagmh il a dh anamh le h in ir c ipchirt agus beidh s s sta na hadmh lacha sin a f gadh ar l r a chur ina gceart amach anseo ach a chur ar an eolas. 6223.02 6223.02 8 [Turn over

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Additional Info : Gce Mathematics January 2011 Assessment Unit M1 Module M1 : Mechanics 1 (Irish Medium)
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