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Paper Reference(s) 6677 Edexcel GCE Mechanics M1 Advanced Subsidiary Tuesday 7 June 2005 ( Afternoon Time: 1 hour 30 minutes Materials required for examination Items included with question papersMathematical Formulae (Lilac or Green) Nil Candidates may use any calculator EXCEPT those with the facility for symbolic algebra, differentiation and/or integration. Thus candidates may NOT use calculators such as the Texas Instruments TI 89, TI 92, Casio CFX 9970G, Hewlett Packard HP?48G. Instructions to Candidates In the boxes on the answer book, write the name of the examining body (Edexcel), your centre number, candidate number, the unit title (Mechanics M1), the paper reference (6677), your surname, other name and signature. Whenever a numerical value of g is required, take g = 9.8 m s(2. When a calculator is used, the answer should be given to an appropriate degree of accuracy. Information for Candidates A booklet ‘Mathematical Formulae and Statistical Tables’ is provided. Full marks may be obtained for answers to ALL questions. This paper has eight questions. The total mark for this paper is 75. Advice to Candidates You must ensure that your answers to parts of questions are clearly labelled. You must show sufficient working to make your methods clear to the Examiner. Answers without working may gain no credit. 1. In taking off, an aircraft moves on a straight runway AB of length 1.2 km. The aircraft moves from A with initial speed 2 m s–1. It moves with constant acceleration and 20 s later it leaves the runway at C with speed 74 m s–1. Find (a) the acceleration of the aircraft, (2) (b) the distance BC. (4) 2. Two small steel balls A and B have mass 0.6 kg and 0.2 kg respectively. They are moving towards each other in opposite directions on a smooth horizontal table when they collide directly. Immediately before the collision, the speed of A is 8?m?s–1 and the speed of B is?2?m?s–1. Immediately aft