M2 June 2006.doc

Paper Reference(s) 6678/01 Edexcel GCE Mechanics M2 Advanced Subsidiary Tuesday 6 June 2006 ( 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 M2), the paper reference (6678), 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 8 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. A particle P moves on the x-axis. At time t seconds, its acceleration is (5 – 2t)?m?s–2, measured in the direction of x increasing. When t = 0, its velocity is 6 m s–1 measured in the direction of?x increasing. Find the time when P is instantaneously at rest in the subsequent motion. (6) 2. A car of mass 1200?kg moves along a straight horizontal road with a constant speed of?24?m?s–1. The resistance to motion of the car has magnitude 600 N. (a) Find, in kW, the rate at which the engine of the car is working. (2) The car now moves up a hill inclined at ( to the horizontal, where sin ( =