Edexcel as level mathematics mechanics question paper 22 may 2023

Please check the examination details below before entering your candidate information Paper reference   Candidates may use any calculator allowed by Pearson regulations. Calculators must not have the facility for symbolic algebra manipulation, differentiation and integration, or have retrievable mathematical formulae stored in them. Instructions • Use black ink or ball-point pen. • If pencil is used for diagrams/sketches/graphs it must be dark (HB or B). • Fill in the boxes at the top of this page with your name, centre number and candidate number. • Answer all questions and ensure that your answers to parts of questions are clearly labelled. • Answer the questions in the spaces provided – there may be more space than you need. • You should show sufficient working to make your methods clear. Answers without working may not gain full credit. • Unless otherwise indicated, wherever a value of g is required, take g = 9.8 m s–2 and give your answer to either 2 significant figures or 3 significant figures. Information • A booklet 'Mathematical Formulae and Statistical Tables' is provided. • The total mark for this part of the examination is 30. There are 4 questions. • The marks for each question are shown in brackets – use this as a guide as to how much time to spend on each question. Advice • Read each question carefully before you start to answer it. • Try to answer every question. • Check your answers if you have time at the end. Thursday 25 May 2023 Afternoon P74090A ©2022 Pearson Education Ltd. N:1/1/1/1/ 8MA0/22 You must have: Mathematical Formulae and Statistical Tables (Green), calculator Mathematics Advanced Subsidiary PAPER 22: Mechanics Pearson Edexcel Level 3 GCE2 *P74090A0212*  1. (P) (S) 0 5 27.5 4 X Velocity (ms–1) Time (s) Figure 1 Two children, Pat (P) and Sam (S), run a race along a straight horizontal track. Both children start from rest at the same time and cross the finish line at the same time. In a model of the motion: Pat accelerates at a constant rate from rest for 5s until reaching a speed of 4 ms–1 and then maintains a constant speed of 4ms–1 until crossing the finish line. Sam accelerates at a constant rate of 1ms–2 from rest until reaching a speed of Xms–1 and then maintains a constant speed of Xms–1 until crossing the finish line. Both children take 27.5 s to complete the race. The velocity-time graphs shown in Figure 1 describe the model of the motion of each child from the instant they start to the instant they cross the finish line together. Using the model, (a) explain why the areas under the two graphs are equal, (1) (b) find the acceleration of Pat during the first 5 seconds, (1) (c) find, in metres, the length of th