plumiVectors in mechanics: Edexcel International A Level Further Maths questions
Every Edexcel International A Level Further Maths exam question on M1.2 Vectors in mechanics, 2019–2025, with its mark scheme and examiner’s report.
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All 28 questions on Vectors in mechanics, as a list
- June 2025, AS Mechanics 1 (M1), Q2 (7 marks): [In this question i and j are horizontal unit vectors directed due east and due north respectively. Position vectors are given relative to a fixed origin.] Two
- June 2025, AS Mechanics 1 (M1), Q7 (13 marks): [In this question i and j are horizontal unit vectors.] Two boats, A and B, are each moving with constant acceleration. At time t hours after noon, boat A has v
- January 2025, AS Mechanics 1 (M1), Q1 (8 marks): A particle of mass 2.5 kg moves on a smooth horizontal plane under the action of three horizontal forces, F1, F2 and F3, where F1 = (6i + 8j) N F2 = (–16i + 2j)
- January 2025, AS Mechanics 1 (M1), Q5 (7 marks): [In this question i and j are horizontal perpendicular unit vectors and position vectors are given relative to a fixed origin.] In a game, a ball B is rolled ac
- October 2024, AS Mechanics 1 (M1), Q3 (11 marks): [In this question i and j are horizontal unit vectors and position vectors are given relative to a fixed origin.] A ship A is moving with constant velocity. At
- June 2024, AS Mechanics 1 (M1), Q2 (4 marks): Two forces, P and Q, act on a particle. • P has magnitude 10 N and acts due west • Q has magnitude 8 N and acts on a bearing of 330° Given that F = P + Q, find
- June 2024, AS Mechanics 1 (M1), Q7 (13 marks): [In this question, the horizontal unit vectors i and j are directed due east and due north respectively and position vectors are given relative to a fixed origi
- January 2024, AS Mechanics 1 (M1), Q4 (8 marks): Q P 5 3 N 150° 30° X N Figure 3 Figure 3 shows two horizontal forces P and Q acting on a particle. The angle between the direction of P and the direction of Q i
- January 2024, AS Mechanics 1 (M1), Q7 (11 marks): [In this question i and j are horizontal unit vectors directed due east and due north respectively and position vectors are given relative to a fixed origin O.]
- October 2023, AS Mechanics 1 (M1), Q4 (10 marks): [In this question i and j are horizontal unit vectors directed due east and due north respectively.] A particle P moves with constant acceleration (–λi + 2λj) m
- October 2023, AS Mechanics 1 (M1), Q6 (15 marks): [In this question i and j are horizontal unit vectors directed due east and due north respectively and position vectors are given relative to a fixed origin O.]
- June 2023, AS Mechanics 1 (M1), Q2 (10 marks): A particle P rests in equilibrium on a smooth horizontal plane. A system of three forces, F1 N, F2 N and F3 N where F1 = (3ci + 4cj) F2 = (–14i + 7j) is applied
- June 2023, AS Mechanics 1 (M1), Q8 (9 marks): A D C B O 50 m 50 m Figure 5 A square floor space ABCD, with centre O, is modelled as a flat horizontal surface measuring 50 m by 50 m, as shown in Figure 5. Th
- January 2023, AS Mechanics 1 (M1), Q3 (10 marks): A particle P is moving with constant acceleration ( ) 4 2 i j ms At time t = 0, P has velocity ( ) 14 5 1 i j − − ms (a) Find the speed of P at time t = 2 secon
- October 2022, AS Mechanics 1 (M1), Q6 (9 marks): [In this question, i and j are horizontal unit vectors.] A particle A of mass 0.5 kg is at rest on a smooth horizontal plane. At time t = 0, two forces, F1 = (–
- October 2022, AS Mechanics 1 (M1), Q8 (16 marks): [In this question, i and j are horizontal unit vectors directed due east and due north respectively and position vectors are given relative to a fixed origin O
- June 2022, AS Mechanics 1 (M1), Q6 (6 marks): A particle P is moving with constant acceleration. At time t = 1 second, P has velocity (–i + 4j) m s–1 At time t = 4 seconds, P has velocity (5i – 8j) m s–1 Fi
- June 2022, AS Mechanics 1 (M1), Q8 (17 marks): [In this question, i and j are horizontal unit vectors directed due east and due north respectively and position vectors are given relative to a fixed origin O.
- January 2022, AS Mechanics 1 (M1), Q6 (12 marks): [In this question i and j are horizontal unit vectors.] A particle P of mass 2 kg moves under the action of two forces, ( pi + qj) N and (2qi + pj) N , where p
- January 2022, AS Mechanics 1 (M1), Q8 (14 marks): [In this question i and j are horizontal unit vectors directed due east and due north respectively and position vectors are given relative to a fixed origin.] A
- October 2021, AS Mechanics 1 (M1), Q4 (8 marks): The position vector, r metres, of a particle P at time t seconds, relative to a fixed origin O, is given by r = (t – 3)i + (1 – 2t)j (a) Find, to the nearest de
- October 2021, AS Mechanics 1 (M1), Q8 (12 marks): [In this question i and j are horizontal unit vectors directed due east and due north respectively and position vectors are given relative to a fixed origin.] A
- June 2021, AS Mechanics 1 (M1), Q3 (9 marks): [In this question i and j are perpendicular horizontal unit vectors.] Three forces, F1, F2 and F3, are given by F1 = (5i + 2j) N F2 = (–3i + j) N F3 = (ai + bj)
- June 2021, AS Mechanics 1 (M1), Q5 (9 marks): [In this question i and j are perpendicular horizontal unit vectors.] A particle P is moving with constant acceleration. At 2 pm, the velocity of P is (3i + 5j)
- January 2021, AS Mechanics 1 (M1), Q5 (7 marks): A particle is acted upon by two forces F and G. The force F has magnitude 8 N and acts in a direction with a bearing of 240°. The force G has magnitude 10 N and
- January 2021, AS Mechanics 1 (M1), Q6 (12 marks): Two girls, Agatha and Brionie, are roller skating inside a large empty building. The girls are modelled as particles. At time t = 0, Agatha is at the point with
- October 2020, AS Mechanics 1 (M1), Q5 (13 marks): A particle P is moving in a plane with constant acceleration. The velocity, v m s−1, of P at time t seconds is given by v = (7 − 5t )i + (12t − 20)j (a) Find th
- January 2020, AS Mechanics 1 (M1), Q6 (11 marks): A force F is given by F = (10i + j) N. (a) Find the exact value of the magnitude of F. (b) Find, in degrees, the size of the angle between the direction of F an
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