modelled mathematically. (2) States that = 7 needs to be substituted or implies it by writing 3.1b 3rd 2aii M1 x = 1.7 + 0.18(7) 0.01(7)2 h – Understand how mechanics Correctly substitutes = 7 to get = 2.47 (m) A1 1.1b x h problems can be Accept awrt 2.5 (m) modelled mathematically. (2) Understands that the ball will hit the ground when = 0 or 3.1b 3rd 2b M1 h writes Understand how mechanics Realises that the quadratic formula is needed to solve the M1 1.1b problems can be quadratic. For example = 0.01, = = seen, or makes a b c modelled attempt to use the formula: mathematically. Simplifies the part to get 0.1004 or M1 1.1b Calculates = 24.84… (m) A1 1.1b x Accept awrt 24.8 (m) Does not need to show that (m) States that the ball will be called or says, for example, yes B1 3.2a ‘in’, as 24.84… < 25. (5) 2c M2 1.1b 3rd Award 1 method mark for multiplication by 1000 and 1 Understand how method mark for division by 60. mechanics problems can be 1.1b 33.3 (m s−1) or (m s−1) A1 modelled mathematically. (3) (12 marks)
modelled mathematically. (2) 2aii States that x = 7 needs to be substituted or implies it by writing h = 1.7 + 0.18(7) – 0.01(7)2 M1 3.1b 3rd Understand how mechanics problems can be modelled mathematically. Correctly substitutes x = 7 to get h = 2.47 (m) Accept awrt 2.5 (m) A1 1.1b (2) 2b Understands that the ball will hit the ground when h = 0 or writes M1 3.1b 3rd Understand how mechanics problems can be modelled mathematically. Realises that the quadratic formula is needed to solve the quadratic. For example a = 0.01, b = c = seen, or makes attempt to use the formula: M1 1.1b Simplifies the part to get 0.1004 or M1 1.1b Calculates x = 24.84… (m) Accept awrt 24.8 (m) Does not need to show that (m) A1 1.1b States that the ball will be called ‘in’, or says, for example, yes as 24.84… < 25. B1 3.2a (5) 2c Award 1 method mark for multiplication by 1000 and 1 method mark for division by 60. M2 1.1b 3rd Understand how mechanics problems can be modelled mathematically. 33.3 (m s−1) or (m s−1) A1 1.1b (3) (12 marks)
as_maths_mechanics_unit_6_ms.docx