Q Scheme Marks AOs Pearson Progression Step and Progress descriptor 1a States correct answer: 5.3 (m s−1) B1 2.2a 4th Understand the difference between a scalar and a vector. (1) 1b States correct answer: −4.8 (m s−1) B1 2.2a 4th Understand the difference between a scalar and a vector. (1) 1c States correct answer: −30 (m) B1 2.2a 4th Understand the difference between a scalar and a vector. (1) (3 marks) Notes Q Scheme Marks AOs Pearson Progression Step and Progress descriptor 2ai States that x = 0 needs to be substituted or implies it by writing M1 3.1b 3rd Understand how mechanics problems can be Correctly substitutes x = 0 to get h = 1.7 (m) A1 1.1b
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)
Notes 2ai Award both marks for a correct final answer. 2aii Award both marks for a correct final answer. 2b is also acceptable. 2b Award the third method mark even if this step is not seen, providing the final answer is correct. Q Scheme Marks AOs Pearson Progression Step and Progress descriptor 3a Understands that the pole vaulter will land when h = 0 or writes M1 3.1b 3rd Understand how mechanics problems can be modelled mathematically. Correctly factorises to get o.e. M1 1.1b Solves to get (m) Accept awrt 10.4 (m) A1 1.1b (3) 3b States that the greatest height will occur when x = 5.20…(m) M1 3.1b 3rd Understand how mechanics problems can be modelled mathematically. Makes an attempt to substitute x = 5.20…into the equation for h. For example, seen. M1 1.1b h = 5.42…(m) Accept awrt 5.4 (m) A1 ft 1.1b (3) 3c States h = 4.9 or states that M1 3.1b Simplifies this to reach o.e. M1 1.1b Realises that the quadratic formula is needed to the quadratic. For example seen, or makes attempt to use the formula: M1 1.1b Simplifies the part to get 1513 or shows M1 1.1b x = 6.82…(m) Accept awrt 6.8 (m) A1 1.1b
direction of a vector quantity. Demonstrates an understanding that these two values need to be added. For example, 84.75… + 130.86… is seen. M1 1.1b 215.62… (m) Accept anything which rounds to 216 (m) A1 1.1b (4) 4b States that (m) Award one point for each value. B2 3.1b 4th Find the magnitude and direction of a vector quantity. States or implies that M1 1.1b Accept awrt 43.0° A1 1.1b (4) (8 marks) Notes Q Scheme Marks AOs Pearson Progression Step and Progress descriptor 5a an attempt to find the absolute value. For example, is seen. M1 3.1b 4th Find the magnitude and direction of a vector quantity. Simplifies to M1 1.1b Finds speed = 26.07… (ms−1) Accept awrt 26.1 (ms−1) A1 1.1b (3) 5b States that M1 1.1b 4th Find the magnitude and direction of a vector quantity. Finds the value of θ, θ = 57.52… A1 1.1b Demonstrates that the angle with the unit j vector is 90 – 57.52… M1 1.1b Finds 32.47… (°) Accept awrt 32.5(°) A1 1.1b