Higher November 2022 Paper 4 Q10
10 You may use these kinematics formulae to answer this question.
\[v = u + at\]\[s = ut + \frac{1}{2}at^2\]A particle has an initial velocity of 3 m/s.
After 20 seconds the particle has a velocity of 11 m/s.
Work out the distance the particle has travelled after 20 seconds, in m. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 140 | 4 | M1 for 11 = 3 + 20\(a\) oe implied by [0].4 A1 for [\(a\) = ] [0].4 M1 for 3 × 20 + \(\frac{1}{2}\) × their 0.4 × \(20^2\) Alternative method M3 for 3 × 20 + \(\frac{1}{2}\) × (11 – 3) × 20 oe OR M1 for 3 × 20 M1 for \(\frac{1}{2}\) × (11 – 3) × 20 M1 for their (3 × 20) + their (\(\frac{1}{2}\) × (11 – 3) × 20) | Condone one error in second M1. If their \(a\) is clearly stated do not count as an error. Equivalent includes \(\frac{1}{2}\)(11 + 3) × 20 may be implied by 60 may be implied by 80 |