Higher June 2023 Paper 6 Q2
2
(a) Rearrange this formula to make \(u\) the subject.\[v^2 = u^2 + 2as\] [2]
(b) A rocket accelerates at 90 m / s2 and travels 270 km.
The rocket’s final velocity is 8000 m / s.
The rocket’s final velocity is 8000 m / s.
Using part (a), or otherwise, calculate the rocket’s initial velocity in m / s. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(u = [\pm]\sqrt{v^2 - 2as}\) as final answer | 2 | M1 for [\(u^2\) =] \(v^2 - 2as\) |  |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 3924 to 3924.3 | 3 | M2 for \(\sqrt{8000^2 - 2 \times 90 \times 270000}\) or M1 for \(\sqrt{8000^2 - 2 \times 90 \times \text{figs } 27}\) or \(8000^2 - 2 \times 90 \times 270000\) or \(8000^2 = u^2 + 2 \times 90 \times 270000\) or for correct substitution seen of \(v = 8000\), \(a = 90\) and \(s\) = figs 27 in their final answer to part (a) If 0 scored SC1 for 7996 to 7997 as final answer | Condone 3920 as final answer for full marks, following M2 For SC1, condone 8000 following 7996 to 7997. |