Higher November 2024 Paper 4 Q2
2 You may use these kinematics formulae to answer these questions.
\(v = u + at\)
\(v^2 = u^2 + 2as\)
A moving particle accelerates at 2 m/s2 for 8 seconds.
The particle’s final velocity after the 8 seconds is 21 m/s.
(a) Show that the velocity of the particle at the start of the 8 seconds is 5 m/s. [2]
(b) Work out the distance travelled by the particle during the 8 seconds. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(v = u + at\) written or better e.g. \(21 = u + 2 \times 8\) | B1 | written means selected and better includes \(u = v - at\) | |
| [\(u\) =] 21 – 2 × 8 [= 5] or 21 – 16 [ = 5 ] | B1 | If 0 scored SC1 for 5 + 2 × 8 or 5 + 16 [ = 21 ] | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 104 | 3 | M2 for \(21^2 = 5^2 + 2 \times 2 \times s\) or better oe or M1 for \(v^2 = u^2 + 2as\) seen | Equivalents include e.g. 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 |