| Exam Board | OCR |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2008 |
| Session | January |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Variable acceleration (1D) |
| Type | Verifying given motion properties |
| Difficulty | Moderate -0.8 This is a straightforward mechanics question requiring only basic differentiation (finding v and a from s) and substitution of t=2. Part (i) involves verifying given facts rather than discovering them, and part (ii) is direct calculation with no problem-solving required. Below average difficulty due to its routine, algorithmic nature. |
| Spec | 3.02f Non-uniform acceleration: using differentiation and integration |
4 The displacement of a particle from a fixed point $O$ at time $t$ seconds is $t ^ { 4 } - 8 t ^ { 2 } + 16$ metres, where $t \geqslant 0$.\\
(i) Verify that when $t = 2$ the particle is at rest at the point $O$.\\
(ii) Calculate the acceleration of the particle when $t = 2$.
\hfill \mbox{\textit{OCR M1 2008 Q4 [8]}}