Moderate -0.3 This is a straightforward kinematics question requiring two differentiations and then calculating a magnitude. The calculus is routine (polynomial differentiation), and the method is standard for Further Maths mechanics. It's slightly easier than average A-level due to being purely procedural with no problem-solving or conceptual challenges.
A particle P has position vector \(\mathbf{r}\) m at time \(t\) s given by \(\mathbf{r} = (t^3 - 3t^2)\mathbf{i} - (4t^2 + 1)\mathbf{j}\) for \(t \geq 0\).
Find the magnitude of the acceleration of P when \(t = 2\). [4]
A particle P has position vector $\mathbf{r}$ m at time $t$ s given by $\mathbf{r} = (t^3 - 3t^2)\mathbf{i} - (4t^2 + 1)\mathbf{j}$ for $t \geq 0$.
Find the magnitude of the acceleration of P when $t = 2$. [4]
\hfill \mbox{\textit{OCR MEI Further Mechanics Major Q1 [4]}}