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3.2.10 Extend 1-D techniques to 2-D using vectors (A-level only)

Question 10

At time $t$ seconds a particle, $P$ , has position vector $r\mathbf{r}$ metres, with respect to a fixed origin, such that

\mathbf{r} = (t^3 - 4t^2)\mathbf{i} + (12t - t^2)\mathbf{j}

Find the exact speed of $P$ when $t = 3$ .

[3]

A student claims that the magnitude of acceleration of $P$ will never be zero. Determine whether the student's claim is correct. Fully justify your answer.

[3]

Markscheme

3.2.10 Extend 1-D techniques to 2-D using vectors (A-level only) Questions

A Level
Maths
3.2.10 Extend 1-D techniques to 2-D using vectors (A-level only)

15 exam-style questions on OCR (MEI) A Level Maths 3.2.10 Extend 1-D techniques to 2-D using vectors (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

3.2.10 Extend 1-D techniques to 2-D using vectors (A-level only)

Question bank

3.2.10 Extend 1-D techniques to 2-D using vectors (A-level only)

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Question 10

At time $t$ seconds a particle, $P$ , has position vector $r\mathbf{r}$ metres, with respect to a fixed origin, such that

\mathbf{r} = (t^3 - 4t^2)\mathbf{i} + (12t - t^2)\mathbf{j}

Find the exact speed of $P$ when $t = 3$ .

[3]

A student claims that the magnitude of acceleration of $P$ will never be zero. Determine whether the student's claim is correct. Fully justify your answer.

[3]

Markscheme

3.2.10 Extend 1-D techniques to 2-D using vectors (A-level only) Questions

A Level
Maths
3.2.10 Extend 1-D techniques to 2-D using vectors (A-level only)

15 exam-style questions on OCR (MEI) A Level Maths 3.2.10 Extend 1-D techniques to 2-D using vectors (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.