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8.4 Differentiating Vectors

Medium
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Question 10

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

r=(t3−4t2)i+(12t−t2)j \mathbf{r} = (t^3 - 4t^2)\mathbf{i} + (12t - t^2)\mathbf{j} r=(t3−4t2)i+(12t−t2)j
a.

Find the exact speed of PPP when t=3t = 3t=3.

[3]
b.

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

[3]
Markscheme

8.4 Differentiating Vectors Questions

  1. A Level
  2. /Maths
  3. /8.4 Differentiating Vectors

11 exam-style questions on Edexcel A Level Maths 8.4 Differentiating Vectors. Each one has a worked solution and a mark scheme showing where the marks go.

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