Skip to content
MathsGenie logo
Open app

Course home

  1. A Level
  3. Maths Edexcel
  5. Question bank

Differentiating Vectors

Medium
1234567891011
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]

Differentiating Vectors Questions

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

Practise Edexcel A Level Maths Differentiating Vectors with exam-style questions for A Level Maths. 11 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank