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4.8 Kinematics (A-level only)

4.8 Kinematics (A-level only)

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Question 78

A search-and-rescue drone is deployed to locate a radio signal. At time ttt seconds, its position vector r\mathbf{r}r metres, relative to a fixed base station, is given by

[r=(23t3−5t2+12)i+(20t−2t2−7)j [\mathbf{r} = \left(\frac{2}{3}t^3 - 5t^2 + 12\right)\mathbf{i} + (20t - 2t^2 - 7)\mathbf{j} [r=(32​t3−5t2+12)i+(20t−2t2−7)j
a.

Calculate the exact speed of the drone when t=4t = 4t=4.

[3]
b.

An analyst suggests that the magnitude of the drone's acceleration will never fall to zero. Determine, with full justification, whether the analyst is correct.

[3]
Markscheme

4.8 Kinematics (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.8 Kinematics (A-level only)

163 exam-style questions on WJEC A Level Maths 4.8 Kinematics (A-level only), covering 4.8.1 Kinematics (A-level only), 4.8.2 Kinematics (A-level only), and 4.8.3 Kinematics (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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