Skip to content

Course home

3.2 Kinematics

3.2 Kinematics

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175
Question 116

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

3.2 Kinematics Questions

  1. A Level
  2. /Maths
  3. /3.2 Kinematics

260 exam-style questions on OCR A Level Maths 3.2 Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Displacement-time and velocity-time graphs, 3.2.4 Constant acceleration formulae, 3.2.5 Constant acceleration in two dimensions (A-level only), 3.2.6 Non-uniform acceleration in one dimension (A-level only), 3.2.7 Non-uniform acceleration in two dimensions (A-level only), 3.2.8 Motion under gravity using vectors (A-level only), and 3.2.9 Projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank