Skip to content

Course home

3.2 Kinematics

3.2 Kinematics

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175
Question 119

In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.

A particle P P\,P is projected from a point on horizontal ground with velocity k(3i+4j)k(3\mathbf{i} + 4\mathbf{j})k(3i+4j) m s−1^{-1}−1, where k k\,k is a positive constant, i\mathbf{i}i is horizontal and j\mathbf{j}j is vertically upwards. Air resistance is modelled as negligible.

The greatest height reached by P P\,P is 24 m above the ground.

a.

Find the value of kkk.

[3]
b.

Find the horizontal distance travelled by P P\,P before it returns to the ground.

[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