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.
The greatest height reached by P P\,P is 24 m above the ground.
Air resistance is modelled as negligible.
Find the exact value of kkk.
Find the horizontal distance travelled by P P\,P before it returns to the ground.
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.