A particle P P\,P is projected from a point O O\,O on a horizontal plane with velocity k(2i+3j)ms−1k(2\mathbf{i} + 3\mathbf{j})\text{ms}^{-1}k(2i+3j)ms−1, where k k\,k is a constant. The greatest height reached by P P\,P is 9 m above the plane.
Find the exact value of kkk.
Find the horizontal distance travelled.
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.