A particle P P\,P is projected from a point on horizontal ground with initial velocity k(2i+5j)ms−1k(2\mathbf{i} + 5\mathbf{j})\text{ms}^{-1}k(2i+5j)ms−1, where k k\,k is a positive constant. Given that the maximum height reached by P P\,P is 10 m above the ground.
Find the exact value of kkk.
Find the horizontal distance travelled.
265 exam-style questions on AQA A Level Maths 3.2 Q: Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Constant acceleration formulae, 3.2.4 Calculus in kinematics (A-level only), and 3.2.5 Motion under gravity and projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.