In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A ball is kicked from a point on horizontal ground with velocity (6i+14j)(6\mathbf{i} + 14\mathbf{j})(6i+14j) m s−1^{-1}−1, where i\mathbf{i}i is horizontal and j\mathbf{j}j is vertically upwards. The ball is modelled as a particle moving freely under gravity, and air resistance is modelled as negligible.
Find the time taken for the ball to return to the ground.
Find the horizontal distance travelled by the ball in this time.
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.