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.