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.