A particle P P\,P is projected from ground level with velocity k(4i+3j)ms−1k(4\mathbf{i} + 3\mathbf{j})\text{ms}^{-1}k(4i+3j)ms−1, where k k\,k is a constant. The maximum vertical displacement of P P\,P from the ground is 45 m.
Find the exact value of kkk.
Find the horizontal distance travelled.