A particle P P\,P is projected from the ground with velocity k(3i+4j)ms−1k(3\mathbf{i} + 4\mathbf{j})\text{ms}^{-1}k(3i+4j)ms−1, where k k\,k is a constant. Given the greatest height reached by P P\,P is 24m above the ground.
Find the exact value of kkk.
Find the horizontal distance travelled.
