A stone is projected from a cliff at a height of 30m above sea level with a velocity of (4i+7j)ms−1(4\mathbf{i} + 7\mathbf{j})\text{ms}^{-1}(4i+7j)ms−1.
Find the speed of the stone after 2.5 seconds.
Find the greatest height of the stone above sea level.
Find the horizontal distance travelled by the stone before it hits the sea.