A particle P P\,P is projected with a velocity (5i+12j)ms−1(5\mathbf{i} + 12\mathbf{j})\text{ms}^{-1}(5i+12j)ms−1 from a point 30m above the ground.
Find the speed of the particle after 1.5 seconds.
Find the greatest height of PPP.
Find the horizontal distance travelled by P P\,P before it hits the ground.