Use g=9.8g=9.8g=9.8 m s−2^{-2}−2.
A particle P P\,P is projected from the origin O O\,O with velocity (12i+14j)(12\mathbf{i}+14\mathbf{j})(12i+14j) m s−1^{-1}−1, where i\mathbf{i}i is horizontal and j\mathbf{j}j is vertically upwards. The particle moves freely under gravity. Air resistance is neglected and P P\,P is modelled as a particle.
Find the velocity of P P\,P at time t=1t=1t=1 s.
Find the position vector of P P\,P at time t=2t=2t=2 s.