A particle has initial velocity (8i−2j)(8\mathbf{i}-2\mathbf{j})(8i−2j) m s−1^{-1}−1 and constant acceleration (−i+2j)(-\mathbf{i}+2\mathbf{j})(−i+2j) m s−2^{-2}−2.
Find the time at which the velocity of the particle is parallel to 3i+4j3\mathbf{i}+4\mathbf{j}3i+4j.
Find the speed of the particle at this time.
Find the displacement of the particle from its initial position at this time.