At time t=0t=0t=0, a particle has position vector (2i+4j)(2\mathbf{i}+4\mathbf{j})(2i+4j) m, velocity (5i−2j)(5\mathbf{i}-2\mathbf{j})(5i−2j) m s−1^{-1}−1 and constant acceleration (−i+3j)(-\mathbf{i}+3\mathbf{j})(−i+3j) m s−2^{-2}−2.
Find the velocity of the particle when t=4t=4t=4.
Find the position vector of the particle when t=4t=4t=4.
Find the speed of the particle when t=4t=4t=4.