1. (10 points) A car's velocity depends on time. At a given time t (in seconds) the velocity of the car is v(t) = 2i - (6t2 - 16t + 6)j where each component of 1 is measured in meters per second and where i and j are unit vectors in the east and north directions, respectively. Find the earliest time at which the car is going directly southeast. Give an exact answer (i.e., do not present a decimal approximation). If the car never goes directly southeast, say so