Page 19 of 11 7. The velocity of an object traveling along a straight line is v(t) = cos(t) + 4t + 1 meters per second. At t = 1 second, it is located 4 meters to the left of a post located at x = 0. (For this problem, leftwards is the negative r direction and rightwards is the positive r direction.) (a) (6 points) Find a position function p(t) for the object. (b) (2 points) Where is the object located after thirty seconds