- Y (6, 2) 2- (7, 1) X O 1 2 3 A 5 6 7 Graph of f' 3. Let f be a differentiable function with f(4) = 3. On the interval 0 0, its position is given by xP(t) = 6 4ft. 1 Particle Q moves along the y-axis such that, for time t > 0, its velocity is given by vQ(t) = 2. At time t = 1, t the position of particle Q is yQ(l) = 2. (a) Find vP(t), the velocity of particle P at time t. (b) Find aQ(t), the acceleration of particle Q at time I. Find all times I, for I > 0, when the speed of particle Q is decreasing. Justify your answer. (c) Find 319(1), the position of particle Q at time t. (d) As I > 00, which particle will eventually be farther from the origin? Give a reason for your