Non-Calculator tz-9 1. A particle moves along the x-axis so that its position at time t > 0 is given by x(t) = 3t2+8 a. Show that the velocity of the particle at time t is given by v(t) = 70t (3t2 + 8) 2 b. Is the particle moving toward the origin or away from the origin at time t = 4? Give a reason for your answer. c. The acceleration of the particle is given by a(t). Write an expression for a (t), and find the value of a(1). d. What position does the particle approach as t approaches infinity