: The data in the table below gives selected values for the velocity, in meters/minute, of a particle moving along the x-axis. The velocity v is differentiable function of time t. t (minutes) 0 2 5 7 8 9 12 v(t) (meters/min) -5 2 4 6 3 6 5 A. At t = 0, is the particle moving left or right. Justify. B. Is there a time on the interval 0 ≤ t ≤ 12 minutes when the particle is at rest? Explain.