The velocity of a particle moving along the x-axis is a differentiable function; V, where the position of the particle; x, is measured in meters, and time t is measured in seconds_ Time, (sec) 18 24 30 38 50 Velocity; v(t) (meters/sec) 73 AJ Att = 0. determine whether the particle is moving to the right or t0 the left Explain how you know_ Is there any time(s) during the interval 0 < t = 30 seconds when the particle is at rest? Justify your anSwer. C Estimate the acceleration of the particle at t = 34 seconds. Show the computations that lead to your answer Indicale units of measure Explain what this number means in terms of the particle'$ velocity On the interval. D: Suppose that the acceleration of the particle is positive for 0 < t < 18 seconds. Is the speed of the particle increasing O decreasing at t 7? Give a reason for YOur answer: