Problem 2: The velocity of a particle is given by ở = 16t²î – 4t³j + (5t – 2)k m/s, where t is in seconds. If the particle is at

the origin when t = 0. (a) determine the position vector of the particle at t = 1 s. (b) find the acceleration vector at t = 1 s (c) is the particle's speed increasing or decreasing at t = 1 s.