Problem 16. (1 point) The function s(t) describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds. s (t ) = 14 - 3212 +256, 120 If appropriate, enter answers in radical form. Use inf to represent co . (a) Find the velocity and acceleration functions. v (t) : a(t) : (b) Find the position, velocity, speed, and acceleration at t = 1. Position (ft): Velocity (ft/sec): Speed (ft/sec): Acceleration (ft/sec2): (c) At what times is the particle stopped? Enter as a comma- separated list. t = (d) When is the particle speeding up? Slowing down? Enter using interval notation. Speeding up: Slowing down