A particle's motion is described by the position function x(t) = +5 - 8+2. a) Calculate the particle's velocity and acceleration functions. b) When does the particle's direction of motion change? What is the value of the velocity when the motion changes direction? c) When does the particle's speed switch from increasing to decreasing within the time interval from 0 to 2 seconds? Which of the kinematic functions (position, velocity, or acceleration) are zero when this occurs