The position of a particle moving along the x axis with a constant acceleration may be determined from the expression x(t) = b + c(t 2 s)2, where b = 2.00 m, c = 2.00 m/s, and x will be in meters when t is in seconds. Determine the following. (Where applicable, indicated direction with the sign of your answer.) (a) position, velocity, and speed of the particle at the time t = 0 s (Enter your answers to at least one decimal place.) position x(t = 0 s) = m velocity v(t = 0 s) = speed v(t = 0 s) = m/s m/s (b) position, velocity, and speed of the particle at the time t = 4s (Enter your answers to at least one decimal place.) position x(t = 4 s) ==== m velocity v(t = 4 s) = = speed v(t = 4 s) m/s m/s (c) time and position of the particle when it changes direction (Enter your answers to at least one decimal place.) Echange = x(t=change) S m (d) displacement, distance traveled, average velocity, and average speed of the particle over the time interval t = 0 4 s displacement Ax(t = 0 4 s) = m distance d(t = 0 4 s) = m average velocity v(t = 0 4 s) = m/s average speed v(t = 0 4 s): m/s