In the time interval from 0.0 s to 10.1 s, the acceleration of a particle traveling in a straight line is given by ax = (0.1 m/s3)t. Let to the right be the +x direction. The particle initially has a velocity to the right of 10.0 m/s and is located 5.4 m to the left of the origin.

(a) Determine the velocity as a function of time during the interval. (Use the following as necessary: t.)
(b) Determine the position as a function of time during the interval. (Use the following as necessary: t.)
(c) Determine the average velocity between t = 0.0 s and 10.1 s.