In Problems a to b, an object is moving along a coordinate line subject to the indicated acceleration a (in centimeters per second per second) with the initial velocity vo (in centimeters per second) and directed distance so (in centimeters). Find both the velocity and directed distance s after 2 seconds.
a. a = t; vo = 3, so = 0
b. a = (1 + t)-4; v0 = 0, s0 = 10