The acceleration of a body moving along a straight line is given by a=6t−4 SI units, where t is the time in seconds. At t=0, its velocity is 3ms−1 and its position is the origin.
a. (i) Obtain the expression for velocity v(t) as a function of time.
b. (ii) Hence find the displacement x(t) measured from the origin.
c. (iii) Determine the instant at which the body comes momentarily to rest again.