The motion of a particle is governed by the relation a = 4t^2, where a is in ft/^s2 and t is in seconds. When t is zero, v = 2 ft/s and s = 4 ft. Find the relations between v and t, x and t, v and x....

The motion of a particle is governed by the relation a = 4t^2, where a is in ft/^s2 and t is in seconds. When t is zero, v = 2 ft/s and s = 4 ft. Find the relations between v and t, x and t, v and x. Find the values of velocity v and distance x when t = 2 sec.