velocity and distance reached by a particle starting from rest

Question

Consider the following statements:

A particle starting from rest is accelerating along a straight line with an acceleration ‘kt’ where k is a constant and t is the time elapsed after time ‘t’

1. Its velocity is given by kt²

2. Its velocity is given by 1/2 kt²  

3. The distance covered is given by 1/2 kt³

4. The distance covered is given by 1/6 kt³

Of these statements

(a) 1 and 3 are correct

(b) 1 and 4 are correct

(c) 2 and 4 are correct

(d) 2 and 3 are correct