Question

kinetic energy of a body varies as time t elapsed the force acting varies as

(I HAVE NOT TAKEN MATH SO PLEASE EXEXPLA IN A SUITABLE MANNER)

Answer 1

As you will find out, each equation is applicable to different type of problems, not related to each other. So I am going to assume you are just "curious" about the relationship (if any), between force (F)and kinetic energy (E).
To "come up" with the relationship, all you have to do is divide one equation by the other
E/F=(1/2mv^2)/(ma)
Since the mass term appears in both numerator and denominator, it cancels, and since a = v/t, the relationship formula becomes:
E/F=vt/2