Cokernel of morphism defined by a section

Question

Let $X$ be a smooth projective curve over the field of complex numbers. Let $V$ be a vector bundle on $X$ of rank $r$. Suppose $s\in H^0(X,V)$ then we have an injective morphism given by $$0\rightarrow O_X\rightarrow V\,.$$ What is the cokernel of the above morphism? If $V$ is rank two is it given by $\text{det }V$?