  In this article, we discuss the error analysis for a certain class of
monotone finite volume schemes approximating nonlocal scalar conservation laws,
modeling traffic flow and crowd dynamics, without any additional assumptions on
monotonicity or linearity of the kernel $\mu$ or the flux $f$. We first prove a
novel Kuznetsov-type lemma for this class of PDEs and thereby show that the
finite volume approximations converge to the entropy solution at the rate of
$\sqrt{\Delta t}$ in $L^1(\mathbb{R})$. To the best of our knowledge, this is
the first proof of any type of convergence rate for this class of conservation
laws. We also present numerical experiments to illustrate this result.
