roblem $3(15$ points$)$ The velocity $(\frac{m}{s})$ of a body is given as a function of time $($seconds$)$ by

$v(t)=200ln(1+t)-t,t0$

Using the Runge$-$Kutta $2^{nd}$ order Ralston method with a step size of $5$ seconds, the distance in meters traveled by the body from $t=2$ to $t=12$ seconds is estimated most nearly as

$($A$)3904\mathrm{.}9$

$($B$)3939\mathrm{.}7$

$($C$)6556\mathrm{.}3$

$($D$)39397$