Unknown macro: {latex}
\large
$$
m{{dV} \over {dt}} = \sum
Unknown macro: {F = F_g - F_b - F_d }
$$
where,
Unknown macro: {latex}
\large
$$
F_g - F_b = V_p (\rho _p - \rho _w )g
$$
$$
F_d = {{C_D A_p \rho _p V^2 } \over 2}
$$