How fast will an object with a mass of 16 kg accelerate if a force of 32 N is constantly applied to it?

This is just seeing if you know the formula from Newton's Second Law: $F = m a$. As soon as you know that, and that this is in only one dimension, this is as simple as "plug and chug".
"32 N" = "32 kg"*"m/s"^2 = ("16 kg")(a)
$\textcolor{b l u e}{a} = \frac{F}{m} = \textcolor{b l u e}{{\text{2 m/s}}^{2}}$