[tex]\vec{v}=16t^3+24t+5 \ (m/s) \\ m=22 \ kg \\ \bold{a)} \ x=x_0+v_xt=x_0+t(16t^3+24t+5) \ (m) \\ \Rightarrow \boxed{x=16t^4+24t^2+5t \ (m)} \\ \bold{b)} \ \vec{F}=m\vec{a}; \ \ \vec{a} =\frac{16t^3+24t+5-v_0}{t} \\ \Rightarrow \boxed{\vec{F}=22 \ kg\cdot \frac{16t^3+24t+5-v_0}{t}=\frac{352 t^2+528t+5-v_0}{t} \ (N)}[/tex]
