Using Newton's Second Law:
[tex]F_{net}=ma[/tex]But first, we need to find the net force, We can do this as follows:
Now, using Pythagorean theorem:
[tex]\begin{gathered} F_{net}=\sqrt{3^2+4^2} \\ F_{net}=\sqrt{9+16} \\ F_{net}=\sqrt{25} \\ F_{net}=5N \end{gathered}[/tex]Now, solving for a from Newton's Second Law:
[tex]\begin{gathered} a=\frac{F_{net}}{m} \\ a=\frac{5}{2} \\ a=2.5m/s^2 \end{gathered}[/tex]Answer:
2.5 m/s²
