[tex]D)1.913\text{ }\frac{m}{s^2}[/tex]
Explanation
Step 1
Diagram and free body diagram
F.B.D
Step 2
Newton's second law states a force applied to an object at rest causes it to accelerate in the direction of the force
hence, for the x -axis ( axis of the motion) we have
[tex]\begin{gathered} 24cos40+20=ma \\ 18.38+20=12a \\ 38.28=20a \\ divide\text{ both sides by 202} \\ \frac{38.28}{20}=\frac{20a}{20} \\ 1.913\text{ }\frac{m}{s^2}=a \end{gathered}[/tex]
so,the answer is
[tex]D)1.913\text{ }\frac{m}{s^2}[/tex]
I hope this helps you
