Answer:
[tex]a = 32857.167\,\frac{m}{s^{2}}[/tex]
Explanation:
The motion of the arrow can be described by the Moment Conservation and Impact Theorem:
[tex](0.018\,kg)\cdot \left(138\,\frac{m}{s} \right) - F\cdot (0.0042\,s) = (0.018\,kg)\cdot \left(0\,\frac{m}{s} \right)[/tex]
The impact force is computed herein:
[tex]F = 591.429\,N[/tex]
The deceleration experimented by the arrow is:
[tex]a = \frac{F}{m}[/tex]
[tex]a = \frac{591.429\,N}{0.018\,kg}[/tex]
[tex]a = 32857.167\,\frac{m}{s^{2}}[/tex]
