Chapter 4 - Force and Motion - Learning Path Questions and Exercises - Exercises - Page 134: 3

$0.64m/s^{2}$ in the positive x direction.

In the vertical direction, there is no acceleration. In x-axis, by Newton's second law, $a=\frac{F_{1}-F_{2}cos\theta}{m}=\frac{30-35cos40^{\circ}}{5}=0.64m/s^{2}$ in the positive x direction.