Given data:
* The x-component of force is,

* The y-component of force is,

* The mass of the particle is 3 Kg.
* The time taken by the particle is 10 seconds.
Solution:
According to the Newton's second law,

where a is the acceleration of the body,
For x-direction motion of the particle,

By the kinematics equation, the x-component of the displacement of particle is,

Similarly, for the motion of partcile along the y-direction is,

Thus, by the kinematics equation, the displacement of partcile along the y-direction is,

Thus, the net distance traveled by the particle is,
![\begin{gathered} d=\sqrt[]{d^2_x+d^2_y} \\ d=\sqrt[]{33.5^2+83.5^2} \\ d=89.96\text{ m} \\ d\approx90\text{ m} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/rx85gds7urt5r87lm3hnb2jlv7rn4ge5w2.png)
Hence, the total distance traveled by the particle is 90 m.