Answer:
Average velocity of the particle is
![-2.4 m/s](https://img.qammunity.org/2020/formulas/physics/middle-school/bd5278quwv5zpttlim5kksvuic15potn9m.png)
Step-by-step explanation:
Average velocity is defined as the total velocity divided by the total time. It is given by the equation
![v_av= (displacement)/((total time taken))](https://img.qammunity.org/2020/formulas/physics/middle-school/bqdets4gaizrwqrchw3c2gfe2icjy75vd5.png)
In the given problem the particle starts from origin, travels
and then reverses direction and travels till
within a total time of
![3.8 seconds.](https://img.qammunity.org/2020/formulas/physics/middle-school/ai5wwhz7oer8vedibzg1a1e35ulp5qrold.png)
Displacement is defines as the shortest distance between initial and final point.
Here displacement =
![- 9.23 m](https://img.qammunity.org/2020/formulas/physics/middle-school/zeerbvxnlzcu4uarg9ai349frnqefuvm3z.png)
total time=
![3.8 s](https://img.qammunity.org/2020/formulas/physics/middle-school/m6ihh25shf7gxecnoeqa00v6u0kda87w8h.png)
![v_av=-9.23/3.8=-2.4 m/s](https://img.qammunity.org/2020/formulas/physics/middle-school/8cba462z3ktnkbctj0doyb88ufdculopjp.png)