The velocity of the bird when it was flying eastwards, v₁=8 m/s
The time of flight of the bird when it was flying eastwards, t₁=30 s
The velocity of the bird when it was flying westwards, v₂= 6 m/s
Time of flight of the bird when it eas flying westwards, t₂10 s
The velocity of an object is given by,
![v=(d)/(t)](https://img.qammunity.org/2023/formulas/mathematics/college/7bvf02ex7prlyl84jiizv8vikm7s8zddn1.png)
Where d is the displacement of the object.
Thus the displacement of the object is,
![d=vt](https://img.qammunity.org/2023/formulas/physics/high-school/ul87ey70wpm37hhqdwgyqp7gz2pid3bo3k.png)
Therefore, the displacement of the bird when it was flying eastwards is,
![\begin{gathered} d_1=v_1* t_1 \\ =8*30 \\ =240\text{ m} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/nk1d55oosy60ycpud7ieyra3q8ku0u612k.png)
And the displacement of the bird when it was flying towards the west is,
![\begin{gathered} d_2=v_2* t_2 \\ =6*10 \\ =60\text{ m} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/2qmxp7qxlasblupq6drtzhyh45cdbbsyr3.png)
Therefore total displacement of the bird can be calculated as,
![D=d_1-d_2](https://img.qammunity.org/2023/formulas/physics/college/k9nfp5ggi8ium1dxjji0x8imdp7uvdv0lz.png)
On substituting the known values,
![D=240-60=180\text{ m}](https://img.qammunity.org/2023/formulas/physics/college/qkmdgypt3jzej3qxn3cqvgjjlkmhyyfwq0.png)
Therefore the displacement of the bird is 180 m