Given information:
Distance covered by the bowling ball;
![s=45\text{ m}](https://img.qammunity.org/2023/formulas/physics/college/bqjqhe5jp0oco0hnl2wa172v7xo1fqapz9.png)
Time taken;
![t=7.5\text{ s}](https://img.qammunity.org/2023/formulas/physics/college/id46i3pi2w2ezoigyo5ky6z4c8zjswkkiy.png)
The average velocity of the bowling ball is given as,
![v_(av)=(s)/(t)](https://img.qammunity.org/2023/formulas/physics/college/yy7zkrks9kglttf9vssepdgg3pqw4li3e8.png)
Substituting all known values,
![\begin{gathered} v_(av)=\frac{45\text{ m}}{7.5\text{ s}} \\ =6\text{ m/s} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/kbd9wx4ovch4gkfo1y6sic6cyq3wcqzoq5.png)
Therefore, the magnitude of the bowling ball's average velocity is 6 m/s. Hence, option (2); v=6 m/s is the correct choice.