The formula to calculate the speed of the ball is given to be:
![s=(d)/(t)](https://img.qammunity.org/2023/formulas/physics/high-school/hs3capot9u20ahgs6jaudlrhvo6wv8t7f0.png)
where s is the speed, d is the distance, and t is the time.
From the question, we have:
![\begin{gathered} d=100\text{ meters} \\ t=14\text{ seconds} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/p6t9wrogc9cbqpp2uuo3v5xowcxvhqp6nd.png)
Therefore, the speed is calculated to be:
![s=(100)/(14)=7.14\text{ meters per second}](https://img.qammunity.org/2023/formulas/mathematics/high-school/whae9xudif1ytvsaifscvqtm2fm609ewje.png)
To convert from meters per second to miles per hour, we multiply the value by 2.237.
Therefore, the speed will be:
![\begin{gathered} s=7.14*2.237 \\ s=15.97 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/2hdaidabrvru52jg3y4kkw0uy14b5q6go6.png)
The speed is 15.97 miles per hour.