May I know any example of daily life that related to function, limits, differentiation and integration? Thank you

Question

 Example of application of function, limits, differentiation and integration of  each  topic in your daily 

Answer 1

Differentiation:

 

Finding the maximum height you can throw a ball.

 

 

Limit:

 

Finding your maximum speed without stopping.

 

 

Integration:

 

Finding the average speed at your current acceleration within a certain time interval.