Impulse and Time-Averaged Force
Impulse and force are closely related. In fact, if a time interval of interest is specified, the impulse imparted by a specific force during that interval can be used to quickly estimate the time-average of that force. The mathematical definition of the time-average of a force is:
![](/confluence/download/export/latex16688521120721129956.png)
Using the definition of impulse, this expression can be written:
![](/confluence/download/export/latex9474266277135381147.png)
Watch Your Head (Consider the impulse and average force delivered to the head of a player performing a "header" in soccer. )