Example: A machine drives a ball giving the ball an initial horizontal speed of . What is the magnitude of the average force exerted on the ball if the force is exerted over ?

Known:

Find:

Relevant Equation:

*Note that if you hold Impulse constant, an increase in means a decrease in . The reverse is true. For instance, a car accelerates to a speed of 60 mpg. I can get to this speed in 30 seconds out. If you want it to be faster than that, say reach 60 mph in 5 seconds, you need a lot more force to be exerted each second. Same principle here.

Remember that Impulse can be replaced with a change in moments.

Solve for →

Plug in values and solve: