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Exploring the Relationship between Velocity and Momentum

Below is a table and graph of an object's momentum based on its velocity, assuming the object is a golf ball with a mass of   ( ):

Figure 3.3.4. Here you see the relationship between velocity and momentum. Notice that as velocity rises, so does momentum.

 

 

Figure 3.3.5. This graph shows the positive correlation between velocity and momentum.

 

What do these graphs tell us? Two things... As mass increases, momentum increases. And, as velocity increases, momentum also increases. So momentum serves as a measurement of the overall "quantity of motion" in an object - it increases both as the object moves faster, and also when the object has more mass.