**23. Two motorcycles are traveling due east with different velocities. However, four seconds later, they have the same velocity. During this four-second interval, cycle A has an average acceleration of 2.0 m/s2 due east, while cycle B has an average acceleration of 4.0 m/s2 due east. By how much did the speeds differ at the beginning of the four-second interval, and which motorcycle was moving faster?

 

 this tells us that motorcycle A was moving faster and

Motorcycle B caught up with it.

 

 

Since the motorcycles have the same velocity after 4.0 seconds,   so we can set the two equations equal to each other.

 

Solving for the difference in speeds, and since A was faster we will find

 

 

 

And Motorcycle A was originally moving faster

 

 

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This page last updated on January 11, 2020