Two billiards balls are rolling on a flat table.?

Question

One has the velocity components Vx=1.0 m/s , Vy= 2.0m/s
The other has the velocity comp. Vx=2.0m/s , Vy= 3.0 m/s .
If both balls started from the same point , what is the angle between their paths?

Answer 1

A1= artan(2/1)=63.2
A2= arctan(3/2)=56.3

A=|A2-A1|=6.9

Answer 2

Draw a diagram.
Plot where each ball will be after 1 second.
Use elementary trigonometry to calculate the angle each ball makes with the x-axis.
The difference between them is your answer.

Doug