Two billiard balls are rolling on a flat table. One has velocity components and other has velocity components If both the balls start moving from the same point, then what is the angle between their paths?
Let and be the angles that the two balls make with X-axis.
Given, the velocity components of first ball are,
Therefore, angle is given by,
The velocity components of second ball are,
∴ angle is given by,
The angle between the paths of two ball is equal to the angle between their velocity vectors.
∴ The angle between the paths of two balls is,