The speed of the first tiger $v_1=v$, where $v$ is a known value. The speeds of the second and third tigers $v_2$ and $v_3$ are those that the angles in the triangle $ABC$ formed by tigers remain constant during the motion.

Let us establish a coordinate system as shown at the figure. The origin coincides with the initial position of the first tiger (point $A$).

To answer the first questions assume that tigers move without slipping and can exert any ammount of force.

Determine:

1 the time $t$ at which the tigers meet;

A S

2 speeds $v_2$ and $v_3$ of the second and third tigers, respectively.

A S

3 coordinates $\left(x{,}y\right)$ of point in which the tigers meet.

A S

In realty, the motion of tigers is limited by the coefficients of friction between their paws and the surface, which is the same for all tiger and equal to $\mu$. The acceleration due to gravity is $g$.

4 What is the time interval $\tau$ after the start during which the tigers can maintain this motion?

A S