Two billiard balls are rolling on a flat table. One has the velocity components `v_(x) = 1 ms^(-1), v_(y) = sqrt(3)ms^(-1)` and the other has components `v'_(x) = 2ms^(-1)` and `v'_(y) = 2ms^(-1)`. If both the balls start moving from the same point, what is the angle between their paths ?

Two particles A and B are moving in the x-y plane such that their velocity components are v_(x) = 1 m//s, v_(y) = (1)/(sqrt(3)) m//s (for A ) and v_(x) = 2m//s, v_(y) = 2 m//s (for B ). If both the particles start moving from the same point, what is the angle between their paths ?

A velocity of 10 ms^(-1) has its Y-component 5sqrt(2)ms^(-1) . Calculate its X-component.

Two billiard ball, rolling a flat table, have started moving from the same point. If their x components of velocities are sqrt3m//s and 2m//s and y components of velocities are 1m//s and 2m//s , respectively, calculate the angle between their paths .

Find the equation of trajectory of a particle whose velocity components are v_(x)=2x+1, v_(y)=2y+3 Given that particle starts from rest from origin.

Three small balls of masses 1kg, 2kg and 3kg are moving in a plane and their velocities are 1 ms^(-1) ,2ms^(-2) and 3ms^(-1) respectively as shown . The total angular momentum of the system of three balls about point P at the given instant of time is

A particle is moving in the x-y plane. At certain instant of time, the components of its velocity and acceleration are as follows: v_(x)=3ms^(-1), v_(y)=4ms^(-1), a_(x)=2ms^(-2) and a_(y)=1ms^(-2) . The rate of change of speed at this moment is

The collision of two balls of equal mass takes place at the origin of coordinates. Before collision, the components of velocities are ( v_(x) = 50cm^(-1) , v_(y) = 0 ) and (v_(x) = -40cm^(-1) and v_(y) = 30cms^(-1) . The first ball comes to rest after collision. The velocity (components v_(x) and v_(y) respectively) of the second ball are