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 ?

Two balls are rolling on a flat surface. One has velocity components m//s and sqrt(3) m//s along the rectangular axes x and y , respectively and the other has component 2 m//s and 2 m//s , respectively. If both the balls start moving from the same point, the angle between their directions of motion is

Two balls are rolling on a flat smooth table. One ball has velocity components sqrt(3) hat(j) and hat(i) while the other has components 2 hat(i) and 2 hat(j) . If both start moving simultaneously from the same point, the angle between their paths is-

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

Two billiard balls are moving on a table and the component velocities along the length and breadth are 5,5 ms^(-1) for one ball 2sqrt(3) 2ms^(-1) for the other ball the angle between the motion of balls 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

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 .

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

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