What is meant by relative velocity ? Write an expression for the velocity of A and B particle relative to the other moving with velocities `v_` and `v_` along a straight line.

Write the expression for Lorentz magnetic force on a particle of charges 'q' moving with velocity overset(rightarrow)v in a magnetic field overset(rightarrow)B .

Block B moves to the right with a constant velocity v_(0) . The velocity of body a relative to b is

The variation of velocity of a particle moving along a straight line is shown in . is .

The vector difference between the absolute velocities of two bodies is called their relative velocity. The concept of relative velocity enables us to treat one body as being at rest while the other is in motion with the relative velocity. This jormalism greatly simplifies many problems. If vecv_(A) is the absolute velocity of a body A and vec_(B) that of another body B then the relative velocity of A in relation to B is vec_(AD)=vecV_(A)-vecv_(B) and vecv_(BA)=vecv_(B) - vecv_(A) . The principle follows here is that the relative velocity of two bodies remains unchaged if the same additional velocity is imparted to both the bodies. A simple way of carrying out this operation is to be represent the velocities in magnitude and direction from a common point. Then the line joining the tips of the vectors represents the relative velocity Q A train A moves to the east with velocity of 40 km/hr and a train B moves due north with velocity of 30 km/hr. The relative velocity of A w.rt. B is

A wheel of radius R rolls on the ground with a uniform velocity v. The velocity of topmost point relative to the bottommost point is

Two particles are moving with velocities v_(1) and v_2 . Their relative velocity is the maximum, when the angle between their velocities is

Statement-I : If two particles, moving with constant velocities are to meet, the relative velocity must be along the line joining the two particles. Statement-II : Relative velocity means motion of one particle as viewed from the other.

Three particles start from the origin at the same time, one with a velocity v_(1) along the x-axis, second along the y-axis with a velocity v_(2) and third particle moves along the line x = y. The velocity of third particle, so that three may always lie on the same line is:

(A) : Relative to an observer at rest in a medium the speed of a mechanical wave in that medium (1) depends only on elastic and other properties (such as mass density) of the medium. It does not depend on the velocity of the source. (B): For an observer moving with velocity v_(0) relative to the medium, the speed of a wave is obviously different from v and is given by v+-v_(0)

In the system shown, the block A is moving down eith velocity v_(1) and C is moving up with velocity v_(3) . Express velocity of the block B in terms of velocities of the blocks a and C.