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This is true by definition. Motion is defined by difference in position occurring as a function of time, and "velocity" is is thethree-dimensional vector which quantifies that motion. To simplify the concept to a single dimension, if "x" is the position of a particle on a line at any instant of time, then the velocity of the particle is defined as dx/dt, that is, the change in position x divided by the change in time as the change in time approaches zero as a limit.

Q: When a particle is in motion its velocity is always in the direction of motion?

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If an object is in motion it has a Velocity, which is speed and direction.

No.. this is impossible. Velocity must have a constant direction and speed to remain constant, it may have a constant speed, but the direction in a circle constantly changes. If it suddenly were to have constant direction, then the motion would go off on a tangent.. making it linear motion, not circular. In circular motion, velocity constantly changes. Always.

No. Velocity has direction and magnitude. The magnitude can be constant, but if the body is in circular motion, the direction of the movement is constantly changing, which means that the velocity is constantly changing. Changing velocity means that the body is accelerating. In this case, because the motion of the body is always changing away from a straight line to cause it to go round the circle, the acceleration acts towards the centre of the circle.

The sign on velocity indicates the direction of motion.

Velocity is a speed and a direction of motion.

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Disturbance in particle motion parallel to the wave velocity is called a longitudinal wave. Disturbance in particle motion perpendicular to the wave velocity is called a transverse wave.

the motion at that instant

If an object is in motion it has a Velocity, which is speed and direction.

Velocity is a change in an object's motion OR direction of motion.

No.. this is impossible. Velocity must have a constant direction and speed to remain constant, it may have a constant speed, but the direction in a circle constantly changes. If it suddenly were to have constant direction, then the motion would go off on a tangent.. making it linear motion, not circular. In circular motion, velocity constantly changes. Always.

yes.acceleration means change of velocity and not speed to be more precise.in a circular motion with constant speed the particle or the object constantly changes its direction.the direction of velocity is directed along the direction of the tangent at that point.although speed remains constant the velocity changes infinite number of times.so the particle is said to be accelerating.there is always instantaenous acceleration.but the average acceleration becomes zero after every round because velocity becomes the same after every round.

No. Velocity has direction and magnitude. The magnitude can be constant, but if the body is in circular motion, the direction of the movement is constantly changing, which means that the velocity is constantly changing. Changing velocity means that the body is accelerating. In this case, because the motion of the body is always changing away from a straight line to cause it to go round the circle, the acceleration acts towards the centre of the circle.

The sign on velocity indicates the direction of motion.

Velocity is a speed and a direction of motion.

That simply means that its velocity is changing.

To accelerate a body one must change its velocity or direction at an instantaneous moment. Since in a the velocity is uniform the direction at every point on the circular path is different. Thus making it accelerated.

No. Velocity combines speed and the direction of motion.Constant velocity is constant speed in a straight line.In circular motion, the velocity is always changing even if the speed is constant,because the direction is always changing.