For any particle the average velocity is equal to with the insfantenious,velocity. What is its significance?

When is the average velocity of a particle equal to its instantaneous velocity?

Under what condition is the average velocity of a moving particle equal to its instantaneous velocity?

Under what condition is the average velocity of a moving particle equal to its instantaneous velocity?

These questions have statement I and statement II. Of the four choices given below, choose the one that best describes the two statements. Statement I : The average velocity of a particle may be equal to its instantaneous velocity. Statement II: For a given time interval of a given motion average velocity is single valued while average speed can have many values.

Statement I : If the average velocity of a body is equal in two successive time intervals, its velocity is a constant. Statement II : When a body travels with constant velocity its displacement is proportional to time.

The escape velocity of a particle of mass m is

This displacement of a particle during its motion is equal to half of the product of its instantaneous velocity and time. Show that the particle moves with a constant acceleration.

The ratio of most probable velocity, average velocity and root mean square velocity is

A wheel rolls on a horizontal path with uniform velocity. Prove that the velocity of any point on the circumference of the wheel with respect to its centre is equal to the velocity of the wheel. What will be the instantaneous velocity of the point on the wheel which touches the ground?

For a body moving with a uniform acceleration, prove that its average velocity is the arithmetic mean of its initial and final velocities.