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

When is the average velocity of a 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.

The motion of a particle, along x-axis, follows the relation x = 8t- 3t^(2) . Here x and t are expressed in metre and second respectively . Find (i) the average velocity of the particle in time interval 0 to 1 s and (ii) its instantaneous velocity at t = 1 s.

Under what condition is the magnitude of the difference of two vectors equal to their resultant ?

Under what conditions the heat of reaction at fixed pressure is equal to that at fixed volume?

If the instantaneous velocity of the particle is zero, will its instantaneous acceleration be necessarily zero?

Under what condition the weighted average becomes identical to the simple average?

Under what conditions the density of a gas is directly proportional to its pressure ?

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?

Under what condition, the weighted average becomes identical to the simple average?