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Speed

1.It is not p...

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1.It is not possible to have a situation in which speed of particle is never zero but the average speed in an interval is zero. 2. It is not possible to have a situation in which the speed of particle is always zero but the average speed is not zero. Explain the above statements.

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Q. Mark the correct statements:
(a) The magnitude of the velocity of a particle is equal to its speed.
(b) The magnitude of average velocity in an interval is equal to its average speed in that interval.
(c) It is possible to have a situation in which the speed of a particle is always zero but the average speed is not zero.
(d) It is possible to have a situation in which the speed of the particle is never zero but the average speed in an interval is zero.

Q. Pick the correct statements:
(a) Average speed of a particle in a given time is never less than the magnitude of the average velocity.
(b) It is possible to have a situation in which

|\frac{d \vec{v}}{d t}| \neq 0 but \frac{d}{d t} = |\vec{v}| = 0

(c) The average velocity of a particle is zero in a time interval. It is possible that the instantaneous velocity is never zero is the interval.
(d) The average velocity of a particle moving on a straight line is zero in a time interval. It is possible that the instantaneous velocity is never zero in the interval. (Infinite accelerations are not allowed).

Q. Give an example of motion in which average speed is not zero, but the average velocity is zero.

Q. Which of the following is an example of a motion in which the average speed is not zero, but the average velocity is zero?

The average velocity of a particle moving on a straight line is zero in an interval.

Statement 1: It is possible that the instantaneous acceleration is never zero in the interval.

Statement 2: It is possible that the instantaneous velocity is never zero in the interval.

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