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Direction of Instantaneous Velocity

a:if tge aver...

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a:if tge average velocity of a particle is zero in a tike interval,it is possible that the ins†an†an eous velocity is never zero in the interval r:if the average velocity of a pqrticle moving on a straight line is zero in a tike interval then qtleast for one moment the ins†an t†an eous velocity will alsi be zero in the intetval

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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.

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. 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 option based on following statements.
(A) Average speed of a particle can never be less than the magnitude of average velocity.
(B) We may come across

∣ ∣ ∣ \frac{d \to v}{d t} ∣ ∣ ∣ \neq 0

\frac{d}{d t} | \to v | = 0

.
(C) The average velocity of a particle is zero in a time interval but instantaneous velocity is never zero in that interval.

Q. The velocity-time plot for a particle moving on a straight line is shown in the figure.
Figure

(a) The particle has a constant acceleration.
(b) The particle has never turned around.
(c) The particle has zero displacement.
(d) The average speed in the interval 0 to 10 s is the same as the average speed in the interval 10 s to 20 s.

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