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Finding Average Velocity

If average ve...

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If average velocity of a particle moving on a straight line is zero in a time interval then why cannot the acceleration be zero

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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).

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. Acceleration-time graph of a particle moving in a straight line is as shown in figure. At time

t = 0

, velocity of the particle is zero. Find the average acceleration in a time interval from

t = 6

t = 12

Q. A particle moves in a straight line with uniform acceleration. Its velocity at time

t = 0

v_{1}

t = t

v_{2}

. The average velocity of the particle in this time interval is ?

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.

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