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Motion Under Gravity

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Question

instantaneous velocity of a particle is zero does it mean acceleration is zero

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Solution

Dear Student,

No, If instantaneous velocity of a particle is zero then it does not mean that its acceleration is zero. A ball thrown upward will have zero instantaneous velocity at its highest point but the acceleration is not zero.

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Similar questions

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. If the acceleration of a body is zero, does it mean that its velocity is also zero? (Yes/No)

Q. Assertion :We know the relation

a = v \frac{d v}{d s} .

Therefore, if velocity of a particle is zero, then acceleration is also zero. Reason: In the above equation,

a

is the instantaneous acceleration.

Q. Choose the correct option:
i. Accelerated motion means acceleration and velocity have same direction.
ii. It is possible that particle have zero acceleration with non-zero velocity.
iii. When acceleration of the particle is positive, it is under accelerated motion.

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).

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