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Instantaneous Speed

If magnitude ...

Question

If magnitude of average speed and average velocity over a time interval are same, then

A

The particle must move zero acceleration

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B

The particle must move with non-zero acceleration

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C

The particle must be at rest

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D

The particle must move in a straight line without turning back

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Solution

The correct option is A The particle must move zero acceleration
For a particle moving in straight line the speed and velocity are same. So the particle must move in a straight line without turning back.

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Similar questions

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.

Q. Which of the following statements are incorrect?
(i) Average velocity is path length divided by time interval.
(ii) In general, average speed is greater than the magnitude of the average velocity.
(iii) A particle moving in a given direction with a non-zero velocity can have zero speed.
(iv) The magnitude of average velocity is the average speed.

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. 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. Assertion :A student performed an experiment by moving a certain block in a straight line. The velocity position graph is as shown in the figure. The particle has zero velocity after infinite time. Reason: When a particle is at its maximum position in rectilinear motion its velocity must be zero.

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