KinematicsHard
Question
Pick the correct statement : -
Options
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 
≠ 0 but 
= 0.
≠ 0 but = 0.C.The average velocity of a particle is zero in a time interval. It is possible that the instantaneous velocity is never zero in the interval.
D.The average velocity a particle moving on a straight line in a time interval. It is possible that the instantaneous velocity is never zero in the interval. (in fine acceleration is not allowed)
Solution
[A] ∵ Distance > Displacement
∴ Average speed > Average velocity
[B] |
| ± 0 ⇒ ᐃ 
± 0
Velocity can change by changing its direction
[C] Ava rage velocity by changing its direction Average velocity depends on displacement in time interval e.g. circular motion → after one revolution displacement become zero hence average velocity but instantaneous velocity never becomes zero during motion.
[D] In a straight line motion ; there must be reversal of the direction of velocity to reach the destination point for making displacement zero and hence instantaneous velocity has to be zero at least once in a time interval.
∴ Average speed > Average velocity
[B] |
| ± 0 ⇒ ᐃ ± 0Velocity can change by changing its direction
[C] Ava rage velocity by changing its direction Average velocity depends on displacement in time interval e.g. circular motion → after one revolution displacement become zero hence average velocity but instantaneous velocity never becomes zero during motion.
[D] In a straight line motion ; there must be reversal of the direction of velocity to reach the destination point for making displacement zero and hence instantaneous velocity has to be zero at least once in a time interval.
Create a free account to view solution
View Solution FreeMore Kinematics Questions
The acceleration-time graph for a body is shown in the graph. Which of the following graphs would probably represent vel...A ball is dropped from the top of a building. The ball takes The ball 0.5 s to fall the 3m length of a window some dista...Two trains, which are moving along different tracks in opposite direction, are put on the same track due to a mistake. T...A particle is moving in a plane with velocity given by = u0î + (aωcosωt) ĵ , where î and ĵ...When acceleration of 5 kg block is 2 m/s2 as shown in figure, then what will be the acceleration of 15 kg block :-...