Question:
Among the four graphs, there is only one graph for which average velocity over the time interval $ (0, T) $ can vanish for a suitably chosen $ T $ . Which one is it ?
Among the four graphs, there is only one graph for which average velocity over the time interval $ (0, T) $ can vanish for a suitably chosen $ T $ . Which one is it ?
Updated On: Jul 6, 2022
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The Correct Option is B
Solution and Explanation
In the graph (b), for one value of displacement, there are two timings. As a result of it, for one time, the average velocity is positive and for other time is equal but negative. Due to it the average velocity for timings (equal to time period) can vanish.
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Concepts Used:
Motion in a straight line
The motion in a straight line is an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion.
Types of Linear Motion:
Linear motion is also known as the Rectilinear Motion which are of two types:
- Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
- Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.