Question:
The ratio of the numerical value of the average velocity and average speed of body is always
The ratio of the numerical value of the average velocity and average speed of body is always
Updated On: Aug 15, 2022
- unity
- unity or less
- unity or more
- less than unity
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The Correct Option is B
Solution and Explanation
The average speed of a particle in a given interval of time is defined as the ratio of distance travelled to the time taken while average velocity is defined as the ratio of displacement to time taken. Thus, if the distance travelled is As and displacement of a particle is $ \Delta r $ in a given time interval $ \Delta t $ then $ {{v}_{av}}= $ average speed $ =\frac{\Delta s}{\Delta t} $ and $ {{v}_{av}}= $ average velocity $ =\frac{\Delta r}{\Delta t} $ So, the required ratio is always unity or less than one.
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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.