Question:
The graph of an object�s motion (along the x-axis) is shown in the figure. The instantaneous velocity of the object at points $A$ and $B$ are $v_A$ and $v_B$ respectively. Then
The graph of an object�s motion (along the x-axis) is shown in the figure. The instantaneous velocity of the object at points $A$ and $B$ are $v_A$ and $v_B$ respectively. Then
Updated On: Aug 15, 2022
- $v_A = v_B = 0.5\,m/s $
- $v_A = 0 .5\,m/s < v_B$
- $v_A = 0 .5\,m/s > v_B$
- $v_A = v_B = 2\,m/s $
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The Correct Option is A
Solution and Explanation
Instantaneous velocity $v=\frac{\Delta x_{A}}{\Delta t_{A}}=\frac{4m}{8s}=0.5\,m/s$
and $v_{B}=\frac{\Delta x_{B}}{\Delta t_{B}}=\frac{8m}{16s}=0.5\,m/s$
i.e., $v_{A}=v_{B}=0.5\,m/s$
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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.