(A) The instantaneous velocity $v$ is given by the slope of the position-time graph,$v = \frac{dx}{dt}$.Since the graph is a straight line,the slope i

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(A) The instantaneous velocity $v$ is given by the slope of the position-time graph,$v = \frac{dx}{dt}$.Since the graph is a straight line,the slope is constant at all points.From the graph,at point $A$,the displacement $\Delta x = 4\,m$ occurs in time $\Delta t = 8\,s$.Therefore,$v_A = \frac{4\,m}{8\,s} = 0.5\,m/s$.Similarly,at point $B$,the slope of the line remains the same.Thus,$v_B = 0.5\,m/s$.Therefore,$v_A = v_B = 0.5\,m/s$.

Class 11 Physics Motion in Straight Line Instantaneous Velocity and Speed and Velocity-time Graph

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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

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A
$v_A = v_B = 0.5\,m/s$
B
$v_A = 0.5\,m/s < v_B$
C
$v_A = 0.5\,m/s > v_B$
D
$v_A = v_B = 2\,m/s$

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Motion in Straight Line

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Instantaneous Velocity and Speed and Velocity-time Graph

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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

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