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

• 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 $

Answer 1

Answer: (A)

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., $v_{A}=v_{B}=0.5\,m/s$