Question

The displacement-time graph of a particle moving along the x-axis is shown below. The average velocity of the particle for the time interval $(0-\frac{3T}{2})s$ is

• A. $\frac{4x}{3T}$
• B. $\frac{x}{T}$
• C. 0
• D. $\frac{2x}{3T}$

Answer 1

The correct option is C 0

Let the initial position of the particle at t = 0 be xi and the final position of the particle at $t=\frac{3T}{2}$ be $x_f$.
According to the graph, $x_i=x_f=x$
Net displacement $=x_f–x_i=x–x=0m$
$Averagevelocity=\frac{Netdisplacement}{timetaken}=\frac{0}{\frac{3T}{2}-0}$
⇒ Average velocity = 0 m/s
Hence, the correct answer is option (c).