Question

A displacement $s$ v/s time $t$ curve of a particle is shown in the figure. The maximum instantaneous velocity $v_m$ of the particle is around the point

• A. $S$ with $v_m\approx 2m/s$
• B. $R$ and $v_m\approx 2m/s$
• C. $Q$ and $v_m\approx 1m/s$
• D. $R$ and $v_m\approx 0.5m/s$

Answer 1

The correct option is B $R$ and $v_m\approx 2m/s$

The slope of the displacement – time graph is maximum at $R$. It is easy to see that the slope decrease on the left as well as on the right of $R$.
The velocity at $R$ is $v_m=\frac{\Delta s}{\Delta t}\approx \frac{0.5}{0.25}=2m/s$