Question

The $x-t$ plot shown in the figure below describes the motion of the particle, along $x-axis$, between two positions $A$ and $B$. The particle passes through two intermediate points $P_1$ and $P_2$ as shown in the figure

• A. The instantaneous velocity is positive at $P_1$ and negative at $P_2$
• B. The instantaneous velocity is negative at both $P_1$ and $P_2$
• C. The instantaneous velocity is negative at $P_1$ and positive at $P_2$
• D. The instantaneous velocity is positive at both $P_1$ and $P_2$

Answer 1

Answer: (A)

The instantaneous velocity is positive at $P_1$ and negative at $P_2$

Answer 2

According to the figure, the displacement at point $P_{1}$ is increasing, so velocity at $P_{1}$ will be positive.
At point $P_{2}$, displacement is decreasing, so the instantaneous velocity will be negative.