Question

Figure shows the $\text{position}-\text{time}$ graph for a particle in one-dimensional motion. Which of the graphs in figure represent the variation in the velocity of the particle with time?

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Since, Slope of distance versus time gives velocity.
According to given graph,
From $O$ to $P$: Slope is constant and positive; hence object has constant velocity in positive direction.
From $P$ to $Q$: Slope is zero, hence velocity is zero.
From $Q$ to $S$: Slope is constant and negative; hence object has constant velocity in negative direction.
The only graph that fits all three criteria is $C$.
Final Answer: (c)