Question

The figure shows velocity ($v$)-time ($t$) graph of a particle moving along a straight line. Identify the correct statement.

• A. The particle starts from the origin
• B. The particle crosses it initial position at $t=2s$
• C. The average speed of the particle in the time interval, $0\le t\le 2s$ is zero
• D. All of the above

Answer 1

The correct option is B The particle crosses it initial position at $t=2s$

A. We can't say anything about the initial position from v-t graph.
B. It crosses initial position when its displacement is zero, i.e positive area above x-axis is equal to negative area below x-axis. Since the line is of slope -1 (135 degrees), thus at t=2 seconds, it will have such a condition (areas of triangle same).
C. Average speed is not zero because speed is the magnitude of velocity, so it will always be positive.