Question

he adjacent figure shows the displacement-time graph of a particle starting from origin and moving along the x-axis. Choose the correct option given below.

• A. The particle is continuously going in the positive x direction.
• B. The particle is at rest.
• C. The particle moves at a constant velocity upto a time $t_0$, and then stops.
• D. The particle moves at a constant acceleration upto a time $t_0$, and then stops.

Answer 1

The correct option is C The particle moves at a constant velocity upto a time $t_0$, and then stops.

The slope of the displacement-time graph gives velocity.
In the given graph, the x-t slope is constant upto time $t=t_o$, indicating constant velocity of the body. For $t>t_o$, slope is zero. This means that the body comes to rest at $t_0$.