Question

In figure shows the displacement-time graph of a particle moving on the X-axis.

Figure

(a) the particle is continuously going in positive x direction
(b) the particle is at rest
(c) the velocity increases up to a time t₀, and them become constant
(d) the particle moves at a constant velocity up to a time t₀, and then stops.

Answer 1

(d) The particle moves at a constant velocity up to a time t₀ and then stops.

The slope of the x–t graph gives the velocity. In the graph, the slope is constant from t = 0 to t = t₀, so the velocity is constant. After t = t₀, the displacement is zero; i.e., the particle stops.