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Q2.13: NCERT Physics - Part 1 MOTION IN A STRAIGHT LINE 2.13 Solution: Figure 2.11 shows the x-t plot of one-dimensional motion of a…
⚠️ Common Exam Traps & Conceptual Pitfalls
Students often mistake the parabolic shape of an $x(t)$ graph for a curved spatial path, but in one‑dimensional motion the particle always moves along a straight line. The graph only shows how the position changes with time; a parabola indicates constant acceleration, not a non‑linear trajectory.
Figure 2.11 shows the x-t plot of one-dimensional motion of a particle. Is it correct to say from the graph that the particle moves in a straight line for t < 0 and on a parabolic path for t > 0? If not, suggest a suitable physical context for this graph.
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**Answer:** No, the graph does not show a change from straight-line to parabolic path. A suitable physical context is a ball thrown vertically upward and returning.
**Step-by-Step Explanation:**
The x-t graph shows position vs time, not the actual path. The particle always moves in one dimension (straight line). The parabolic shape for t > 0 represents motion under constant acceleration (e.g., a ball thrown upward and falling back).
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