Motion in 1D
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4. Graphical Analysis (x-t)
MCQ
30 Jul 2026
Concept: The slope of a displacement-time graph represents the velocity of the particle.
$\text{Velocity } v = \frac{dx}{dt}$
If the slope decreases over time, the velocity is decreasing, which indicates retarded motion until the slope becomes zero and the particle stops.
The displacement of a particle as a function of time is shown in the image given below. The figure shows that
$\text{Velocity } v = \frac{dx}{dt}$
If the slope decreases over time, the velocity is decreasing, which indicates retarded motion until the slope becomes zero and the particle stops.
A.
The particle starts with certain velocity but the motion is retarded and finally the particle stops
B.
The velocity of the particle is constant throughout
C.
The acceleration of the particle is constant throughout
D.
The particle starts from rest and accelerates uniformly