Displacement vs. time graph for possible object motion

Steps:

• Identify displacement s as net change in position over time interval t=0 to t=T.
• Recall that displacement graphs depend on motion type: linear for constant velocity, parabolic for constant acceleration.
• Compare choices to standard displacement-time graphs without velocity or acceleration reversals unless specified.
• Select graph matching continuous, directed motion without loops or discontinuities.

Why A is correct:

• A shows a smooth parabolic curve, consistent with s = ut + (1/2)at² for constant acceleration like free fall.

Why the others are wrong:

• B: Linear graph implies constant velocity, but displacement wouldn't return or curve as in accelerated motion.
• C: Oscillatory graph suggests periodic motion like SHM, not typical one-way displacement over finite T.
• D: Flat or irregular line violates continuity of displacement for real objects.

Not enough information on exact motion, but A fits standard cases.

Final answer: A