For an object falling under constant gravity, which pair of graphs against time are straight lines?
ADisplacement-time and acceleration-time
BDisplacement-time graph only
CVelocity-time and acceleration-time
DAcceleration-time graph only
Answer & Solution
Correct answer: C. Velocity-time and acceleration-time
1. Acceleration under gravity is constant, so acceleration versus time is a flat, straight line.
2. Velocity grows steadily as v = v_0 + gt, which is also a straight line.
3. Displacement grows with t squared, so displacement versus time is curved, not straight.
_Source: OpenStax Physics (CC BY 4.0), Ch 3 "Acceleration", section 3.2 Representing Acceleration with Equations and Graphs_
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