Question:
A particle starting from rest is subjected to a constant force. The plot of distance traveled along the direction of the force as a function of time is a/an ..............
A particle starting from rest is subjected to a constant force. The plot of distance traveled along the direction of the force as a function of time is a/an ..............
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The displacement-time graph for an object under constant acceleration is always a parabola.
Updated On: Dec 11, 2025
- straight line
- circle
- parabola
- ellipse
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The Correct Option is C
Solution and Explanation
Step 1: Understanding the motion of the particle.
When a particle starts from rest and is subjected to a constant force, it experiences uniform acceleration according to Newton's second law of motion. The displacement of the particle as a function of time under constant acceleration follows a parabolic trajectory.
Step 2: Analyzing the options.
(A) straight line: Incorrect — A straight line would represent constant velocity, not acceleration.
(B) circle: Incorrect — Circular motion is not described here, as the force is constant in one direction.
(C) parabola: Correct — The distance-time graph for uniform acceleration is a parabola.
(D) ellipse: Incorrect — An ellipse is not the correct shape for this scenario.
Step 3: Conclusion.
The correct answer is (C) parabola, as the displacement under constant acceleration follows a parabolic curve.
When a particle starts from rest and is subjected to a constant force, it experiences uniform acceleration according to Newton's second law of motion. The displacement of the particle as a function of time under constant acceleration follows a parabolic trajectory.
Step 2: Analyzing the options.
(A) straight line: Incorrect — A straight line would represent constant velocity, not acceleration.
(B) circle: Incorrect — Circular motion is not described here, as the force is constant in one direction.
(C) parabola: Correct — The distance-time graph for uniform acceleration is a parabola.
(D) ellipse: Incorrect — An ellipse is not the correct shape for this scenario.
Step 3: Conclusion.
The correct answer is (C) parabola, as the displacement under constant acceleration follows a parabolic curve.
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