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Which of the following statements is not correct regarding the motion of a particle in a straight line?
- a)x-t graph is a parabola, if motion is uniformly accelerated.
- b)v-t is a straight line inclined to the time-axis, if motion is uniformly accelerated.
- c)x-t graph is a straight line inclined to the time axis if motion is uniform and acceleration is zero.
- d)v-t graph is a parabola if motion is uniform and acceleration is zero.
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Which of the following statements is not correct regarding the motion ...
For uniform motion with zero acceleration, v-t graph is a straight line parallel to the time axis.
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Which of the following statements is not correct regarding the motion ...
Explanation:
The correct answer is option 'D' - v-t graph is a parabola if motion is uniform and acceleration is zero.
Reason:
In a particle's motion in a straight line, the relationship between displacement, velocity, and time can be represented graphically by x-t and v-t graphs.
1. x-t graph:
The x-t graph represents the particle's displacement (x) as a function of time (t). The shape of the x-t graph depends on the type of motion:
- If the motion is uniformly accelerated, the x-t graph will be a parabola. This is because the displacement of the particle increases with time, and the rate of increase is constant. Examples of uniformly accelerated motion include free fall under gravity or a car accelerating uniformly.
- If the motion is uniform and the acceleration is zero, the x-t graph will be a straight line inclined to the time-axis. This indicates that the particle is moving with a constant velocity. Examples of uniform motion include a car moving at a constant speed on a straight road or a person walking at a constant pace.
2. v-t graph:
The v-t graph represents the particle's velocity (v) as a function of time (t). The shape of the v-t graph also depends on the type of motion:
- If the motion is uniformly accelerated, the v-t graph will be a straight line inclined to the time-axis. This indicates that the particle's velocity is increasing or decreasing at a constant rate with time. The slope of the v-t graph represents the acceleration of the particle.
- If the motion is uniform and the acceleration is zero, the v-t graph will be a horizontal straight line parallel to the time-axis. This indicates that the particle is moving with a constant velocity. The slope of the v-t graph is zero, indicating zero acceleration.
Therefore, option 'D' is incorrect because a v-t graph is not a parabola when the motion is uniform and acceleration is zero.
The correct answer is option 'D' - v-t graph is a parabola if motion is uniform and acceleration is zero.
Reason:
In a particle's motion in a straight line, the relationship between displacement, velocity, and time can be represented graphically by x-t and v-t graphs.
1. x-t graph:
The x-t graph represents the particle's displacement (x) as a function of time (t). The shape of the x-t graph depends on the type of motion:
- If the motion is uniformly accelerated, the x-t graph will be a parabola. This is because the displacement of the particle increases with time, and the rate of increase is constant. Examples of uniformly accelerated motion include free fall under gravity or a car accelerating uniformly.
- If the motion is uniform and the acceleration is zero, the x-t graph will be a straight line inclined to the time-axis. This indicates that the particle is moving with a constant velocity. Examples of uniform motion include a car moving at a constant speed on a straight road or a person walking at a constant pace.
2. v-t graph:
The v-t graph represents the particle's velocity (v) as a function of time (t). The shape of the v-t graph also depends on the type of motion:
- If the motion is uniformly accelerated, the v-t graph will be a straight line inclined to the time-axis. This indicates that the particle's velocity is increasing or decreasing at a constant rate with time. The slope of the v-t graph represents the acceleration of the particle.
- If the motion is uniform and the acceleration is zero, the v-t graph will be a horizontal straight line parallel to the time-axis. This indicates that the particle is moving with a constant velocity. The slope of the v-t graph is zero, indicating zero acceleration.
Therefore, option 'D' is incorrect because a v-t graph is not a parabola when the motion is uniform and acceleration is zero.
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Which of the following statements is not correct regarding the motion of a particle in a straight line?a)x-t graph is a parabola, if motion is uniformly accelerated.b)v-t is a straight line inclined to the time-axis, if motion is uniformly accelerated.c)x-t graph is a straight line inclined to the time axis if motion is uniform and acceleration is zero.d)v-t graph is a parabola if motion is uniform and acceleration is zero.Correct answer is option 'D'. Can you explain this answer?
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Which of the following statements is not correct regarding the motion of a particle in a straight line?a)x-t graph is a parabola, if motion is uniformly accelerated.b)v-t is a straight line inclined to the time-axis, if motion is uniformly accelerated.c)x-t graph is a straight line inclined to the time axis if motion is uniform and acceleration is zero.d)v-t graph is a parabola if motion is uniform and acceleration is zero.Correct answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Which of the following statements is not correct regarding the motion of a particle in a straight line?a)x-t graph is a parabola, if motion is uniformly accelerated.b)v-t is a straight line inclined to the time-axis, if motion is uniformly accelerated.c)x-t graph is a straight line inclined to the time axis if motion is uniform and acceleration is zero.d)v-t graph is a parabola if motion is uniform and acceleration is zero.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is not correct regarding the motion of a particle in a straight line?a)x-t graph is a parabola, if motion is uniformly accelerated.b)v-t is a straight line inclined to the time-axis, if motion is uniformly accelerated.c)x-t graph is a straight line inclined to the time axis if motion is uniform and acceleration is zero.d)v-t graph is a parabola if motion is uniform and acceleration is zero.Correct answer is option 'D'. Can you explain this answer?.
Which of the following statements is not correct regarding the motion of a particle in a straight line?a)x-t graph is a parabola, if motion is uniformly accelerated.b)v-t is a straight line inclined to the time-axis, if motion is uniformly accelerated.c)x-t graph is a straight line inclined to the time axis if motion is uniform and acceleration is zero.d)v-t graph is a parabola if motion is uniform and acceleration is zero.Correct answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Which of the following statements is not correct regarding the motion of a particle in a straight line?a)x-t graph is a parabola, if motion is uniformly accelerated.b)v-t is a straight line inclined to the time-axis, if motion is uniformly accelerated.c)x-t graph is a straight line inclined to the time axis if motion is uniform and acceleration is zero.d)v-t graph is a parabola if motion is uniform and acceleration is zero.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is not correct regarding the motion of a particle in a straight line?a)x-t graph is a parabola, if motion is uniformly accelerated.b)v-t is a straight line inclined to the time-axis, if motion is uniformly accelerated.c)x-t graph is a straight line inclined to the time axis if motion is uniform and acceleration is zero.d)v-t graph is a parabola if motion is uniform and acceleration is zero.Correct answer is option 'D'. Can you explain this answer?.
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