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If the displacement-time graph of a particle is parallel to the time axis, the velocity of the particle is

  • a)
    unity

  • b)
    infinity

  • c)
    zero

  • d)
    none of these

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the displacement-time graph of a particle is parallel to the time a...

  • If the displacement-time graph of a particle is parallel to the time axis, this means that the displacement remains constant over time. In other words, there is no change in displacement as time progresses.

  • Since velocity is defined as the rate of change of displacement with respect to time, and there is no change in displacement, the velocity of the particle is zero.



Topic in NCERT: VELOCITY-TIME GRAPHS


Line in NCERT: "if the object moves at uniform velocity, the height of its velocity-time graph will not change with time."
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Most Upvoted Answer
If the displacement-time graph of a particle is parallel to the time a...
Explanation:

Displacement-time graph shows the position of an object with respect to time. If the displacement-time graph of a particle is parallel to the time axis, then it means that the particle is not moving. The particle is at rest and its displacement is not changing with respect to time.

Velocity is the rate of change of displacement with respect to time. If the displacement is not changing with respect to time, then the velocity of the particle is zero. This is because the rate of change of zero is still zero.

Hence, the correct answer is option C - zero.
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Community Answer
If the displacement-time graph of a particle is parallel to the time a...
Zero
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