Motion in a Straight Line: Distance vs Displacement
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Questions and Answers

Find the displacement between A and B.

  • 8 m
  • 5 m
  • 7 m (correct)

Which of the following statements about displacement and distance travelled is correct?

  • When displacement is zero, distance travelled is not zero. (correct)
  • When displacement is zero, distance travelled is also zero.
  • When distance is zero, displacement is not zero.
  • Distance travelled and displacement are always equal.
  • None of the above statements is correct.

Distance travelled by object is zero, the displacement ..... be non-zero.

may

Distance travelled by object is not zero then displacement ..... be zero.

<p>may not</p> Signup and view all the answers

Displacement moved is zero then distance ..... or ..... zero.

<p>may, may not</p> Signup and view all the answers

If displacement is not equal to zero, then distance ..... equal to zero.

<p>must not</p> Signup and view all the answers

A particle is moving on a straight line; distance is equal to displacement.

<p>True (A)</p> Signup and view all the answers

Displacement is independent of the choice of the frame of reference.

<p>True (A)</p> Signup and view all the answers

For a particle moving on a parabolic path, distance always greater than displacement.

<p>True (A)</p> Signup and view all the answers

Displacement is not zero; then distance must not be zero.

<p>True (A)</p> Signup and view all the answers

Distance is not equal to zero; then displacement may be equal to zero.

<p>True (A)</p> Signup and view all the answers

Which of the following statements is correct about distance and displacement?

<p>Statement 1 is false, and Statement 2 is true. (B)</p> Signup and view all the answers

Which of the following statements is correct about rest, motion, distance, and displacement?

<p>Statement 1 is false, and Statement 2 is true. (B)</p> Signup and view all the answers

Which of the following options is correct for motion in one dimension (1-D) without a change in direction?

<p>Distance = |displacement| (A)</p> Signup and view all the answers

Which of the following options is never correct for a moving object?

<p>Distance &lt; |displacement| (D)</p> Signup and view all the answers

Match the following scenarios with the correct relationship between distance and displacement.

<p>Object is moving in a straight line = Distance ≤ displacement Object is moving on a straight line without a change in direction = Distance &gt; displacement Object is projected upward from ground = Distance = displacement Moving on a circular path = Distance ≥ displacement</p> Signup and view all the answers

Flashcards

Displacement

The shortest distance between the initial and final positions of an object, taking into account direction.

Distance

The total path length traveled by an object, regardless of direction.

What is the difference between distance and displacement?

Distance is the total path length, while displacement is the shortest distance between the starting and ending points, considering direction.

Can displacement be zero, even if distance is not?

Yes, if an object moves in a closed loop, its displacement is zero, even though the distance traveled might be considerable.

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If distance is zero, can displacement be non-zero?

No, if the distance travelled is zero, the object hasn't moved from its initial position, meaning its displacement is zero.

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Is an object moving if the distance is zero?

No, if the distance travelled is zero, the object hasn't moved from its initial position, meaning it's stationary.

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When is distance equal to displacement?

When an object moves in a straight line without changing direction, the distance traveled is equal to the displacement.

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Is displacement independent of the frame of reference?

No, displacement is dependent on the frame of reference. The same object can have different displacements relative to different reference points.

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When is distance greater than displacement?

Distance is always greater than or equal to the magnitude of displacement. Distance can be greater than displacement when an object moves along a path that is not a straight line.

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Is distance and displacement different physical quantities?

Yes, distance and displacement are different physical quantities, even though they are often related.

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Do distance and displacement have the same unit and dimension?

Yes, both distance and displacement are measured in units of length, such as meters or kilometers.

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Are rest and motion absolute terms?

No, rest and motion are relative terms. An object can be at rest relative to one reference point and in motion relative to another.

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Can distance decrease with time?

No, distance travelled cannot decrease with time. It can only increase or stay the same.

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Can displacement decrease with time?

Yes, displacement can decrease with time if an object is moving towards its starting point.

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What is the relationship between distance and displacement in 1-D motion without change in direction?

Distance is equal to the magnitude of displacement when an object moves in one dimension without changing direction.

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What is the relationship between distance and displacement in 1-D motion with change in direction?

Distance is always greater than or equal to the magnitude of displacement in one-dimensional motion with a change in direction.

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What is the relationship between distance and displacement for a moving object?

Distance is never less than the magnitude of displacement, but can be equal to or greater than it, depending on the path taken.

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Distance and displacement for an object moving in a straight line?

The distance traveled is equal to the magnitude of the displacement for an object moving in a straight line without changing direction.

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Distance and displacement for an object moving in a straight line without changing direction?

The distance traveled is equal to the magnitude of displacement when an object moves in a straight line without changing direction.

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Distance and displacement for an object moving in a straight line with changes in direction?

Distance is always greater than the magnitude of the displacement when an object moves in a straight line with changes in direction.

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Distance and displacement for an object thrown upward?

The distance traveled is greater than the magnitude of the displacement when an object is thrown upward, as it moves in a non-straight path.

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Distance and displacement for an object moving in a circle?

The distance traveled is always greater than the magnitude of the displacement when an object moves in a circular path, except when it completes a full circle.

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Distance and displacement for an object moving randomly in a straight line?

The distance traveled for an object moving randomly in a straight line can be the same as or greater than the magnitude of the displacement, depending on the path.

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Distance and displacement for an object moving back and forth in a straight line?

The distance traveled is greater than the magnitude of the displacement when an object moves back and forth in a straight line.

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Distance and displacement for an object moving on a path that is neither a straight line nor a circle?

The distance traveled is usually greater than the magnitude of the displacement when an object moves on a path that is neither a straight line nor a circle.

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Can displacement be positive, negative, or zero?

Yes, displacement can be positive, negative, or zero and the sign indicates the direction of the change in position.

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Can distance be negative?

No, distance is always a positive or zero value, as it measures the total path length.

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Study Notes

Motion in a Straight Line: Distance and Displacement

  • Displacement is not always zero, even if the distance is zero
  • Distance is not always equal to zero if the displacement is zero
  • Distance and displacement are different physical quantities
  • For motion in one direction without changing direction, Distance = |Displacement|.
  • When a particle changes direction, Distance > |Displacement|
  • Distance traveled by an object is always greater than or equal to the magnitude of its displacement
  • Displacement is independent of the choice of frame of reference
  • The distance covered by an object is never less than its displacement
  • Displacement can be zero while distance is non-zero.Distance can be greater or less than displacement.
  • Distance is a scalar quantity and displacement is a vector quantity.
  • Distance and displacement are measured in the same units (e.g., meters).
  • Displacement can be negative if its direction is opposite to the positive direction.
  • If an object moves along a straight line without changing directions, its distance will always be greater than or equal to the magnitude of its displacement.
  • If an object moves in a straight line but changes directions, its distance will always be greater than its displacement.
  • The distance traveled by an object is always a positive quantity.

Important Concepts

  • Distance: Total length of the path covered by an object. Scalar quantity. Always positive.
  • Displacement: The shortest distance between the initial and final position. Vector quantity. Can be positive, negative, or zero.
  • Rest and motion are relative terms; it depends on the frame of reference

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Description

This quiz explores the concepts of distance and displacement in motion along a straight line. Understand the differences between these two fundamental physical quantities, their properties, and how they are measured. Test your knowledge on the principles governing distance and displacement.

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