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Question

For a particle moving along a straight line, match the left column entries with the entries of right column.


Column 1Column 2

Distance

Can decrease with time

Average speed

Can increase with time

Average velocity

Can be zero

Magnitude of displacement

can be zero

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Solution

Part A:

  1. Distance can increase with time or can be zero.
  2. Distance is a scalar quantity it has magnitude only, so it can increase with time.
  3. Distance can be zero when the object is at rest.

Thus, A-II, III, IV

Part B:

  1. Average speed can decrease with time, can increase with time, or can be zero.
  2. Average speed can increase with time because it does not indicate direction.
  3. Average speed can decrease by applying acceleration opposite direction to the motion.
  4. Average speed can be zero when the object is at rest.

Thus, B - I, II, III, IV

Part C:

  1. Average velocity can decrease with time, can increase with time or can be zero.
  2. Average velocity is a vector quantity it has magnitude and direction so it can increase, decrease, and can be zero with time.

Thus, C - I, II, III, IV

Part D:

  1. The magnitude of displacement can decrease with time, can increase with time or can be zero
  2. When the body moves towards the initial position magnitude of displacement decreases.
  3. If the initial and final position coincides then the magnitude of displacement can be zero.
  4. When the body moves away the initial position magnitude of displacement increase with time.

Thus, D - I, II, III, IV

Left columnRight Column
DistanceCan increase with time, Can be zero
Average speedCan decrease with time, Can increase with time, Can be zero
Average velocityCan decrease with time, Can increase with time, Can be zero
Magnitude of displacementCan decrease with time, Can increase with time, Can be zero

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