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Question
The numerical ratio of displacement to distance for a moving object is :
Options
always less than 1
equal to 1 or more than 1
always more than 1
equal to 1 or less than 1
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Solution
equal to 1 or less than 1
i.e., Equal to 1 or less than 1.
Displacement is always smaller than or equal to displacement.
RELATED QUESTIONS
Is displacement a scalar quantity ?
A body is moving in a straight line and its displacement at various instants of time is given in the following table
| Time (s) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Displacement (m) | 2 | 6 | 12 | 12 | 12 | 18 | 22 | 24 |
Plot the displacement-time graph and calculate
(i) Total distance travelled in the interval 1 s to 5 s.
(ii) Average velocity in time interval 1 s to 5 s.
A body at rest is made to fall from the top of a tower. Its displacement at different instants is given in the following table:
| Time (in s) | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 |
| Displacement (in m) | 0.05 | 0.20 | 0.45 | 0.80 | 1.25 | 1.80 |
Draw a displacement-time graph and state whether the motion is uniform or non-uniform?
A car covers 90 km in `1 1/2` hours towards east. Calculate
- displacement of car,
- its velocity in (a) kmh−1 (b) ms−1.
The table below shows the distance travelled by two vehicles A and B during each second:
| Time (s) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Distance travelled by A (m) | 0 | 20 | 80 | 180 | 240 | 300 | 360 | 420 |
| Distance travelled by B (m) | 0 | 10 | 40 | 90 | 160 | 250 | 360 | 490 |
Which vehicle is moving with uniform velocity?
The table below shows the distance travelled by two vehicles A and B during each second:
| Time (s) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Distance travelled by A (m) | 0 | 20 | 80 | 180 | 240 | 300 | 360 | 420 |
| Distance travelled by B (m) | 0 | 10 | 40 | 90 | 160 | 250 | 360 | 490 |
Which vehicle is moving with a constant acceleration?
The table below shows the distance travelled by two vehicles A and B during each second:
| Time (s) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Distance travelled by A (m) | 0 | 20 | 80 | 180 | 240 | 300 | 360 | 420 |
| Distance travelled by B (m) | 0 | 10 | 40 | 90 | 160 | 250 | 360 | 490 |
Give the value of the velocity at which they are meeting
State whether true or false. If false, correct the statement.
Distance covered by a particle never becomes zero but displacement becomes zero.
Exercise Problems.
An athlete completes one round of a circular track of diameter 200 m in 40 s. What will be the distance covered and the displacement at the end of 2 m and 20 s?
Slope of a velocity-time graph gives
