The figure gives the $$(x\text-t)$$ plot of a particle in a one-dimensional motion. Three different equal intervals of time are shown. The signs of average velocity for each of the intervals $$1,$$ $$2$$ & $$3,$$ respectively are:

 1 $$-,-,+$$ 2 $$+,-,+$$ 3 $$-,+,+$$ 4 $$+,+,-$$
Subtopic:  Average Speed & Average Velocity |
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If a body travels some distance in a given time interval, then for that time interval, its:

 1 Average speed  ≥  |Average velocity| 2 |Average velocity|  ≥  Average speed 3 Average speed < |Average velocity| 4 |Average velocity| must be equal to average speed.

Subtopic:  Average Speed & Average Velocity |
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A car moves from $$X$$ to $$Y$$ with a uniform speed $$v_u$$ and returns to $$X$$ with a uniform speed $$v_d.$$ The average speed for this round trip is:
1. $$\frac{2 v_{d} v_{u}}{v_{d} + v_{u}}$$
2. $$\sqrt{v_{u} v_{d}}$$
3. $$\frac{v_{d} v_{u}}{v_{d} + v_{u}}$$
4. $$\frac{v_{u} + v_{d}}{2}$$

Subtopic:  Average Speed & Average Velocity |
82%
From NCERT
AIPMT - 2007
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