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 |
83%
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A car moves from $$\mathrm{X}$$ to $$\mathrm{Y}$$ with a uniform speed $$\mathrm{v_u}$$ and returns to $$\mathrm{X}$$ with a uniform speed $$\mathrm{v_d}.$$ The average speed for this round trip is:

1. $\frac{2{\mathrm{v}}_{\mathrm{d}}{\mathrm{v}}_{\mathrm{u}}}{{\mathrm{v}}_{\mathrm{d}}+{\mathrm{v}}_{\mathrm{u}}}$

2. $\sqrt{{\mathrm{v}}_{\mathrm{u}}{\mathrm{v}}_{\mathrm{d}}}$

3. $\frac{{\mathrm{v}}_{\mathrm{d}}{\mathrm{v}}_{\mathrm{u}}}{{\mathrm{v}}_{\mathrm{d}}+{\mathrm{v}}_{\mathrm{u}}}$

4. $\frac{{\mathrm{v}}_{\mathrm{u}}+{\mathrm{v}}_{\mathrm{d}}}{2}$

Subtopic:  Average Speed & Average Velocity |
82%
From NCERT
AIPMT - 2007
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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 |
89%
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The coordinate of an object is given as a function of time by $$x = 7 t - 3 t^{2}$$, where $$x$$ is in metres and $$t$$ is in seconds. Its average velocity over the interval $$t=0$$ to $$t=4$$ is will be:
1. $$5$$ m/s
2. $$-5$$ m/s
3. $$11$$ m/s
​​​​​​​4. $$-11$$ m/s

Subtopic:  Average Speed & Average Velocity |
72%
From NCERT
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A particle moving in a straight line covers half the distance with a speed of $$3~\text{m/s}$$. The other half of the distance is covered in two equal time intervals with speeds of $$4.5~\text{m/s}$$ and $$7.5~\text{m/s}$$ respectively. The average speed of the particle during this motion is:
1. $$4.0~\text{m/s}$$
2. $$5.0~\text{m/s}$$
3. $$5.5~\text{m/s}$$
4. $$4.8~\text{m/s}$$

Subtopic:  Average Speed & Average Velocity |
69%
From NCERT
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