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 |
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A vehicle travels half the distance $$\mathrm{L}$$ with speed $$\mathrm{v_1}$$ and the other half with speed $$\mathrm{v_2},$$ then its average speed is:
1. $\frac{{\mathrm{v}}_{1}+{\mathrm{v}}_{2}}{2}$

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

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

4. $\frac{\mathrm{L}\left({\mathrm{v}}_{1}+{\mathrm{v}}_{2}\right)}{{\mathrm{v}}_{1}{\mathrm{v}}_{2}}$

Subtopic:  Average Speed & Average Velocity |
76%
From NCERT
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The coordinate of an object is given as a function of time by $\mathrm{x}=7\mathrm{t}-3{\mathrm{t}}^{2}$, 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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A car is moving along a straight line, say OP in the figure. It moves from O to P in 18 s and returns from P to Q in 6.0 s. The average velocity and average speed of the car in going from O to P and back to Q respectively are:

1.  10 m/s & 10 m/s

2.  20 m/s & 30 m/s

3.  20 m/s & 20 m/s

4.  10 m/s & 20 m/s

Subtopic:  Average Speed & Average Velocity |
70%
From NCERT
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A particle moves with a velocity $\mathrm{v}={\mathrm{\alpha t}}^{3}$ along a straight line. The average speed in time interval $$t=0$$ to $$t=T$$ will be:

1. ${\mathrm{\alpha T}}^{3}$

2. $\frac{{\mathrm{\alpha T}}^{3}}{2}$

3. $\frac{{\mathrm{\alpha T}}^{3}}{3}$

4. $\frac{{\mathrm{\alpha T}}^{3}}{4}$

Subtopic:  Average Speed & Average Velocity |
60%
From NCERT
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The position of an object moving along $$\mathrm{x}$$-axis is given by $$x=a+bt^2$$, where $$a=8.5$$ m, $$b=2.5$$ ${\mathrm{ms}}^{-2}$ and $$t$$ is measured in seconds. Its average velocity between $$t=2.0$$ s and $$t=4.0$$ s is:
1. $$10$$ m/s
2. $$15$$ m/s
3. $$20$$ m/s
4. $$25$$ m/s

Subtopic:  Average Speed & Average Velocity |
64%
From NCERT
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A particle starts from rest with constant acceleration. The ratio of space-average velocity to the time-average velocity is:

where time-average velocity and space-average velocity, respectively, are defined as follows:

$}_{time}$ $=$ $\frac{\int vdt}{\int dt}$
$}_{space}$ $=$ $\frac{\int vds}{\int ds}$ 

1. $\frac{1}{2}$

2. $\frac{3}{4}$

3. $\frac{4}{3}$

4. $\frac{3}{2}$

Subtopic:  Average Speed & Average Velocity |
From NCERT
AIPMT - 1999
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