An object moves along a straight line. It travels $$30$$ m in $$5$$ s and $$60$$ m in the next $$10$$ seconds. The average speed of the object is:
1. $$6$$ m/s
2. $$10$$ m/s
3. $$12$$ m/s
4. $$9$$ m/s
Subtopic:  Average Speed & Average Velocity |
90%
From NCERT
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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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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 |
84%
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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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A vehicle travels half the distance $$L$$ with speed $$v_1$$ and the other half with speed $$v_2,$$ then its average speed is:
1. $$\frac{v_{1} + v_{2}}{2}$$
2. $$\frac{2 v_{1} + v_{2}}{v_{1} + v_{2}}$$
3. $$\frac{2 v_{1} v_{2}}{v_{1} + v_{2}}$$
4. $$\frac{L \left(\right. v_{1} + v_{2} \left.\right)}{v_{1} v_{2}}$$

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 $$x = 7 t - 3 t^{2}$$, 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 passenger arriving in a new town wishes to go from the station to a hotel located $$10$$ km away on a straight road from the station. A dishonest cabman takes him along a circuitous path $$23$$ km long and reaches the hotel in $$28$$ min. The average speed of the taxi is:
1. $$30$$ km/h
2. $$49.3$$ km/h
3. $$55.6$$ km/h
4. $$60$$ km/h

Subtopic:  Average Speed & Average Velocity |
73%
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%
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The position of an object moving along $$x$$-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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