# 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 |
70%
From NCERT
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A particle starts from rest. Its acceleration $$(a)$$ versus time $$(t)$$ is as shown in the figure. The maximum speed of the particle will be:

1. $$110~\text{m/s}$$
2. $$55~\text{m/s}$$
3$$550~\text{m/s}$$
4. $$660~\text{m/s}$$

Subtopic:  Graphs |
72%
From NCERT
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A stone dropped from a building of height $$h$$ and reaches the earth after $$t$$ seconds. From the same building, if two stones are thrown (one upwards and other downwards) with the same velocity $$u$$ and they reach the earth surface after $$t_1$$ and $$t_2$$ seconds respectively, then:

1. $t={t}_{1}-{t}_{2}$

2. $t=\frac{{t}_{1}+{t}_{2}}{2}$

3. $t=\sqrt{{t}_{1}{t}_{2}}$

4. $t={t}_{1}^{2}{t}_{2}^{2}$

Subtopic:  Uniformly Accelerated Motion |
77%
From NCERT
PMT - 1997
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A particle is dropped vertically from rest from a height. The time taken by it to fall through successive distances of $$1~\text{m}$$ each will then be:

 1 All equal, being equal to $$\sqrt{2 / g}$$ s. 2 In the ratio of the square roots of the integers $$1,2,3....$$ 3 In the ratio of the difference in the square roots of the integers $$\sqrt{1}$$, $$(\sqrt{2}-\sqrt{1})$$,$$(\sqrt{3}-\sqrt{2})$$,$$(\sqrt{4}-\sqrt{3})$$ $$\ldots$$ 4 In the ratio of the reciprocal of the square roots of the integers i.e,... $$\frac{1}{\sqrt{1}}$$, $$\frac{1}{\sqrt{2}}$$, $$\frac{1}{\sqrt{3}}$$,$$\frac{1}{\sqrt{4}}$$
Subtopic:  Uniformly Accelerated Motion |
82%
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The graph between the displacement $$x$$ and time $$t$$ for a particle moving in a straight line is shown in the figure.

During the interval OA, AB, BC and CD the acceleration of the particle is:

 OA AB BC CD 1. + 0 + + 2. – 0 + 0 3. + 0 – + 4. – 0 – 0
Subtopic:  Graphs |
50%
From NCERT
PMT - 1986
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A lift is going up. The variation in the speed of the lift is as given in the graph. What is the height to which the lift takes the passengers?

 1 $$3.6~\text{m}$$ 2 $$28.8~\text{m}$$ 3 $$36.0~\text{m}$$ 4 It cannot be calculated from the above graph.
Subtopic:  Graphs |
68%
From NCERT
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The velocity-time graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in $$6$$ seconds are, respectively:

1. $$8$$ m, $$16$$ m

2. $$16$$ m, $$8$$ m

3. $$16$$ m, $$16$$ m

4. $$8$$ m, $$8$$ m

Subtopic:  Graphs |
78%
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In the following graph, the distance travelled by the body in metres is:

 1 $$200$$ 2 $$250$$ 3 $$300$$ 4 $$400$$
Subtopic:  Graphs |
86%
From NCERT
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Which graph represents a uniformly accelerated motion?

 1 2 3 4
Subtopic:  Graphs |
66%
From NCERT
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Which of the following velocity-time graphs shows a realistic situation for a body in motion?

 1 2 3 4

Subtopic:  Graphs |
87%
From NCERT
AIIMS - 2004
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