# A body is thrown vertically upwards. If the air resistance is to be taken into account, then the time during which the body rises is:  1. Equal to the time of fall. 2. Less than the time of fall. 3. Greater than the time of fall. 4. Twice the time of fall.

Subtopic:  Non Uniform Acceleration |
54%
From NCERT
PMT - 2001
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A body starts to fall freely under gravity. The distances covered by it in the first, second and third second will be in the ratio:
1. $$1:3:5$$
2. $$1:2:3$$
3. $$1:4:9$$
4. $$1:5:6$$

Subtopic:  Uniformly Accelerated Motion |
87%
From NCERT
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A body is thrown vertically up from the ground. It reaches a maximum height of $$100$$ m in $$5$$ s. After what time will it reach the ground from the position of maximum height?
1. $$1.2$$ s
2. $$5$$ s
3. $$10$$ s
4. $$25$$ s

Subtopic:  Uniformly Accelerated Motion |
80%
From NCERT
PMT - 2000
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If a body is thrown up with the velocity of $$15$$ m/s, then the maximum height attained by the body is: (assume $$g = 10$$ m/s2
1. $$11.25$$ m
2. $$16.2$$ m
3. $$24.5$$ m
4. $$7.62$$ m

Subtopic:  Uniformly Accelerated Motion |
89%
From NCERT
PMT - 2003
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If a freely falling body travels in the last second a distance equal to the distance travelled by it in the first three seconds, the time of the travel is:
1. $$6$$ sec
2. $$5$$ sec
3. $$4$$ sec
4. $$3$$ sec

Subtopic:  Uniformly Accelerated Motion |
67%
From NCERT
PMT - 2004
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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 |
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%
From NCERT
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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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