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 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 t1 and t2 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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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%
From NCERT
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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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Given below are two statements:

 Assertion (A): Position-time graph of a stationary object is a straight line parallel to the time axis. Reason (R): For a stationary object, the position does not change with time.

 1 Both (A) and (R) are True and (R) is the correct explanation of (A). 2 Both (A) and (R) are True but (R) is not the correct explanation of (A). 3 (A) is True but (R) is False. 4 Both (A) and (R) are False.
Subtopic:  Distance & Displacement |
88%
From NCERT
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The acceleration of a particle starting from rest varies with time according to the relation A = – aω2sinωt. The displacement of this particle at a time t will be:

1. $-\frac{1}{2}\left({\mathrm{a\omega }}^{2}\mathrm{sin\omega t}\right){\mathrm{t}}^{2}$

2. $\mathrm{a\omega sin\omega t}$

3. $\mathrm{a\omega cos\omega t}$

4. $\mathrm{asin\omega t}$

Subtopic:  Non Uniform Acceleration |
59%
From NCERT
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A thief is running away on a straight road in a jeep moving with a speed of $$9$$ m/s. A policeman chases him on a motorcycle moving at a speed of $$10$$ m/s. If the instantaneous separation of the jeep from the motorcycle is $$100$$ m, how long will it take for the policeman to catch the thief?
1. $$1$$ s
2. $$19$$ s
3. $$90$$ s
4. $$100$$ s

Subtopic:  Relative Motion in One Dimension |
83%
From NCERT
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A particle is projected upwards. The times corresponding to height h while ascending and while descending are t1 and t2 respectively. The velocity of projection will be:

1. gt1

2. gt2

3. $g$ $\left({t}_{1}+{t}_{2}\right)$

4. $\frac{g\left({t}_{1}+{t}_{2}\right)}{2}$

Subtopic:  Uniformly Accelerated Motion |
69%
From NCERT
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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 |
86%
From NCERT
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A student is standing at a distance of 50 metres from the bus. As soon as the bus begins its motion with an acceleration of 1 ms–2, the student starts running towards the bus with a uniform velocity u. Assuming the motion to be along a straight road, the minimum value of u, so that the student is able to catch the bus is:

1. 5 ms–1

2. 8 ms–1

3. 10 ms–1

4. 12 ms–1

Subtopic:  Uniformly Accelerated Motion |
73%
From NCERT
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