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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 Assertion (A): Displacement of a body may be zero when distance travelled by it is not zero. Reason (R): The displacement is the longest distance between initial and final position.

 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 |
85%
From NCERT
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A car moves with a speed of $$60$$ km/h for $$1$$ hour in the east direction and with the same speed for $$30$$ min in the south direction. The displacement of the car from the initial position is:
1. $$60$$ km
2. $$30 \sqrt{2}$$  km
3. $$30 \sqrt{5}$$ km
4. $$60 \sqrt{2}$$ km

Subtopic:  Distance & Displacement |
69%
From NCERT
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A particle moves along a path $$ABCD$$ as shown in the figure. The magnitude of the displacement of the particle from $$A$$ to $$D$$ is:

1. $\left(5+10\sqrt{2}\right)$m
2. $$10$$ m
3. $15\sqrt{2}$ m
4. $$15$$ m

Subtopic:  Distance & Displacement |
69%
From NCERT
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A drunkard walking in a narrow lane takes $$5$$ steps forward and $$3$$ steps backward, followed again by $$5$$ steps forward and $$3$$ steps backward, and so on. Each step is $$1$$ m long and requires $$1$$ s. There is a pit on the road $$13$$ m away from the starting point. The drunkard will fall into the pit after:
1. $$37$$ s
2. $$31$$ s
3. $$29$$ s
4. $$33$$ s

Subtopic:  Distance & Displacement |
61%
From NCERT
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The displacement x of a particle moving in one dimension under the action of a constant force is related to time t by the equation $t$ $=$ $\sqrt{x}$ $+$ $3$, where x is in metres and t is in seconds. What is the displacement of the particle from t = 0 s to t = 6 s?

1.  0

2.  12 m

3.  6 m

4.  18 m

Subtopic:  Distance & Displacement |
58%
From NCERT
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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 |
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 $$(\mathrm{x-t})$$ 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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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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