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%
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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%
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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 |
70%
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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 |
70%
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A body is projected vertically upwards with a speed $$v.$$ The distance travelled by the body in the last second of upward journey is the same as that of:

 1 distance travelled in last second of downward journey 2 distance travelled in first second of upward journey 3 distance travelled in first second of downward journey 4 both (1) and (2)
Subtopic:  Distance & Displacement |
67%
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Given below are two statements:
 Assertion (A): Adding a scalar to a vector of the same dimension is a meaningful algebraic operation. Reason (R): Displacement can be added to distance.

 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 |
68%
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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 |
62%
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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%
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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%
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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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