# If a particle has negative velocity and negative acceleration, its speed: 1. increases 2. decreases 3. remains the same 4. zero

Subtopic:  Acceleration |
67%
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A particle starts from rest (with constant acceleration) and acquires velocity $$20$$ m/s in $$5$$ s. The distance travelled by the particle in the next $$2$$ s will be:

 1 $$50$$ m 2 $$48$$ m 3 $$100$$ m 4 $$150$$ m
Subtopic:  Uniformly Accelerated Motion |
73%
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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%
From NCERT
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The position-time $$(x\text-t)$$ graphs for two children $$A$$ and $$B$$ returning from their school $$O$$ to their homes $$P$$ and $$Q$$ respectively are shown in the graph. Choose the incorrect statement.

 1 $$B$$ reaches home faster than $$A.$$ 2 $$B$$ overtakes $$A$$ on the road twice. 3 $$B$$ walks faster than $$A.$$ 4 $$A$$ lives closer to the school than $$B.$$
Subtopic:  Instantaneous Speed & Instantaneous Velocity |
60%
From NCERT
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A car moving along a straight highway with a speed of $$126$$ km/h is brought to a stop within a distance of $$200$$ m. How long does it take for the car to stop?

 1 $$10.2$$ s 2 $$9.6$$ s 3 $$11.4$$ s 4 $$6.7$$ s
Subtopic:  Uniformly Accelerated Motion |
72%
From NCERT
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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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The figure gives a speed-time graph of a particle in motion along the same direction. Three equal intervals of time are shown. In which interval is the average acceleration greatest in magnitude?

 1 Interval 2 2 Interval 1 3 Interval 3 4 Equal in all intervals
Subtopic:  Acceleration |
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A boy standing on a stationary lift (open from above) throws a ball upwards with the maximum initial speed he can, equal to $$49~\text{ms}^{-1}.$$ How much time does the ball take to return to his hands?
1. $$5$$ s
2. $$10$$ s
3. $$15$$ s
4. $$7$$ s

Subtopic:  Uniformly Accelerated Motion |
76%
From NCERT
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A passenger arriving in a new town wishes to go from the station to a hotel located $$10$$ km away on a straight road from the station. A dishonest cabman takes him along a circuitous path $$23$$ km long and reaches the hotel in $$28$$ min. The average speed of the taxi is:
1. $$30$$ km/h
2. $$49.3$$ km/h
3. $$55.6$$ km/h
4. $$60$$ km/h

Subtopic:  Average Speed & Average Velocity |
74%
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 |
70%
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