# 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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A body in one-dimensional motion has zero speed at an instant. At that instant, it must have:

 1 zero velocity. 2 zero acceleration. 3 non-zero velocity. 4 non-zero acceleration.
Subtopic:  Instantaneous Speed & Instantaneous Velocity |
72%
From NCERT
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If a particle is moving along a straight line with increasing speed, then:

 1 its acceleration is negative. 2 its acceleration may be decreasing. 3 its acceleration is positive. 4 both (2) & (3)
Subtopic:  Acceleration |
59%
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When the velocity of a body is variable, then:

 1 its speed may be constant 2 its acceleration may be constant 3 its average acceleration may be constant 4 all of the above
Subtopic:  Acceleration |
71%
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A particle moves with velocity $$v_1$$ for time $$t_1$$ and $$v_2$$ for time $$t_2$$ along a straight line. The magnitude of its average acceleration is:
1. $\frac{{v}_{2}-{v}_{1}}{{t}_{1}-{t}_{2}}$
2. $\frac{{v}_{2}-{v}_{1}}{{t}_{1}+{t}_{2}}$
3. $\frac{{v}_{2}-{v}_{1}}{{t}_{2}-{t}_{1}}$
4. $\frac{{v}_{1}+{v}_{2}}{{t}_{1}-{t}_{2}}$

Subtopic:  Acceleration |
55%
From NCERT
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