# 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%
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On a long horizontally moving belt (as shown in the figure) a child runs to and fro with a speed  (with respect to the belt) between his father and mother located 50 m apart on the moving belt. The belt moves with a speed of . For an observer on a stationary platform outside, what is the speed of the child running in the direction of motion of the belt?

1. 5 kmh-1
2. $$\sqrt{41}$$ kmh-1
3. 21 kmh-1
4. 13 kmh-1

Subtopic:  Relative Motion in One Dimension |
59%
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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%
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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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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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A police van moving on a highway with a speed of  fires a bullet at a thief’s car speeding away in the same direction with a speed of . If the muzzle speed of the bullet is  with what speed does the bullet hit the thief’s car?

Subtopic:  Relative Motion in One Dimension |
69%
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The instantaneous speed is always:

 1 less than the magnitude of instantaneous velocity. 2 greater than the magnitude of instantaneous velocity. 3 equal to the magnitude of instantaneous velocity. 4 may be less or greater than the magnitude of instantaneous velocity.

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
61%
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A man walks on a straight road from his home to a market $$2.5$$ km away with a speed of $$5$$ km/h. Finding the market closed, he instantly turns and walks back home with a speed of $$7.5$$ km/h. What is the magnitude of the average velocity of the man over the interval of time $$0$$ to $$30$$ min?

 1 $$6$$ km/h 2 $$5$$ km/h 3 $$5.6$$ km/h 4 $$6.6$$ km/h
Subtopic:  Average Speed & Average Velocity |
62%
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A particle in one-dimensional motion:

 1 with zero speed at an instant may have non-zero acceleration at that instant. 2 with zero speed may have non-zero velocity. 3 with constant speed, must have non-zero acceleration. 4 with a positive value of acceleration must be speeding up.

Subtopic:  Acceleration |
53%
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A player throws a ball upwards with an initial speed of $$29.4 \text{ ms}^{- 1}$$. What is the direction of acceleration during the upward motion of the ball?

 1 vertically downwards 2 vertically upwards 3 first upwards then downwards 4 none of the above
Subtopic:  Uniformly Accelerated Motion |
75%
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