# A jet airplane travelling at the speed of $$500~\text{km/h}$$ ejects its products of combustion at the speed of $$1500~\text{km/h}$$ relative to the jet plane. What is the speed of the latter with respect to an observer on the ground? 1. $$1000~\text{km/h}$$ 2. $$500~\text{km/h}$$ 3. $$1500~\text{km/h}$$ 4. $$2000~\text{km/h}$$

Subtopic:  Relative Motion in One Dimension |
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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 |
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Two trains A and B of length $$400$$ m each are moving on two parallel tracks with a uniform speed of $$72$$ km/h in the same direction with A ahead of B. The driver of B decides to overtake A and accelerates by $$1$$ m/s2If after $$50$$ s, the guard of B just brushes past the driver of A, what was the original distance between them?
1. $$2000$$ m
2. $$2250$$ m
3. $$1200$$ m
4. $$1250$$
m

Subtopic:  Uniformly Accelerated Motion |
53%
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On a two-lane road, car $$A$$ is travelling at a speed of $$36$$ kmh–1. Two cars $$B$$ and $$C$$ approach car $$A$$ in opposite directions with a speed of $$54$$ kmh–1 each. At a certain instant, when the distance $$AB$$ is equal to $$AC$$, both being $$1$$ km, $$B$$ decides to overtake $$A$$ before $$C$$ does. What minimum acceleration of car $$B$$ is required to avoid an accident?
1. $$1$$ ms–2
2. $$5$$ ms–2
3. $$2$$ ms–2
4. $$3$$ ms–2

Subtopic:  Uniformly Accelerated Motion |
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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 |
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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 |
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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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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 |
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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 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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