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 |
 55%
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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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%
From NCERT
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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 |
 75%
From NCERT
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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 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%
From NCERT
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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%
From NCERT
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A police van moving on a highway with a speed of 30 km h-1 fires a bullet at a thief’s car speeding away in the same direction with a speed of 192 km h-1. If the muzzle speed of the bullet is 150 m s-1, with what speed does the bullet hit the thief’s car? 

1 103 m s-1
2 105 m s-1
3 101 m s-1
4 102 m s-1

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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