A balloon rises from rest with a constant acceleration g/8. A stone is released from it when it has risen to height h. The time taken by the stone to reach the ground is

(1) 4hg

(2) 2hg

(3) 2hg

(4) gh 

Subtopic:  Uniformly Accelerated Motion |
From NCERT
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Two bodies are thrown simultaneously from a tower with same initial velocity v0 : one vertically upwards, the other vertically downwards. The distance between the two bodies after time t is

(1) 2v0t+12gt2

(2) 2v0t

(3) v0t+12gt2

(4) v0t

Subtopic:  Relative Motion in One Dimension |
 63%
From NCERT
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A body falls freely from the top of a tower. It covers 36% of the total height in the last second before striking the ground level. The height of the tower is:

(1) 50 m

(2) 75 m

(3) 100 m

(4) 125 m

Subtopic:  Uniformly Accelerated Motion |
 63%
From NCERT
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A particle is projected upwards. The times corresponding to height h while ascending and while descending are t1 and t2 respectively. The velocity of projection will be:

1. gt1

2. gt2

3. g (t1+t2)

4. g(t1+t2)2

Subtopic:  Uniformly Accelerated Motion |
 69%
From NCERT
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A projectile is fired vertically upwards with an initial velocity u. After an interval of T seconds a second projectile is fired vertically upwards, also with initial velocity u.

(1) They meet at time t=ug and at a height u22g+gT28

(2) They meet at time t=ug+T2 and at a height u22g+gT28

(3) They meet at time t=ug+T2 and at a height u22ggT28

(4) They never meet

Subtopic:  Uniformly Accelerated Motion | Relative Motion in One Dimension |
From NCERT
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Two cars are moving in the same direction with the same speed 30 km/hr. They are separated by a distance of 5 km. The speed of a car moving in the opposite direction, if it meets these two cars at an interval of 4 minutes, will be

1. 40 km/hr

2. 45 km/hr

3. 30 km/hr

4. 15 km/hr

Subtopic:  Relative Motion in One Dimension |
 73%
From NCERT
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A 150 m long train is moving to north at a speed of 10 m/s. A parrot flying towards south with a speed of 5 m/s crosses the train. The time taken by the parrot the cross to train would be: 

(1) 30 s

(2) 15 s

(3) 8 s

(4) 10 s

Subtopic:  Relative Motion in One Dimension |
 82%
From NCERT
PMT - 1992
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A moves with 65 km/h while B is coming back of A with 80 km/h. The relative velocity of B with respect to A is 

1. 80 km/h

2. 60 km/h

3. 15 km/h

4.145 km/h

Subtopic:  Relative Motion in One Dimension |
From NCERT
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Two trains along the same straight rails moving with constant speed 60 km/hr and 30 km/hr respectively towards each other. If at time t = 0, the distance between them is 90 km, the time when they collide is:

1. 1 hr

2. 2 hr

3. 3 hr

4. 4 hr

Subtopic:  Relative Motion in One Dimension |
 79%
From NCERT
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A bus is moving with a velocity 10 m/s on a straight road. A scooterist wishes to overtake the bus in 100 s. If the bus is at a distance of 1 km from the scooterist, with what velocity should the scooterist chase the bus

(1) 50 m/s

(2) 40 m/s

(3) 30 m/s

(4) 20 m/s

Subtopic:  Relative Motion in One Dimension |
 86%
From NCERT
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