A student is standing at a distance of 50 metres from the bus. As soon as the bus begins its motion with an acceleration of 1ms–2, the student starts running towards the bus with a uniform velocity u. Assuming the motion to be along a straight road, the minimum value of u, so that the student is able to catch the bus is 

1. 5 ms–1

2. 8 ms–1

3. 10 ms–1

4. 12 ms–1

Subtopic:  Relative Motion in One Dimension |
 75%
From NCERT
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A body A moves with a uniform acceleration a and zero initial velocity. Another body B, starts from the same point moves in the same direction with a constant velocity v. The two bodies meet after a time t. The value of t is 

1. 2va

2. va

3. v2a

4. v2a 

Subtopic:  Uniformly Accelerated Motion |
 64%
From NCERT
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A particle moves along X-axis in such a way that its coordinate X varies with time t according to the equation x=(25t+6t2)m. The initial velocity of the particle is 

(1) –5 m/s

(2) 6 m/s

(3) –3 m/s

(4) 3 m/

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 90%
From NCERT
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A man is 45 m behind the bus when the bus starts accelerating from rest with acceleration of 2.5 m/s2. With what minimum velocity should the man start running to catch the bus? 

1. 12 m/s

2. 14 m/s

3. 15 m/s

4. 16 m/s

Subtopic:  Relative Motion in One Dimension |
 80%
From NCERT
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A ball is dropped on the floor from a height of 10 m. It rebounds to a height of 2.5 m. If the ball is in contact with the floor for 0.01 sec, the average acceleration during contact is 

(1) 2100 m/sec2 downwards

(2) 2100 m/sec2 upwards

(3) 1400 m/sec2

(4) 700 m/sec2

Subtopic:  Acceleration |
 54%
From NCERT
PMT - 1997
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A ball of mass m1 and another ball of mass m2 are dropped from equal height. If time taken by the balls are t1 and t2 respectively, then 

1. t1=t22

2. t1=t2

3. t1=4t2

4. t1=t24 

Subtopic:  Uniformly Accelerated Motion |
 91%
From NCERT
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Velocity of a body on reaching the point from which it was projected upwards, is 

1. v=0

2. v=2u

3. v=0.5u

4. v=-u

Subtopic:  Uniformly Accelerated Motion |
 71%
From NCERT
AIIMS - 1999
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From the top of a tower, a particle is thrown vertically downwards with a velocity of 10 m/s. The ratio of the distances, covered by it in the 3rd and 2nd seconds of the motion is (Take g=10m/s2

1. 5 : 7  

2. 7 : 5

3. 3 : 6

4. 6 : 3

Subtopic:  Uniformly Accelerated Motion |
 82%
AIIMS - 2000
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When a ball is thrown up vertically with velocity V0, it reaches a maximum height of 'h'. If one wishes to triple the maximum height then the ball should be thrown with velocity

1. 3Vo

2. 3 V0

3. 9 V0

4. 3/2 V0

Subtopic:  Uniformly Accelerated Motion |
 79%
From NCERT
AIIMS - 2005
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A particle starts from rest. Its acceleration (a) versus time (t) graph is as shown in the figure. The maximum speed of the particle will be:

1. 110 m/s

2. 55 m/s

3. 550 m/s

4. 660 m/s 

Subtopic:  Graphs |
 73%
From NCERT
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