A particle moves along the x-axis as x=4(t2)+a(t2)2. Which of the following is true? 

1. The initial velocity of the particle is 4

2. The acceleration of the particle is 2a

3. The particle is at the origin at t = 0

4. None of these

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 67%
From NCERT
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A body starting from rest moves with constant acceleration. The ratio of distance covered by the body during the 5th sec to that covered in 5 sec is 

1. 9/25

2. 3/5

3. 25/9

4. 1/25

Subtopic:  Uniformly Accelerated Motion |
 85%
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Two trains, each \(50\) m long, are travelling in the opposite direction with velocities \(10\) m/s and \(15\) m/s. The time of crossing is:
1. \(10\) sec
2. \(4\) sec
3. \(2\sqrt{3}\) sec
4. \(4\sqrt{3}\) sec

Subtopic:  Relative Motion in One Dimension |
 79%
From NCERT
PMT - 1999
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A 120 m long train is moving in a direction with speed 20 m/s. A train B moving with 30 m/s in the opposite direction and 130 m long crosses the first train in a time  

1.  4 s
2.  36 s
3.  38 s
4.  5 s

Subtopic:  Relative Motion in One Dimension |
 87%
From NCERT
PMT - 1996
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A 210-meter long train is moving due north at a speed of 25 m/s. A small bird is flying due South a little above the train with a speed of 5m/s. The time taken by the bird to cross the train is 

1. 6 s

2. 7 s

3. 9 s

4. 10 s

Subtopic:  Relative Motion in One Dimension |
 88%
From NCERT
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A police jeep is chasing with a velocity of 45 km/h a thief in another jeep moving with a velocity of 153 km/h. Police fire a bullet with a muzzle velocity of 180 m/s. The velocity with which it will strike the car of the thief is 

1.  150 m/s
2.  27 m/s
3.  450 m/s
4.  250 m/s

Subtopic:  Relative Motion in One Dimension |
 68%
From NCERT
PMT - 2004
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A train of 150 meter length is going towards north direction at a speed of 10 m/sec. A parrot flies at the speed of 5 m/sec towards south direction parallel to the railway track. The time taken by the parrot to cross the train is 

1. 12 sec

2. 8 sec

3. 15 sec

4. 10 sec

Subtopic:  Relative Motion in One Dimension |
 89%
From NCERT
PMT - 1992
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A boat is moving with velocity of 3i^+4j^ in river and water is moving with a velocity of 3i^4j^ with respect to ground. Relative velocity of boat with respect to water is: 

1. 6i^8j^

2. 6i^+8j^

3. 8j^

4. 6i^

Subtopic:  Relative Motion |
 82%
From NCERT
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The distance between two particles is decreasing at the rate of \(6\) m/sec when they are moving in the opposite directions. If these particles travel with the same initial speeds and in the same direction, then the separation increases at the rate of \(4\) m/sec. It can be concluded that particles' speeds could be:
1. \(5\) m/sec, \(1\) m/sec
2. \(4\) m/sec, \(1\) m/sec
3. \(4\) m/sec, \(2\) m/sec
4. \(5\) m/sec, \(2\) m/sec

Subtopic:  Relative Motion in One Dimension |
 76%
From NCERT
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An express train is moving with a velocity v1. Its driver finds another train is moving on the same track in the same direction with velocity v2. To escape collision, driver applies a retardation 'a' on the train. The minimum time of escaping collision will be 

1.  t=v1v2a
2.  t1=v12v222
3.  None
4.  Both

Subtopic:  Relative Motion in One Dimension |
 70%
From NCERT
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