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The position of a particle moving in the XY plane at any time t is given by x=(3t26t) metres. Select the correct statement about the moving particle from the following.

1. The acceleration of the particle is zero at t = 0 second
2. The velocity of the particle is zero at t = 0 second
3. The velocity of the particle is zero at t = 1 second
4. The velocity and acceleration of the particle are never zero

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 72%
From NCERT
PMT - 1995
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If body having initial velocity zero is moving with uniform acceleration 8 m/sec2 , then the distance travelled by it in fifth second will be  

1. 36 metres

2. 40 metres

3. 100 metres

4. Zero

Subtopic:  Acceleration |
 84%
From NCERT
PMT - 1996
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An alpha particle enters a hollow tube of 4 m length with an initial speed of 1 km/s. It is accelerated in the tube and comes out of it with a speed of 9 km/s. The time for which it remains inside the tube is

1. 8×103 s

2. 80×103s

3. 800×103s

4. 8×104s

Subtopic:  Uniformly Accelerated Motion |
 59%
From NCERT
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Two cars A and B are travelling in the same direction with velocities v1 and v2(v1>v2). When the car A is at a distance d behind car B, the driver of the car A applied the brake producing uniform retardation a. There will be no collision when:
1. d<(v1v2)22a

2. d<v21v222a

3. d>(v1v2)22a

4. d>v21v222a

Subtopic:  Relative Motion in One Dimension |
 55%
From NCERT
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A body of mass 10 kg is moving with a constant velocity of 10 m/s. When a constant force acts for 4 seconds on it, it moves with a velocity 2 m/sec in the opposite direction. The acceleration produced in it is 

1. 3 m/sec2

2. –3 m/sec2

3. 0.3 m/sec2

4. –0.3 m/sec2

Subtopic:  Acceleration |
 77%
From NCERT
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A body starts from rest from the origin with an acceleration of 6 m/s2 along the x-axis and 8 m/s2 along the y-axis. Its distance from the origin after 4 seconds will be:
1. 56 m
2. 64 m
3. 80 m
4. 128 m

Subtopic:  Uniformly Accelerated Motion |
 75%
From NCERT
PMT - 1999
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A car moving with a velocity of 10 m/s can be stopped by the application of a constant force F in a distance of 20 m. If the velocity of the car is 30 m/s, it can be stopped by this force in 

1. 203m

2. 20 m

3. 60 m

4. 180 m

Subtopic:  Uniformly Accelerated Motion |
 73%
From NCERT
PMT - 1999
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The displacement of a particle is given by y=a+bt+ct2dt4. The initial velocity and acceleration are, respectively:

1. b,4d 2. b,2c
3. b, 2c 4. 2c,2d
Subtopic:  Non Uniform Acceleration |
 82%
From NCERT
PMT - 1999
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A car moving with a speed of 40 km/h can be stopped by applying brakes for atleast 2 m. If the same car is moving with a speed of 80 km/h, what is the minimum stopping distance ?

1. 8 m

2. 2 m

3. 4 m

4. 6 m

Subtopic:  Uniformly Accelerated Motion |
 76%
From NCERT
PMT - 1998
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An elevator car, whose floor to ceiling distance is equal to 2.7 m, starts ascending with constant acceleration of 1.2 ms2. 2 sec after the start, a bolt begins falling from the ceiling of the car. The free fall time of the bolt is: 
1. 0.54 s
2. 6 s
3. 0.7 s
4. 1 s

Subtopic:  Relative Motion in One Dimension |
From NCERT
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