Speed of two identical cars are u and 4u at a specific instant. The ratio of the respective distances in which the two cars are stopped from that instant is:

(1) 1 : 1

(2) 1 : 4

(3) 1 : 8

(4) 1 : 16

Subtopic:  Acceleration |
 78%
From NCERT
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A body is moving with uniform acceleration describes 40 m in the first 5 sec and 65 m in the next 5 sec. Its initial velocity will be:

(1) 4 m/s

(2) 2.5 m/s

(3) 5.5 m/s

(4) 11 m/s 

Subtopic:  Uniformly Accelerated Motion |
 69%
From NCERT
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The displacement x of a particle varies with time t, x=aeαt+beβt, where a,b,α and β are positive constants. The velocity of the particle will 

1. Go on decreasing with time
2. Be independent of α and β
3. Drop to zero when α = β
4. Go on increasing with time

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 53%
From NCERT
PMT - 2005
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A car, starting from rest, accelerates at the rate f through a distance S, then continues at a constant speed for time t and then decelerates at the rate f2 to come to rest. If the total distance traversed is 15 S, then, 

(1) S=12ft2

(2) S=14ft2

(3) S=172ft2  

(4) S=16ft2 

Subtopic:  Acceleration |
 54%
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 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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