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 |
 77%
From NCERT
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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 |
 55%
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 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 |
 86%
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%
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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 |
 75%
From NCERT
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A man in a balloon rising vertically with an acceleration of 4.9m/sec2 releases a ball 2 sec after the balloon is let go from the ground. The greatest height above the ground reached by the ball is (g=9.8m/sec2)  

(1) 14.7 m

(2) 19.6 m

(3) 9.8 m

(4) 24.5 m

Subtopic:  Uniformly Accelerated Motion |
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A body is projected up with a speed ‘u’ and the time taken by it is T to reach the maximum height H. Pick out the correct statement.

(1) It reaches H/2 in T/2 sec

(2) It acquires velocity u/2 in T/2

(3) Its velocity is u/2 at H/2

(4) Same velocity at 2T

Subtopic:  Uniformly Accelerated Motion |
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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%
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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 |
 72%
From NCERT
AIIMS - 1999
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