Water drops fall at regular intervals from a tap which is 5 m above the ground. The third drop is leaving the tap at the instant the first drop touches the ground. How far above the ground is the second drop at that instant  

1. 2.50 m

2. 3.75 m

3. 4.00 m

4. 1.25 m

Subtopic:  Uniformly Accelerated Motion |
 72%
From NCERT
PMT - 1995
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A ball is thrown vertically upwards from the top of a tower at 4.9  ms1. It strikes the pond near the base of the tower after 3 seconds. The height of the tower is:

(1) 73.5 m

(2) 44.1 m

(3) 29.4 m

(4) None of these

Subtopic:  Uniformly Accelerated Motion |
 64%
From NCERT
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A rocket is fired upward from the earth's surface such that it creates an acceleration of 19.6 m/sec2. If after 5 sec its engine is switched off, the maximum height of the rocket from earth's surface would be [MP PET 1995]

(1) 245 m

(2) 490 m

(3) 980 m

(4) 735 m

Subtopic:  Uniformly Accelerated Motion |
From NCERT
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A body starts to fall freely under gravity. The distances covered by it in the first, second and third second will be in the ratio: 

1. \(1:3:5\) 2. \(1:2:3\)
3. \(1:4:9\) 4. \(1:5:6\)
Subtopic:  Uniformly Accelerated Motion |
 87%
From NCERT
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P, Q and R are three balloons ascending with velocities U, 4U and 8U respectively. If stones of the same mass be dropped from each, when they are at the same height, then 

(1) They reach the ground at the same time

(2) Stone from P reaches the ground first

(3) Stone from R reaches the ground first

(4) Stone from Q reaches the ground first

Subtopic:  Uniformly Accelerated Motion |
 50%
From NCERT
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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 \(\frac{H}{2}\) in \(\frac{T}{2}\) sec
2. It acquires velocity \(\frac{u}{2}\) in \(\frac{T}{2}\)
3. Its velocity is \(\frac{u}{2}\) at \(\frac{H}{2}\)
4. Same velocity at \(2T\)
Subtopic:  Uniformly Accelerated Motion |
From NCERT
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A body falling for 2 seconds covers a distance S equal to that covered in next second. Taking g=10m/s2,S=

(1) 30 m

(2) 10 m

(3) 60 m

(4) 20 m

Subtopic:  Uniformly Accelerated Motion |
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A body dropped from a height h with an initial speed of zero, strikes the ground with a velocity 3km/h. Another body of the same mass is dropped from the same height h with an initial speed u'=4km/h. Find the final velocity of the second body with which it strikes the ground.

(1) 3 km/h

(2) 4 km/h

(3) 5 km/h

(4) 12 km/h

Subtopic:  Uniformly Accelerated Motion |
 75%
From NCERT
PMT - 1996
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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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With what velocity a ball be projected vertically so that the distance covered by it in 5th second is twice the distance it covers in its 6th second (g=10m/s2) 

(1) 58.8 m/s

(2) 49 m/s

(3) 65 m/s

(4) 19.6 m/s

Subtopic:  Uniformly Accelerated Motion |
 72%
From NCERT
PMT - 1997
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