A packet is dropped from a balloon which is going upwards with the velocity 12 m/s, the velocity of the packet after 2 seconds will be 

(1) –12 m/s

(2) 12 m/s

(3) –7.6 m/s

(4) 7.6 m/s

Subtopic:  Uniformly Accelerated Motion |
 70%
From NCERT
PMT - 2004
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If a freely falling body travels in the last second a distance equal to the distance travelled by it in the first three seconds, the time of the travel is:
1. \(6\) sec
2. \(5\) sec
3. \(4\) sec
4. \(3\) sec

Subtopic:  Uniformly Accelerated Motion |
 68%
From NCERT
PMT - 2004
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The effective acceleration of a body, when thrown upwards with acceleration a will be: 

1. ag2

2. a2+g2

3. (ag)

4. (a+g)

Subtopic:  Uniformly Accelerated Motion |
 61%
From NCERT
PMT - 2004
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A body is thrown vertically upwards with velocity \(u.\) The distance travelled by it in the fifth and the sixth seconds are equal. The velocity \(u\) is given by (\(g = 9.8~\text{m/s}^2\)

1. \(24.5~\text{m/s}\)
2. \(49.0~\text{m/s}\)
3. \(73.5~\text{m/s}\)
4. \(98.0~\text{m/s}\)

Subtopic:  Uniformly Accelerated Motion |
 74%
From NCERT
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A parachutist after bailing out falls \(50~\text{m}\) without friction. When parachute opens, it decelerates at \(2~\text{m/s}^2\). He reaches the ground with a speed of \(3~\text{m/s}\). At what height, did he bail out ?
1. \(293~\text{m}\)
2. \(111~\text{m}\)
3. \(91~\text{m}\)
4. \(182~\text{m}\)

Subtopic:  Uniformly Accelerated Motion |
 57%
From NCERT
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When a ball is thrown up vertically with velocity v0, it reaches a maximum height of 'h'. If one wishes to triple the maximum height then the ball should be thrown with velocity

1. 3vo

2. 3v0

3. 9v0

4. (3/2)v0

Subtopic:  Uniformly Accelerated Motion |
 77%
From NCERT
AIIMS - 2005
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A particle moving in a straight line covers half the distance with a speed of \(3~\text{m/s}\). The other half of the distance is covered in two equal time intervals with speeds of \(4.5~\text{m/s}\) and \(7.5~\text{m/s}\) respectively. The average speed of the particle during this motion is:

1. \(4.0~\text{m/s}\) 2. \(5.0~\text{m/s}\)
3. \(5.5~\text{m/s}\) 4. \(4.8~\text{m/s}\)
Subtopic:  Average Speed & Average Velocity |
 70%
From NCERT
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The acceleration of a particle is increasing linearly with time t as bt. The particle starts from the origin with an initial velocity of v0. The distance travelled by the particle in time t will be:

(1) v0t+13bt2

(2) v0t+13bt3

(3) v0t+16bt3

(4) v0t+12bt2

Subtopic:  Non Uniform Acceleration |
 63%
From NCERT
PMT - 1995
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A particle starts from rest. Its acceleration \((a)\) versus time \((t)\) is as shown in the figure. The maximum speed of the particle will be: 

             
1. \(110~\text{m/s}\)
2. \(55~\text{m/s}\)
3\(550~\text{m/s}\)
4. \(660~\text{m/s}\)

Subtopic:  Graphs |
 73%
From NCERT
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A car accelerates from rest at a constant rate α for some time, after which it decelerates at a constant rate β and comes to rest. If the total time elapsed is t, then the maximum velocity acquired by the car is

1.  α2+β2αβt
2.  α2β2αβt
3.  (α+β)tαβ
4.  αβtα+β

Subtopic:  Uniformly Accelerated Motion |
 70%
From NCERT
PMT - 1994
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