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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A stone dropped from a building of height \(h\) and reaches the earth after \(t\) seconds. From the same building, if two stones are thrown (one upwards and other downwards) with the same velocity \(u\) and they reach the earth surface after \(t_1\) and \(t_2\) seconds respectively, then: 

1. t=t1t2

2. t=t1+t22

3. t=t1t2

4. t=t12t22 

Subtopic:  Uniformly Accelerated Motion |
 78%
From NCERT
PMT - 1997
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A ball is projected upwards from a height h above the surface of the earth with velocity v. The time at which the ball strikes the ground is

(1) vg+2hg2

(2) vg11+2hg

(3) vg1+1+2ghv2

(4) vg1+v2+2gh

Subtopic:  Uniformly Accelerated Motion |
 60%
From NCERT
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A particle is dropped vertically from rest from a height. The time taken by it to fall through successive distances of \(1~\text{m}\) each will then be:

1. All equal, being equal to \(\sqrt{2 / g} \) s. 
2. In the ratio of the square roots of the integers \(1,2,3....\)
3. In the ratio of the difference in the square roots of the integers \(\sqrt{1}\)\((\sqrt{2}-\sqrt{1})\),\((\sqrt{3}-\sqrt{2})\),\((\sqrt{4}-\sqrt{3})\) \( \ldots\)
4. In the ratio of the reciprocal of the square roots of the integers i.e,... \(\frac{1}{\sqrt{1}}\)\(\frac{1}{\sqrt{2}}\)\(\frac{1}{\sqrt{3}}\),\(\frac{1}{\sqrt{4}} \)
Subtopic:  Uniformly Accelerated Motion |
 82%
From NCERT
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A man throws balls with the same speed vertically upwards one after the other at an interval of 2 seconds. What should be the speed of the throw so that more than two balls are in the sky at any time (Given g=9.8m/s2)

(1) At least 0.8 m/s

(2) Any speed less than 19.6 m/s

(3) Only with speed 19.6 m/s

(4) More than 19.6 m/s

Subtopic:  Acceleration |
 68%
From NCERT
PMT - 2003
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If a ball is thrown vertically upwards with speed u, the distance covered during the last t seconds of its ascent is 

(1) 12gt2

(2) ut12gt2

(3) (ugt)t

(4) ut

Subtopic:  Uniformly Accelerated Motion |
 59%
From NCERT
PMT - 2003
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