A boy standing at the top of a tower of \(20\) m height drops a stone. Assuming \(g=10\) m/s2, the velocity with which it hits the ground will be:
1. \(20\) m/s                                         
2. \(40\) m/s
3. \(5\) m/s                                           
4. \(10\) m/s

Subtopic:  Uniformly Accelerated Motion |
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If a body is thrown up with the velocity of \(15\) m/s, then the maximum height attained by the body is: (assume \(g = 10\) m/s2
1. \(11.25\) m
2. \(16.2\) m
3. \(24.5\) m
4. \(7.62\) m

Subtopic:  Uniformly Accelerated Motion |
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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 |
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A particle is thrown vertically upward. Its velocity at half of the height is \(10\) m/s, then the maximum height attained by it is: (\(g=10\) m/s2)
1. \(8\) m 2. \(20\) m
3. \(10\) m 4. \(16\) m
Subtopic:  Uniformly Accelerated Motion |
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A body is thrown upwards and reaches its maximum height. At that position:

1. its velocity is zero and its acceleration is also zero.
2. its velocity is zero but its acceleration is maximum.
3. its acceleration is minimum.
4. its velocity is zero and its acceleration is the acceleration due to gravity.
Subtopic:  Uniformly Accelerated Motion |
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A stone falls freely under gravity. It covers distances \(h_1,~h_2\) and \(h_3\) in the first \(5\) seconds, the next \(5\) seconds and the next \(5\) seconds respectively. The relation between \(h_1,~h_2\) and \(h_3\) is:

1. \(h_1=\frac{h_2}{3}=\frac{h_3}{5}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \)
2. \(h_2=3h_1\) and \(h_3=3h_2\)
3. \(h_1=h_2=h_3\)
4. \(h_1=2h_2=3h_3\)
Subtopic:  Uniformly Accelerated Motion |
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A ball is thrown vertically downwards with a velocity of \(20\) m/s from the top of a tower. It hits the ground after some time with the velocity of \(80\) m/s . The height of the tower is: (assuming \(g = 10~\text{m/s}^2)\)

1. \(340\) m 2. \(320\) m
3. \(300\) m 4. \(360\) m
Subtopic:  Uniformly Accelerated Motion |
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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 |
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A body is thrown vertically up from the ground. It reaches a maximum height of \(100\) m in \(5\) s. After what time will it reach the ground from the position of maximum height?

1. \(1.2\) s 2. \(5\) s
3. \(10\) s 4. \(25\) s
Subtopic:  Uniformly Accelerated Motion |
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A car travelling at a speed of \(30\) km/h is brought to rest at a distance of \(8\) m by applying brakes. If the same car is moving at a speed of \(60\) km/h, then it can be brought to rest with the same brakes in:
1. \(64\) m
2. \(32\) m
3. \(16\) m
4. \(4\) m

Subtopic:  Uniformly Accelerated Motion |
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