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 |
 83%
From NCERT
NEET - 2020
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A person sitting on the ground floor of a building notices through the window, of height \(1.5~\text{m}\), a ball dropped from the roof of the building crosses the window in \(0.1~\text{s}\). What is the velocity of the ball when it is at the topmost point of the window? \(\left(g = 10~\text{m/s}^2\right )\)

1. \(15.5~\text{m/s}\) 2. \(14.5~\text{m/s}\)
3. \(4.5~\text{m/s}\)  4. \(20~\text{m/s}\)
Subtopic:  Uniformly Accelerated Motion |
 63%
From NCERT
NEET - 2020
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A person travelling in a straight line moves with a constant velocity \(v_1\) for a certain distance \(x\) and with a constant velocity \(v_2\) for the next equal distance. The average velocity \(v\) is given by the relation:

1. \(\frac{1}{v} = \frac{1}{v_1}+\frac{1}{v_2}\) 2. \(\frac{2}{v} = \frac{1}{v_1}+\frac{1}{v_2}\)
3. \(\frac{v}{2} = \frac{v_1+v_2}{2}\) 4. \(v = \sqrt{v_1v_2}\)

Subtopic:  Average Speed & Average Velocity |
 77%
From NCERT
NEET - 2019
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A person standing on the floor of an elevator drops a coin. The coin reaches the floor in time t1 if the elevator is moving uniformly and time t2 if the elevator is stationary. Then:

1. \(t_1<t_2 \) or \(t_1>t_2 \) depending upon whether the lift is going up or down.
2. \(t_1<t_2 \)
3. \(t_1>t_2 \)
4. \(t_1=t_2 \)

Subtopic:  Relative Motion in One Dimension |
 52%
From NCERT
NEET - 2019
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A particle covers half of its total distance with speed ν1 and the rest half distance with speed ν2.
Its average speed during the complete journey is:

1. v1+v22

2. v1v2v1+v2

3. 2v1v2v1+v2

4. v12v22v12+v22

Subtopic:  Average Speed & Average Velocity |
 89%
From NCERT
AIPMT - 2011
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The motion of a particle is given by the equation \(S = \left(3 t^{3} + 7 t^{2} + 14 t + 8 \right) \text{m} ,\) The value of the acceleration of the particle at \(t=1~\text{s}\) is:

1. \(10\) m/s2 2. \(32\) m/s2
3. \(23\) m/s2 4. \(16\) m/s2
Subtopic:  Acceleration |
 93%
From NCERT
AIPMT - 2000
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The displacement \(x\) of a particle varies with time \(t\) as \(x = ae^{-\alpha t}+ be^{\beta t}\), where \(a,\) \(b,\) \(\alpha,\) and \(\beta\) are positive constants. The velocity of the particle will:

1. be independent of \(\alpha\) and \(\beta.\)
2. go on increasing with time.
3. drop to zero when \(\alpha=\beta.\)
4. go on decreasing with time.
Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 52%
From NCERT
AIPMT - 2005
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A car is moving with velocity v. It stops after applying breaks at a distance of 20 m. If the velocity of the car is doubled, then how much distance it will cover (travel) after applying breaks?
1.  40 m
2.  80 m
3.  160 m
4.  320 m

Subtopic:  Uniformly Accelerated Motion |
 80%
From NCERT
AIPMT - 1998
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A body starts falling from height \(h\) and if it travels a distance of \(\frac{h}{2}\) during the last second of motion, then the time of flight is (in seconds):
1. \(\sqrt{2}-1\)
2. \(2+\sqrt{2}\)
3. \(\sqrt{2}+\sqrt{3}\)
4. \(\sqrt{3}+2\)

Subtopic:  Uniformly Accelerated Motion |
From NCERT
AIPMT - 1999
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For a particle, displacement time relation is given by t = x + 3 . Its displacement, when its velocity is zero will be:
1. \(2\) m
2. \(4\) m
3. \(0\)
4. none of the above

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 81%
From NCERT
AIPMT - 1999
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