# 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 $\mathrm{g}=10$ $\mathrm{m}/{\mathrm{s}}^{2}\right)$ 1. $$340$$ m 2. $$320$$ m 3. $$300$$ m 4. $$360$$ m

Subtopic:  Uniformly Accelerated Motion |
82%
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 ${t}_{1}$ if the elevator is moving uniformly and time ${t}_{2}$ if the elevator is stationary. Then:

 1 $$t_1t_2$$ depending upon whether the lift is going up or down. 2 $$t_1t_2$$ 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. $\frac{{v}_{1}+{v}_{2}}{2}$

2. $\frac{{v}_{1}{v}_{2}}{{v}_{1}+{v}_{2}}$

3. $\frac{2{v}_{1}{v}_{2}}{{v}_{1}+{v}_{2}}$

4. $\frac{{v}_{1}^{2}{v}_{2}^{2}}{{v}_{1}^{2}+{v}_{2}^{2}}$

Subtopic:  Average Speed & Average Velocity |
89%
From NCERT
AIPMT - 2011
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The motion of a particle is given by the equation $S=\left(3{t}^{3}+7{t}^{2}+14t+8\right)m,$ The value of the acceleration of the particle at t = 1 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 $$x = ae^{-\alpha t}+ be^{\beta t}$$$\mathrm{}$
, 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 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 $t$ $=$ $\sqrt{x}$ $+$ $3$ . 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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