# A stone is thrown vertically downwards with an initial velocity of $$40$$ m/s from the top of a building. If it reaches the ground with a velocity of $$60$$ m/s, then the height of the building is: (Take $$g=10$$ m/s2) 1. $$120$$ m 2. $$140$$ m 3. $$80$$ m 4. $$100$$ m

Subtopic:  Uniformly Accelerated Motion |
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From NCERT
NEET - 2022
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The figure given below shows the displacement and time, $$(x\text -t)$$ graph of a particle moving along a straight line:

The correct statement, about the motion of the particle, is:

 1 the particle moves at a constant velocity up to a time $$t_0$$ and then stops. 2 the particle is accelerated throughout its motion. 3 the particle is accelerated continuously for time $$t_0$$ then moves with constant velocity. 4 the particle is at rest.

Subtopic:  Graphs |
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From NCERT
NEET - 2022
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The position-time $$(x\text-t)$$ graph for positive acceleration is:
 1 2 3 4
Subtopic:  Graphs |
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From NCERT
NEET - 2022
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The ratio of the distances travelled by a freely falling body in the $$1$$st, $$2$$nd, $$3$$rd and $$4$$th second is:
1. $$1:1:1:1$$
2. $$1:2:3:4$$
3. $$1:4:9:16$$
4. $$1:3:5:7$$
Subtopic:  Uniformly Accelerated Motion |
80%
From NCERT
NEET - 2022
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The displacement-time $$(s\text-t)$$ graphs of two moving particles $$A~\text{and}~B$$ make angles of $$30^\circ$$ and $$45^\circ$$ with the $$x\text-$$axis as shown in the figure. The ratio of their respective velocity $$\left(\frac{v_A}{v_B}\right)$$ is:

 1 $$1: \sqrt{3}$$ 2 $$\sqrt{3}: 1$$ 3 $$1:1$$ 4 $$1:2$$
Subtopic:  Graphs |
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From NCERT
NEET - 2022
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A vehicle travels half the distance with speed $$v$$ and the remaining distance with speed $$2v$$. Its average speed is:
1. $$\frac{3v}{4}$$
2. $$\frac{v}{3}$$
3. $$\frac{2v}{3}$$
4. $$\frac{4v}{3}$$
Subtopic:  Average Speed & Average Velocity |
65%
From NCERT
NEET - 2023
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A horizontal bridge is built across a river. A student standing on the bridge throws a small ball vertically upwards with a velocity $$4$$ ms–1. The ball strikes the water surface after $$4$$ s. The height of bridge above water surface is: (Take $$g=10~ \text {ms}^{-2}$$ )
1. $$68$$ m
2. $$56$$ m
3. $$60$$ m
4. $$64$$ m
Subtopic:  Uniformly Accelerated Motion |
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From NCERT
NEET - 2023
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A small block slides down on a smooth inclined plane starting from rest at time $$t=0.$$ Let $$S_n$$ be the distance traveled by the block in the interval $$t=n-1$$ to $$t=n.$$ Then the ratio $$\frac{S_n}{S_{n +1}}$$ is:

 1 $$\frac{2n+1}{2n-1}$$ 2 $$\frac{2n}{2n-1}$$ 3 $$\frac{2n-1}{2n}$$ 4 $$\frac{2n-1}{2n+1}$$
Subtopic:  Uniformly Accelerated Motion |
57%
From NCERT
NEET - 2021
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A man throws some 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 $$g = 9.8$$ m/s2)

 1 More than $$19.6$$ m/s 2 At least $$9.8$$ m/s 3 Any speed less than $$19.6$$ m/s 4 Only with a speed of $$19.6$$ m/s
Subtopic:  Uniformly Accelerated Motion |
66%
From NCERT
AIPMT - 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. $$ut$$
2. $$\frac{1}{2}gt^2$$
3. $$ut-\frac{1}{2}gt^2$$
4. $$(u+gt)t$$

Subtopic:  Uniformly Accelerated Motion |
65%
From NCERT
AIPMT - 2003
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