# The velocity ($$v$$)- time ($$t$$) plot of the motion of a body is shown below:                        The acceleration ($$a$$)- time ($$t$$) graph that best suits this motion is:  1. 2. 3. 4.

Subtopic:  Graphs |
73%
From NCERT
NEET - 2024
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An object falls freely from height $$h$$ above the ground. It travels $$\dfrac{5}{9}h$$ in the last $$1~\text{s}$$. Then height $$h$$ is: (Given $$g =10~\text{ms}^{-2}$$
 1 $$5~\text{m}$$ 2 $$25~\text{m}$$ 3 $$45~\text{m}$$ 4 $$58~\text{m}$$
Subtopic:  Uniformly Accelerated Motion |
66%
From NCERT
NEET - 2024
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The speed ($$s$$) of a car as a function of time ($$t$$) is shown figure, The distance travelled by the car in $$8$$ seconds is:
1. $$180~\text{m}$$
2. $$60~\text{m}$$
3. $$80~\text{m}$$
4. $$18~\text{m}$$
Subtopic:  Distance & Displacement |
78%
From NCERT
NEET - 2024
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A particle is moving along the $$x\text-$$axis with its position $$(x)$$ varying with time $$(t)$$ as $$x=\alpha t^{4}+\beta t^{2}+\gamma t+\delta.$$ The ratio of its initial velocity to its initial acceleration is:
1. $$2\alpha:\delta$$
2. $$\gamma:2\delta$$
3. $$4\alpha:\beta$$
4. $$\gamma:2\beta$$
Subtopic:  Instantaneous Speed & Instantaneous Velocity |
73%
From NCERT
NEET - 2024
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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 |
65%
From NCERT
NEET - 2023
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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 |
66%
From NCERT
NEET - 2023
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The position-time $$(x\text-t)$$ graph for positive acceleration is:
 1 2 3 4
Subtopic:  Graphs |
79%
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 |
74%
From NCERT
NEET - 2022
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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 |
83%
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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