# The displacement $$(x)$$ of a point moving in a straight line is given by; $$x=8t^2-4t.$$ Then the velocity of the particle is zero at: 1.  $$0.4$$ s 2.  $$0.25$$ s 3.  $$0.5$$ s 4.  $$0.3$$ s

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
87%
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The velocity $$v$$ of an object varies with its position $$x$$ on a straight line as $$v=3\sqrt{x}.$$ Its acceleration versus time $$(a\text-t)$$ graph is best represented by:

 1 2 3 4
Subtopic:  Acceleration |
60%
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A particle is moving along the x-axis such that its velocity varies with time as per the equation $\mathrm{v}=20\left(1-\frac{\mathrm{t}}{2}\right)$. At t=0 particle is at the origin. From the following, select the correct position (x) - time (t) plot for the particle:

 1 2 3 4
Subtopic:  Non Uniform Acceleration |
57%
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Suppose you are riding a bike with a speed of 20 m/s due east relative to a person A who is walking on the ground towards the east. If your friend B walking on the ground due west measures your speed as 30 m/s due east, find the relative velocity between two reference frames A and B:-

1. The velocity of A with respect to B is 5 m/s towards the east

2. The velocity of A with respect to B is 5 m/s towards the west

3. The velocity of A with respect to B is 10 m/s towards the east

4. The velocity of A with respect to B is 10 m/s towards the west

Subtopic:  Relative Motion in One Dimension |
63%
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An elevator whose floor to ceiling height is 12 meters, moves upward with an acceleration of $2.2$ $\mathrm{m}/{\mathrm{s}}^{2}$. After 1.5 seconds since starting, a bolt falls from its ceiling. The time taken by the bolt to reach the floor is

1. 1 s

2. 2 s

3. $\sqrt{2}$ s

4. $\sqrt{3}$ s

Subtopic:  Relative Motion in One Dimension |
64%
From NCERT
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The position (x) of a particle in a straight line motion is given by $\mathrm{x}=2+10\mathrm{t}-5{\mathrm{t}}^{2}$ $\left(\mathrm{m}\right)$. Its velocity (v) is best represented by?

 1 2 3 4
Subtopic:  Graphs |
75%
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A body starting from rest moves with uniform acceleration on a horizontal surface. The body covers 3 consecutive equal distances from the beginning in time ${\mathrm{t}}_{1},$  ${\mathrm{t}}_{3}$ seconds. The ratio of ${\mathrm{t}}_{1}:{\mathrm{t}}_{2}:{\mathrm{t}}_{3}$ is:
1. 1: 2 : 3
2. $1:\sqrt{2}:\sqrt{3}$
3. $1:\left(\sqrt{2}-1\right):\left(\sqrt{3}-\sqrt{2}\right)$
4. $\sqrt{3}:\sqrt{2}:1$

Subtopic:  Uniformly Accelerated Motion |
78%
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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 $\mathrm{g}=10$ $\mathrm{m}/{\mathrm{s}}^{2}\right)$

 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 particle starts from rest (with constant acceleration) and acquires velocity 20 m/s in 5s. The distance travelled by the particle in the next 2 s will be:

 1 50 m 2 48 m 3 100 m 4 150 m
Subtopic:  Uniformly Accelerated Motion |
72%
From NCERT
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A drunkard walking in a narrow lane takes $$5$$ steps forward and $$3$$ steps backward, followed again by $$5$$ steps forward and $$3$$ steps backward, and so on. Each step is $$1$$ m long and requires $$1$$ s. There is a pit on the road $$13$$ m away from the starting point. The drunkard will fall into the pit after:
1. $$37$$ s
2. $$31$$ s
3. $$29$$ s
4. $$33$$ s

Subtopic:  Distance & Displacement |
62%
From NCERT
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