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%
From NCERT
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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%
From NCERT
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A particle is moving along the x-axis such that its velocity varies with time as per the equation v=201-t2. 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%
From NCERT
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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%
From NCERT
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An elevator whose floor to ceiling height is 12 meters, moves upward with an acceleration of 2.2 m/s2. 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. 2 s

4. 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 x=2+10t-5t2 (m). Its velocity (v) is best represented by?

1.    2.   
3. 4.
Subtopic:  Graphs |
 75%
From NCERT
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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 t1, t2 , and t3 seconds. The ratio of t1:t2:t3 is:
1. 1: 2 : 3
2. 1:2:3
3. 1:(2-1):(3-2)
4. 3:2:1

Subtopic:  Uniformly Accelerated Motion |
 78%
From NCERT
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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 g=10 m/s2)

1. \(340\) m 2. \(320\) m
3. \(300\) m 4. \(360\) m
Subtopic:  Uniformly Accelerated Motion |
 82%
From NCERT
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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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