Two particles A and B are moving in a uniform circular motion in concentric circles of radii \(r_A\) and \(r_B\) with speeds \(v_A\) and \(v_B\)
respectively. Their time periods of rotation are the same. The ratio of the angular speed of \(A\)  to that of \(B\) will be:

1. \( 1: 1 \) 2. \(r_A: r_B \)
3. \(v_A: v_B \) 4. \(r_B: r_A\)

Subtopic:  Circular Motion |
 79%
From NCERT
NEET - 2019
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A particle starts from rest at t=0 and undergoes an acceleration a in ms-2 with time t in second which is as shown

                   

Which one of the following plot represents velocity v in ms-1 versus time t in second?

1.  

2.  

3.  

4.  

Subtopic:  Acceleration |
 76%
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A particle starts from rest. Its acceleration (a) versus time (t) is as shown in the figure. The maximum speed of the particle will be

                                 

1.  110 ms-1

2.  55 ms-1

3.  550 ms-1

4.  660 ms-1

Subtopic:  Acceleration |
 72%
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The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement?

                              

1.  

2.  

3.  

4.  

Subtopic:  Acceleration |
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A particle moves along a parabolic path y = 9x2 in such a way that the x component of the velocity remains constant and has a value of 13 ms-1. It can be deduced that the acceleration of the particle will be:

1. 13 j^ ms-2

2. 3 j^ ms-2

3. 23 j^ ms-2

4. 2 j^ ms-2

Subtopic:  Acceleration |
From NCERT
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The relation between time and distance is t=αx2+βx, where α and β are constants. The retardation is

1.  2αv3

2.  2βv3

3.  2αβv3

4.  2β2v3

Subtopic:  Acceleration |
 62%
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A point moves in a straight line under the retardation av2. If the initial velocity is u, the distance covered in 't' second is-

1.  aut

2.  1aln aut

3.  1aln 1+aut

4.  a ln aut

Subtopic:  Acceleration |
 68%
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The speed of a swimmer in still water is \(20\) m/s. The speed of river water is \(10\) m/s and is flowing due east. If he is standing on the south bank and wishes to cross the river along the shortest path, the angle at which he should make his strokes with respect to the north is given by:

1. \(45^{\circ}\) west of north 2. \(30^{\circ}\) west of north
3. \(0^{\circ}\) west of north 4. \(60^{\circ}\) west of north
Subtopic:  Relative Motion |
 71%
From NCERT
NEET - 2019
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A car turns at a constant speed on a circular track of radius \(100\) m, taking \(62.8\) s for every circular lap. The average velocity and average speed for each circular lap, respectively, is:

1. \(0,~0\) 2. \(0,~10\) m/s
3. \(10\) m/s, \(10\) m/s 4. \(10\) m/s, \(0\)

Subtopic:  Speed & Velocity |
 82%
From NCERT
AIPMT - 2006
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For a projectile projected at angles (45°-θ) and (45°+θ), the horizontal ranges described by the projectile are in the ratio of:
1. 1:1
2. 2:3
3. 1:2
4. 2:1

Subtopic:  Projectile Motion |
 87%
From NCERT
AIPMT - 2006
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