Three balls are thrown from the top of a building with equal speeds at different angles. When the balls strike the ground, their speeds are v1,v2 and v3 respectively, then:
           

1. v1>v2>v3

2. v3>v2=v1

3. v1=v2=v3

4. v1<v2<v3

Subtopic:  Projectile Motion |
 74%
From NCERT
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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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Two particles A and B, move with constant velocities \(\vec{v_1}\)   and  \(\vec{v_2}\) . At the initial moment their position vector are  \(\vec{r_1}\) and  \(\vec{r_2}\)  respectively. The condition for particles A and B for their collision to happen will be:

1.  r1 .v1 =r2 .v2

2.  r1 x v1 =r2 x v2

3.  r1- r2 =v1- v2

4.  r1- r2r1- r2= v2- v1v2- v1

Subtopic:  Speed & Velocity |
 71%
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A particle starting from the point \((1,2)\) moves in a straight line in the XY-plane. Its coordinates at a later time are \((2,3).\) The path of the particle makes with x-axis an angle of:

1. \(30^\circ\) 2. \(45^\circ\)
3. \(60^\circ\) 4. data is insufficient
Subtopic:  Position & Displacement |
 80%
From NCERT
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Figure below shows a body of mass M moving with a uniform speed v on a circular path of radius, R. What is the change in acceleration in going from P1 to P2
              

1. zero

2. v2/2R

3. 2v2/R

4. v2R×2

Subtopic:  Circular Motion |
From NCERT
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A particle is projected with a speed u at an angle θ to the horizontal. Radius of curvature at highest point of its trajectory is?

1. u2cos2θ2g

2. 3u2cos2θ2g

3. u2cos2θg

4. 3u2cos2θg

Subtopic:  Circular Motion |
From NCERT
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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 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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A particle starting from the origin \((0,0)\) moves in a straight line in the \((x,y)\) plane. Its coordinates at a later time are (3, \(3\)). The path of the particle makes an angle of __________ with the x-axis:
1. \(30^\circ\)
2. \(45^\circ\)
3. \(60^\circ\)
4. \(0\)

Subtopic:  Position & Displacement |
 76%
From NCERT
AIPMT - 2007
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