A missile is fired for a maximum range with an initial velocity of \(20\) m/s. If \(g=10\) m/s2, then the range of the missile will be:
1. \(50\) m
2. \(60\) m
3. \(20\) m
4. \(40\) m

Subtopic:  Projectile Motion |
 83%
From NCERT
AIPMT - 2011
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A particle has initial velocity \((3\hat{i}+4\hat{j})\) and has acceleration \((0.4\hat{i}+0.3\hat{j}).\) Its speed after \(10\) s is:
1. \(7\) units
2. \(7\sqrt{2}\) units
3. \(8.5\) units
4. \(10\) units
Subtopic:  Uniformly Accelerated Motion |
 85%
From NCERT
AIPMT - 2010
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A particle of mass m is projected with velocity v making an angle of 45° with the horizontal. When the particle lands on level ground, the magnitude of change in its momentum will be:

1.  2mv

2.  mv/2

3.  mv2

4.  zero

Subtopic:  Projectile Motion |
 56%
From NCERT
AIPMT - 2008
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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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For a projectile projected at angles \((45^{\circ}-\theta)\) and \((45^{\circ}+\theta)\), 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 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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A body is moving with a velocity of \(30\) m/s towards the east. After \(10\) s, its velocity becomes \(40\) m/s towards the north. The average acceleration of the body is:
1. \( 7~\text{m/s}^2\)
2. \( \sqrt{7}~\text{m/s}^2\)
3. \(5~\text{m/s}^2\)
4. \(1~\text{m/s}^2\)

Subtopic:  Acceleration |
 76%
From NCERT
AIPMT - 2011
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A particle moves in a circle of radius \(5\) cm with constant speed and time period \(0.2\pi\) s. The acceleration of the particle is:

1. \(25\) m/s2 2. \(36\) m/s2
3. \(5\) m/s2 4. \(15\) m/s2
Subtopic:  Circular Motion |
 80%
From NCERT
AIPMT - 2011
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The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is:
1. θ=tan-114
2. θ=tan-14
3. θ=tan-12
4. θ=450

Subtopic:  Projectile Motion |
 75%
From NCERT
AIPMT - 2012
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The velocity of a projectile at the initial point \(A\) is \(2\hat i+3\hat j~\)m/s. Its velocity (in m/s) at point \(B\) is:
              

1. \(-2\hat i+3\hat j~\) 2. \(2\hat i-3\hat j~\)
3. \(2\hat i+3\hat j~\) 4. \(-2\hat i-3\hat j~\)
Subtopic:  Projectile Motion |
 83%
From NCERT
AIPMT - 2013
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