# The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is: 1. $$\theta = \tan^{-1}\left(\frac{1}{4}\right)$$ 2. $$\theta = \tan^{-1}(4)$$ 3. $$\theta = \tan^{-1}(2)$$ 4. $$\theta = 45^{\circ}$$

Subtopic:  Projectile Motion |
75%
From NCERT
AIPMT - 2012
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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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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 |
77%
From NCERT
AIPMT - 2011
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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.  $2\mathrm{mv}$

2.  $\mathrm{mv}/\sqrt{2}$

3.  $\mathrm{mv}\sqrt{2}$

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 ($\sqrt{3}$, $$3).$$ 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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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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