In a projectile motion the velocity,

 1 is always perpendicular to the acceleration 2 is never perpendicular to the acceleration 3 is perpendicular to the acceleration for one instant only 4 is perpendicular to the acceleration for two instants
Subtopic: Â Projectile Motion |
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A projectile is fired so as to give a maximum horizontal range of $$1$$ km. What would be the maximum height reached by it if it were to be fired vertically upward?
 1 $$2$$ km 2 $$1$$ km 3 $$\dfrac12$$ km 4 $$\dfrac14$$ km
Subtopic: Â Projectile Motion |
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From NCERT
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Consider the two situations shown in the figures. In figure (A), the particle $$P$$ is given a velocity $$u$$ up a smooth horizontal incline and it reaches a maximum vertical height $$h_A$$. In figure (B), the same particle $$P$$ is projected with a velocity $$u$$ at an angle $$\theta$$ (parallel to the previous incline) and reaches a maximum height $$h_B$$.
Then,
 1 $$h_A=h_B~\text{sin}\theta$$ 2 $$h_A~\text{sin}\theta=h_B$$ 3 $$h_A~\text{sin}^2\theta=h_B$$ 4 $$\frac{h_A}{\text{sin}^2\theta}=h_B$$
Subtopic: Â Projectile Motion |
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Two projectiles are launched, one at twice the speed of the other; the slower one at $$30^\circ$$ and the faster one at $$60^\circ.$$ Their horizontal ranges are in the ratio: (slower : faster)

 1 $$\dfrac{1}{2}$$ 2 $$\dfrac{1}{4}$$ 3 $$\dfrac{1}{6}$$ 4 $$\dfrac{1}{12}$$
Subtopic: Â Projectile Motion |
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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: Â Projectile Motion |
Â 83%
From NCERT
AIPMT - 2013
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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. $$\theta = \tan^{-1}\left(\frac{1}{4}\right)$$
2. $$\theta = \tan^{-1}(4)$$
3. $$\theta = \tan^{-1}(2)$$
4. $$\theta = 45^{\circ}$$
Subtopic: Â Projectile Motion |
Â 75%
From NCERT
AIPMT - 2012
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If two projectiles, with the same masses and with the same velocities, are thrown at an angle $$60^\circ$$ & $$30^\circ$$ with the horizontal, then which of the following quantities will remain the same?

 1 time of flight 2 horizontal range of projectile 3 maximum height acquired 4 all of the above

Subtopic: Â Projectile Motion |
Â 79%
From NCERT
AIPMT - 2000
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