A projectile thrown with a speed *v* at an angle θ has a range *R* on the surface of earth. For same *v* and θ, its range on the surface of moon will be (acceleration due to gravity on moon=$\frac{g}{6}$):

(1) *R*/6

(2) 6 *R*

(3) *R*/36

(4) 36 *R *

Concept Questions :-

Projectile motion

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A ball is projected with kinetic energy *E *at an angle of 45° to the horizontal. At the highest point during its flight, its kinetic energy will be

(1) Zero

(2) $\frac{E}{2}$

(3) $\frac{E}{\sqrt{2}}$

(4) *E*

PMT - 1994

Concept Questions :-

Projectile motion

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At the top of the trajectory of a projectile, the magnitude of the acceleration is

(1) Maximum

(2) Minimum

(3) Zero

(4) *g*

Concept Questions :-

Projectile motion

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A body is projected at such an angle that the horizontal range is three times the greatest height. The angle of projection is

(1) ${25}^{o}{8}^{\text{'}}$

(2) ${33}^{o}{7}^{\text{'}}$

(3) ${42}^{o}{8}^{\text{'}}$

(4) ${53}^{o}{8}^{\text{'}}$

AIIMS - 1998

Concept Questions :-

Projectile motion

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Two bodies are projected with the same velocity. If one is projected at an angle of 30° and the other at an angle of 60° to the horizontal, the ratio of the maximum heights reached is

(1) 3 : 1

(2) 1 : 3

(3) 1 : 2

(4) 2 : 1

AIIMS - 2001

Concept Questions :-

Projectile motion

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If the range of a gun which fires a shell with muzzle speed *V* is *R*, then the angle of elevation of the gun is

(1) ${\mathrm{cos}}^{-1}\left(\frac{{\displaystyle {V}^{2}}}{{\displaystyle Rg}}\right)$

(2) ${\mathrm{cos}}^{-1}\left(\frac{{\displaystyle gR}}{{\displaystyle {V}^{2}}}\right)$

(3) $\frac{1}{2}\left(\frac{{\displaystyle {V}^{2}}}{{\displaystyle Rg}}\right)$

(4) $\frac{1}{2}{\mathrm{sin}}^{-1}\left(\frac{{\displaystyle gR}}{{\displaystyle {V}^{2}}}\right)$

Concept Questions :-

Projectile motion

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If a body *A* of mass *M* is thrown with velocity *V* at an angle of 30° to the horizontal and another body *B* of the same mass is thrown with the same speed at an angle of 60° to the horizontal. The ratio of horizontal range of *A* to *B* will be** **

(1) 1 : 3

(2) 1 : 1

(3) $1:\sqrt{3}$

(4) $\sqrt{3}:1$

PMT - 1992

Concept Questions :-

Projectile motion

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Four bodies *P, Q, R *and *S* are projected with equal velocities having angles of projection 15^{o}, 30^{o}, 45^{o} and 60^{o} with the horizontal respectively. The body having shortest range is

(1) *P*

(2) *Q *

(3) *R*

(4) *S *

Concept Questions :-

Projectile motion

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A stone projected with a velocity *u* at an angle *θ* with the horizontal reaches maximum height *H*_{1}. When it is projected with velocity *u* at an angle $\left(\frac{\pi}{2}-\theta \right)$with the horizontal, it reaches maximum height *H*_{2}. The relation between the horizontal range *R* of the projectile, *H*_{1} and *H*_{2 }is

(1) $R=4\sqrt{{H}_{1}{H}_{2}}$

(2) *R* = 4(*H*_{1} – *H*_{2})

(3) *R* = 4(*H*_{1} + *H*_{2})

(4) $R=\frac{{{H}_{1}}^{2}}{{{H}_{2}}^{2}}$

Concept Questions :-

Projectile motion

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Which of the following sets of factors will affect the horizontal distance covered by an athlete in a long–jump event

(1) Speed before he jumps and his weight

(2) The direction in which he leaps and the initial speed

(3) The force with which he pushes the ground and his speed

(4) None of these

Concept Questions :-

Projectile motion

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