The range of a particle when launched at an angle of 15° with the horizontal is 1.5 km. What is the range of the projectile when launched at an angle of 45° to the horizontal 

(1) 1.5 km

(2) 3.0 km

(3) 6.0 km

(4) 0.75 km

Concept Questions :-

Projectile motion
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Galileo writes that for angles of projection of a projectile at angles (45+θ) and (45θ), the horizontal ranges described by the projectile are in the ratio of (if θ45

(1) 2 : 1

(2) 1 : 2

(3) 1 : 1

(4) 2 : 3

Concept Questions :-

Projectile motion
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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=g6):

(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) E2

(3) E2

(4) E

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) 25o8'

(2) 33o7'

(3) 42o8'

(4) 53o8'

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

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) cos1V2Rg

(2) cos1gRV2

(3) 12V2Rg

(4) 12sin1gRV2

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) 1:3

(4) 3:1

Concept Questions :-

Projectile motion
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Four bodies P, Q, R and S are projected with equal velocities having angles of projection 15o, 30o, 45o and 60o 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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