PROJECTILE. 5) Define the terms Velocity as related to projectile motion: 6) Define the terms angle of projection as related to projectile motion:

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1 1) Define Trajectory a) The path traced by particle in air b) The particle c) Vertical Distance d) Horizontal Distance PROJECTILE 2) Define Projectile a) The path traced by particle in air b) The particle c) Angle d) Vertical Distance 3) The curved path followed by a projectile is known as a) Projectile b) Angle of projection c) Range d) Trajectory 4) The path of projectile is a curve. a) Parabolic b) Circular c) Hyperbolic d) Third degree 5) Define the terms Velocity as related to projectile motion: a) Projectile project into space b) The angle with horizontal c) Horizontal distance between the point of projection and the point where projectiles strikes the ground d) The path traced by the particle 6) Define the terms angle of projection as related to projectile motion: a) The angle with the horizontal at which a projectile is projected b) The angle with the vertical at which a projectile is projected

2 c) The inclined angle at which a projectile is projected d) The parabolic shape 7) Define the terms horizontal range as related to projectile motion: a) The angle with the horizontal at which a projectile is projected b) Horizontal distance between the point of projection and the point where projectiles strikes the ground c) The angle with horizontal d) The inclined angle at which a projectile is projected 8) Define the terms Time of flight as related to projectile motion: a) The inclined angle at which a projectile is projected b) The angle with the vertical at which a projectile is projected c) The angle with the horizontal at which a projectile is projected d) Total time taken by the particle for which the projectile remain in space 9) The equation of trajectory of a projectile is a) Y= x tanα (gx²/ 2u 2 cos²α) b) Y= u 2 sin 2 α /( 2g) c) Y= u 2 cos 2 α /( 2g) d) Y= u cos 2 α /( 2g) 10) The equation for maximum height attained by the projectile a) h max= x tanα ² (gx²/2v )( 1+ tan²α) b) h max = u 2 sin 2 α /( 2g) c) h max = x tanα (gx²/ 2u 2 cos²α) d) h max = u 2 cos 2 α /( 2g) 11) The equation for time of flight by the projectile a) T= 2 u sinα/g b) T= x tanα (gx²/ 2u 2 cos²α) c) T= u 2 cos 2 α /( 2g)

3 d) T= u cos 2 α /( 2g) 12) The equation for horizontal range of the projectile a) R= u 3 sinα /( 2g) b) R= u 2 sinα /( 2g) c) R= u 2 sin2α /( g) d) R= u 2 sinα /(g) 13) The value of angle of projection for maximum horizontal range a) R max = u 2 sinα/2g b) R max = u 2 sinα/g c) R max = u 2 sinα d) R max = u 2 /g 14) A projectile covers a maximum range when it is directed at angle of... a) 15 b) 45 c) 25 d) 35 15) The horizontal range remains the same when the angle of projection α is replaced by... a) (π/2 α) b) (2π/2 α) c) (3π/2 α) d) (π/ α) 16) At the point of maximum height attained, the projectile has... velocity in the vertical directions. a) One b) Two c) Zero d) Three

4 17) For a projectile, time of flight is... the time to reach the greatest height. a) One b) Three c) Twice d) Zero 18) The maximum horizontal range is... the maximum height attained by the projectile. a) Half b) One c) Zero d) Two 19) Which one of the following situations constitutes a projectile? a) Lifting of a bottom b) Taking of an aircraft c) Throwing of a cricket ball from one player to other d) Launching of a satellite 20) The horizontal component of velocity of any projectile body a )Remains constant b) Increases c) Decreases d) None of these 21) The minimum velocity of a projectile body is at.. a) Starting point b) Highest point c) Lowest point 4) Any other point 22) For a projectile motion. Remains constant. a ) Velocity b) Vertical component of velocity c) Horizontal component of velocity d) Speed

5 23) The maximum height H will be reached by a projectile body in. a) Half the time of flight b) Double the time of flight c) The time of flight d) One fourth the time of flight 24) For a projectile motion of a body, the magnitudes of acceleration components in horizontal and vertical directions are..m/s² respectively. a) 0 and 9.81 b) 9.81 and 0 c) and 9.81 d) 9.81 and ) For a projectile motion, the body is under the influence of.throughout the flight. a) Gravitational force and launching impact b) Only launching impact c) Only gravitational force d) Horizontal and vertical forces 26) For a projectile motion, the magnitude of horizontal components of velocity and acceleration are a) Zero and constant respectively b) Constant and zero respectively c) Both non-zero constants d) Both variable 27) For a projectile motion, the horizontal component of it is a) A curvilinear motion with constant acceleration b) A curvilinear motion with constant non-zero acceleration c) A rectilinear motion with variable acceleration d) A rectilinear motion with zero acceleration 28) The ratio (R/H), where R and H are the horizontal range and maximum height reached by a projectile, is equal to.. a) 4/tanα b) tanα/4

6 c) 4.tanα d) one 29)The horizontal range R of..a projectile is a) Directly proportional to the gravitational acceleration g b) Inversely proportional to the gravitational acceleration g c) Independent of the gravitational acceleration g d) Directly proportional to the square of gravitational acceleration g 30) The range of projectile is 100m, when α=15 with horizontal. The range, while α=45 for the same launching velocity, will be. a) 100 m b) m c) m d) 200 m 31) A projectile is fired with a velocity of 300 m/s at an angle 30 with horizontal. Workout the velocity of the projectile after 10 seconds of its firing. a) m/s b) m/s c) m/s d) 1.02 m/s 32) An object is projected at an angle of 60 with the horizontal. If the horizontal range of the object is 2.5 km, make calculations for the velocity of projection, a) m/s b) m/s c) m/s d) m/s 33) A projectile is fired from a point on an inclined plane with a velocity of 50 m/s. The angle of projection & the angle of plane are 60 & 25 to the horizontal respectively. If the motion of the projectile is up the plane, determine, Time of flight a) 5.25 s b) s

7 c) s d) s 34) A particle is projected at such an angle with horizontal such that the horizontal range is 5 times greatest height attend by the particle. Find angle of projection a) b) c) d) ) A particle is projected at such an angle with horizontal such that the horizontal range is 3 times greatest height attend by the particle. Find angle of projection a) b) c) d) ) Determine the angle at which a bullet must fire over horizontal plane such than greatest height attained by it is equals to greatest distance travelled on the plane. a) b) c) d) ) A particle is projected at such an angle with horizontal such that the horizontal range is 4 times greatest height attend by the particle. Find angle of projection a) 45 0 b) 50 0 c) 40 0 d) ) A stone is projected in a vertical plane from the leveled ground with initial velocity 9m/s at elevation of 45 with what velocity must be another stone should be projected at an elevation of 30 to have the same range to the horizontal plane.

8 a) m/s b) 90 m/s c) 95 m/s d) 89 m/s 39) A fire holding a nozzle at a horizontal distance of 4.8m from a vertical wall which to send a jet of water through a small window in a wall located 3.6m vertically above the nozzle if inclination of a jet with horizontal is 60 calculate the required velocity of jet at the nozzle exist. a) 9.79m/s b) 95.91m/s c) m/s d) 4.713m/s 40) A bullet is fired from a gun with an initial velocity of 250m/s to hit a target. the target is located at a horizontal distance of 3750m and 625m above the gun. Determine angle of projection so that the bullet will hit the target. a) or b) or c) or d) or ) A cricket ball thrown by a fielder from a height of 2.5m at an angle of 30 to the horizontal with initial velocity of 20m/s hits the wicket at the height of 0.5m from ground. How far is the fielder from the wicket. a) 38.47m b) 30.56m c) 41.45m d) 29.89m 42) A particle projected from a point on an inclined plane with a velocity of 40 m/s. The angle of projection and angle of plane are 50 0 and 20 0 to the horizontal respectively. If the motion of the particle is up the plane, Determine Time of Flight a) s b) 5.55 s

9 c) 6.23 s d) 3.67 s 43) A particle projected from a point on an inclined plane with a velocity of 40 m/s. The angle of projection and angle of plane are 50 0 and 20 0 to the horizontal respectively. If the motion of the particle is up the plane, Determine Range of projectile up the plane a) m b) m c) m d) m 44) A particle projected from a point on an inclined plane with a velocity of 40 m/s. The angle of projection and angle of plane are 50 0 and 20 0 to the horizontal respectively. If the motion of the particle is up the plane, Determine angle of projection for maximum range up the plane a) 40 0 b) 60 0 c) 55 0 d) ) A particle projected from a point on an inclined plane with a velocity of 40 m/s. The angle of projection and angle of plane are 50 0 and 20 0 to the horizontal respectively. If the motion of the particle is up the plane, Determine Maximum range up the plane a) m b) m c) m d) m 46) A particle projected from a point on an inclined plane with a velocity of 30 m/s. The angle of projection and angle of plane are 55 0 and 20 0 to the horizontal respectively. If the motion of the particle is up the plane, Determine Time of Flight a)3.733 s. b) 5.55 s c) 6.23 s d) s

10 47) A particle projected from a point on an inclined plane with a velocity of 30 m/s. The angle of projection and angle of plane are 55 0 and 20 0 to the horizontal respectively. If the motion of the particle is up the plane, Determine Range of projectile up the plane a) m b) m c) m d) m 48) A particle projected from a point on an inclined plane with a velocity of 30 m/s. The angle of projection and angle of plane are 55 0 and 20 0 to the horizontal respectively. If the motion of the particle is up the plane, Determine angle of projection for maximum range up the plane a) 40 0 b) 70 0 c) 80 0 d) ) A particle projected from a point on an inclined plane with a velocity of 30 m/s. The angle of projection and angle of plane are 55 0 and 20 0 to the horizontal respectively. If the motion of the particle is up the plane, Determine Maximum range up the plane a) m b) m c) m d) m