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Date, , : 25/12/2021, , BENAKATTI PU COLLEGE, , TEST : KCET, , PHYSICS, 4.MOTION IN A PLANE, Single Correct Answer Type, 1. For an object thrown at, to horizontal, the, maximum height, and horizontal range (R ), are related as, a), b), c), d), 2. The horizontal and vertical displacement and, of a projectile at a given time are given by, metre and, metre. The, range of the projectile in metre is, a) 9.6, b) 10.6, c) 19.2, d) 38.4, 3. A man can throw a stone to a maximum, distance of 80 m. The maximum height to, which it will rise in metre, is, a) 30 m, b) 20 m, c) 10 m, d) 40 m, 4. Neglecting the air resistance, the time of flight, of a projectile is determined by, a), b), c), d), (, , 8., , ), 5., , 6., , 7., , A body is projected at an angle with respect, to horizontal direction with velocity The, maximum range of the body is, a), , b), , c), , d), , A boy throws a cricket ball from the boundary, to the wicket-keeper. If the frictional force due, to air cannot be ignored, the forces acting on, the ball at the position X are respected by, , a), , b), , c), , d), , A ball is projected with kinetic energy at an, angle of, to the horizontal. At the highest, point during its flight, its kinetic energy will be, a) Zero, b) ⁄, c) ⁄, d), √, , A ball thrown by one player reaches the other, in 2 s. The maximum height attained by the ball, above the point of projection will be, , a) 2.5 m, b) 5 m, c) 7.5 m, d) 10 m, 9. A cart is moving horizontally along a straight, line with constant speed, . A projectile, is to be fired from the moving cart in such a, way that it will return to the cart has moved 80, m. At what speed (relative to the cart) must, the projectile be fired?, a), b), c), d) None of, the, √, above, 10. A particle is projected with certain velocity at, two different angels of projections with, respect to horizontal plane so as to have same, range R on a horizontal plane. If and are, the time taken for the two paths, the which, one of the following relations is correct?, a), b), c), d), , 11. Two bodies are projected from ground with, equal speed, from the same position in, the same vertical plane to have equal range, but at different angles above the horizontal. If, one of the angle is, the sum of their, maximum heights is, a) 400 m b) 20 m, c) 30 m, d) 40 m, 12. A ball is projected from the ground at a speed, of, making an angle of, with the, horizontal. Another ball is simultaneously, released from a point on the vertical line along, the maximum height of the projectile. The, initial height of the second ball is, a) 6.25 m, b) 2.5 m, c) 3.75 m, d) 5 m, 13. The height and the distance along the, horizontal plane of a projectile on a certain, planet (with no surrounding atmosphere) are, given by, metre and, metre,, Page|1

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where is in second. The velocity with which, the projectile is projected, is, a), b), c), d), 14. Three particles A, B and C are projected from, the same point with the same initial speeds, making angles ,, and, respectively, with the horizontally. Which of the following, statements is correct?, a) A,B and C have, b) Range of A and C, unequal ranges, are less than that of, , 21., , B, d) A,B and C have, , c) Range of A and C, are equal and greater equal ranges, than that of B, 15. A bomb is dropped from an aeroplane flying, horizontally with a velocity, at an, altitude of 980 m. The bomb will hit the ground, after a time, a), b) √, c) √, d) √, 16. A bullet is fired horizontally with a velocity of, . During the first second,, a) It falls 9.8 m, b) It falls m, c) It does not fall at all d) It falls 4.9 m, 17. A body is projected with initial velocity of, ̂, ̂, . The horizontal range is, a), b), c), d) None of, 9.6 m, 14 m, 50 m, these, 18. A bomb is dropped on an enemy post by an, aeroplane flying horizontally with a velocity of, and at a height of 490 m. At the time, of dropping the bomb, how far the aeroplane, should be from the enemy post so that the, bomb may directly hit the target?, a), b), c), d), 19. Two tall buildings are 40 m apart. With what, speed must a ball be thrown horizontally from, a window 145 m above the ground in one, building, so that it will enter a window 22.5 m, from the ground in the other?, a), b), c), d), 20. A ball is projected from a certain point on the, surface of a planet at a certain angel with the, horizontal surface. The horizontal and vertical, displacement and vary with time in, second as, √ and, , 22., , 23., , 24., , The maximum height attained by the ball is, a) 100 m, b) 75 m, c) 50 m, d) 25 m, A body is projected at an angle to the, horizontal with kinetic energy . The, potential energy at the highest point of the, trajectory is, a), b), c), d), A body is thrown with a velocity of, at, an angle of, with the horizontal. Its velocity, at the highest point is, a), b), c), d), A body of mass 1 kg thrown with a velocity of, at an angle of, with the horizontal., Its momentum at the highest point is, a), b), c), d), A projectile is thrown at angle with vertical., It reaches a maximum height . The time taken, to reach the highest point of its path is, a) √, b) √, c) √, d) √, , 25. The horizontal range of an oblique projectile is, equal to the distance through which a, projectile has to fall freely from rest to acquire, a velocity equal to the velocity of projection in, magnitude. The angle of projection is, a), b), c), d), 26. A boy playing on the roof of a 10 m high, building throws a ball with a speed of, Page|2

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at an angle of 30 with the horizontal. How far, from the throwing point will the ball be at the, height of 10 m from the ground?, √, a) 5.20 m, b) 4.33 m, c) 2.60 m, d) 8.66 m, 27. In the case of an oblique projectile, the velocity, is perpendicular to acceleration, a) Once only, b) Twice, c) Thrice, d) Four times, 28. The kinetic energy of a projectile at the highest, point is half of the initial kinetic energy. What, is the angle of projection with the horizontal?, a), b), c), d), 29. Trajectories of two projectiles are shown in, figure. Let and be the time periods and, and their speeds of projection. Then, , 30., , 31., , 32., , 33., , a), b), c), d), The velocity of projection of an oblique, ̂, ̂, projectile is ⃗, . The speed, of the projectile at the highest point of the, trajectory is, a), b), c), d) Zero, A projectile is fired with a velocity at an, angle with the horizontal. The speed of the, projectile when its direction of motion makes, an angle with the horizontal is, a), b), c), d), A projectile shot into air at some angle with the, horizontal has a range of 200 m. If the time of, flight is 5 s, then the horizontal component of, the velocity of the projectile at the highest, point of trajectory is, a), b), c), d) Equal to the velocity of projection of the, projectile, For a projectile thrown into space with a speed, , the horizontal range is, range is, , √, , The vertical, , . The angle which the projectile, , makes with the horizontal initially is, a), b), c), d), 34. A projectile is thrown at an angle of, to, the horizontal from point . At the same time,, another projectile is thrown with velocity, upwards from the point vertically below the, highest point. For to collide with, should, be, , a), , 1, , b), , 2, , c), , d), , 4, , 35. A man can thrown a stone 100 m away. The, maximum height to which he can throw, vertically is, a) 200 m b) 100 m c) 50 m, d) 25 m, 36. A ball is projected with kinetic energy at an, angle of, to the horizontal. At the highest, point during its flight, its kinetic energy will be, a), b) √, c), d) Zero, 37. A particle is projected from the ground with, an initial velocity of, at an angle of 60, with horizontal. From what height should an, another particle be projected horizontally, with velocity, so that both the particles, collide in ground at point if both are, projected simultaneously?, , a) 10 m, b) 30 m, c) 15 m, d) 25 m, 38. A ball is projected up an incline of, with a, velocity of, at an angle of, with, reference to the inclined plane from the, bottom of the inclined plane. If, ,, then the range on the inclined plane is, a) 12 m, b) 60 m, c) 120 m d) 600 m, 39. A particle is projected from horizontal making, an angle, with initial velocity, . The, Page|3

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time taken by the particle to make angel, from horizontal, is, a) 15 s, b) 2.0 s, c) 20 s, d) 1.5 s, 40. A 0.098 kg block slides down a frictionless, track as shown. The vertical component of the, velocity of block at is, , a) √, b) √, c) √, d) √, 41. Two projectile are thrown with the same, initial velocity at angles and, with, the horizontal. The maximum heights attained, by them are, , and, , respectively. Then, , is, , equal to, a), b), c), d) 1, 42. If the angle of projection of a projectile is, ,, then how many times the horizontal range is, larger than the maximum height?, a) 2, b) 3, c) √, d) √, 43. The equation of a projectile is, , √, , ., , The angle of projection is given by, a), c), , √, , b), , √, , d) Zero, , 44. Two stones thrown at different angles have, same initial velocity and same range. If is the, maximum height attained by one stone thrown, at an angle of, , then the maximum height, attained by the other stone is, a), b), c), d), 45. A projectile is thrown with velocity making, an angle with the horizontal. It just crosses, the tops of two poles, each of height , after 1s, and 3s respectively. The time of flight of the, projectile is, a) 1 s, b) 3 s, c) 4 s, d) 7.8 s, 46. A particle is projected at an angle of, above, the horizontal with a speed of, . After, some time the direction of its velocity makes, an angle of, above the horizontal. The, speed of the particle at this instant is, , a), , b), , √, , c), , d), , √, √, 47. A particle is projected up an inclined plane, with initial speed, at an angle, with plane. The component of its, velocity perpendicular to plane when it strikes, the plane is, a), b), c), d) Data is, insuffici, √, √, ent, 48. A projectile of mass is thrown with a, velocity making an angle of, with the, horizontal. The change in momentum from, departure to arrival along vertical direction, is, a), b), c), d), √, 49. Two projectiles and are thrown with, velocities and respectively. They have the, same range. If is thrown at an angle of 15 to, the horizontal, a must have been thrown at an, angle, a), c), , (, , ), , b), , ( ), , d), , ( ), ( ), , 50. The angle of projection of a projectile for which, the horizontal range and maximum height are, equal is, a), b), c), d), 51. A body is projected with speed, at angle, . The kinetic energy at the highest point is half, of the initial kinetic energy. The value of is, a), b), c), d), 52. A ball is projected upwards from the top of a, tower with a velocity of, making an, angle of, with the vertical. If the height of, the tower is 70 m, then the ball will reach the, ground in (Take, ), a) 2 s, b) 3 s, c) 5 s, d) 7 s, 53. The horizontal range of a projectile √ times, the maximum height achieved by it, then the, angle of projection is, a), b), c), d), 54. A man throws a ball vertically upwards and it, rises through 20 m and returns to his hands., What was the initial velocity, of the ball and, for how much time, it remained in the air?, Page|4

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a), , b), , c), , d), , a) √, b) √, , 55. A body of mass is projected with a speed, making an angle with the horizontal. The, change in momentum suffered by the body, along he -axis between the starting point and, the highest point of its path will be, a), b), c), d), 56. If a stone to hit at a point which is at a, distance away and at a height above the, point from where the stone starts, then what is, the value of initial sped , if the stone is, launched at an angle ?, , a), , c) √, , √, , b), , √, , d) √, , 57. An aeroplane is flying horizontally with a, velocity of, and at a height of 1960, m. When it is vertically above a point on the, ground, a bomb is released from it. The bomb, strikes the ground at point . The distance, is (ignoring air resistance), a) 1200 m b) 0.33 km c) 3.33 km d) 33 km, 58. A stone is thrown at an angle to the, horizontal reaches a maximum heights H . then, the time of flight of stone will be, a), b), c), d), √, √, √, √, , c) √, d) √, , Assertion - Reasoning Type, This section contain(s) 1 question(s) numbered 60, to 60. Each question contains STATEMENT, 1(Assertion) and STATEMENT 2(Reason). Each, question has the 4 choices (a), (b), (c) and (d) out, of which ONLY ONE is correct., a) Statement 1 is True, Statement 2 is True;, Statement 2 is correct explanation for Statement, 1, b) Statement 1 is True, Statement 2 is True;, Statement 2 is not correct explanation for, Statement 1, c) Statement 1 is True, Statement 2 is False, d) Statement 1 is False, Statement 2 is True, 60, Statement 1: Two bombs of 5kg and 10kg, are thrown from a cannon in, the same direction with, different velocities, then both, will reach the earth, simultaneously, Statement 2: Time of fight does not depend, upon mass, , 59. A projectile is thrown at angle with vertical., It reaches a maximum height H. The time taken, to reach the highest point of its path is, , Page|5