Mohammed Asif

Name :

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Topic : Kinematics

Ph : 9391326657, 64606657

AIEEE Model Question Paper

1. A rescue plane is flying horizontally with a speed of 20ms-1. At an altitude of 120m above the sea when it drops a warning flare. Neglecting air resistance and assuming that plane does not charge its course, speed or altitude, how for from the plane is the flare when it hits the water?a) 115 m b) 125 m c) 145 m d) 150 m

2. A cricketer can throw a ball to a maximum horizontal distance of 100m. With the same speed how much high above the ground can the cricketer throw the same ball?a) 200 m b) 150 m c) 100 m d) 50 m

3. A particle is projected at an angle of 600 above the horizontal with a speed of 10 ms-1. After sometime the direction of its velocity makes an angle of 300 above the horizontal. The speed of the particle at this instant is

a) b) c) d)

4. A body of mass m is projected horizontally with a velocity v form the top of a tower of height h and it reaches the ground at a distance x form the foot of the tower. If the second body of mass 3m is projected horizontally form the top of tower of height 3h, it reaches the ground at a distance 3x form the foot of the tower. The horizontal velocity of second body isa) b) c) d)

5. The maximum range of a projectile projected with some initial velocity is found to be 1000m, in the absence of wind and air resistance. The maximum height reached by this projectile isa) 250m b) 500 m c) 1000 m d) 750 m

6. The equation of projectile is, , the angle of its projection is

a) 00 b) 300 c) 600 d) 900

7. A ball rolls of the top of a stair way with a horizontal velocity um/s. If the steps are h metre high and b meter wide, the ball will hit the edge of the nth step, where n is

a) b) c) d)

8. A passenger traveling in a train moving with a constant velocity drops a stone form the window. To a passenger the path of projectile will appear to be a) Elliptical b) Parabolic c) Arc of a circle d) Straight line

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9. An aeroplane is flying horizontally with a velocity of 216km/h and a height of 1960m. When it is vertically above a point A on the ground, a bomb is released form it. The bomb strikes the ground at point B. The distance AB is (ignoring air resitance)a) 1200 m b) 0.33 km c) 3.33 km d) 33 km

10. A man has two spheres A and B. He is standing at the top of a tower. He gently drops the sphere A vertically downwards and throws the sphere B horizontally at the same time. Neglecting the air friction, which of the following is the correct statement?a) Both the spheres will reach the ground exactly simultaneouslyb) Sphere A will reach the ground earlierc) Sphere B will reach the ground earlierd) The question is incomplete because the masses of the spheres are not given

11. A projectile thrown with a speed v at an angle has a range R on the surface of earth. For same and , its range on the surface of moon will be

a) R / 6 b) R c) 6 R d) 36 R

12. A projectile of mass 100g is fired with a velocity of 20m/s making an angle of 30 0 with the horizontal. As it rises to the highest point of its path, its momentum changes bya) 1/2 kg m/s b) 1 kg m/s c) 2 kg m/s d) None of these

13. A shell is fired form a canon with a velocity v at angle with horizontal. At the highest point, it explodes into two pieces of equal mass. One of the pieces retraces its path to canon. The speed of the other piece just after explosion is

a) b) c) d)

14. An arrow is projected into air. Its time of flight is 5sec and range 200m. What is the maximum height reached by it? Take g = 10 m/s2

a) 31.25 m b) 24.5m c) 18.25m d) 46.75m

15. If range is half the maximum height of a projectile, then isa) b) c) d)

16. If the horizontal range of a projectile is equal to the maximum height reached, then the corresponding angle of projection is a) b) c) d)

17. A particle A is dropped from a height and another particle B is projected in horizontal direction with speed 5m/s form the same height, then correct statement isa) Particle A will reach at ground first with respect to particle Bb) Particle B will reach at ground first with respect to particle Ac) both particles will reach at ground simultaneouslyd) both particles will reach at ground with same speed.

18. A ball is projected upwards form the top of tower with a velocity 50ms -1 making an angle 300

with the horizontal. The height of tower is 70m. After how many seconds form the instant of throwing will the ball reach the ground?

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a) 2 s b) 5 s c) 7 s d) 9 s

19. The launching speed of a projectile is 10 times the speed it has at its maximum height. At what angle, measured with respect to the horizontal, was the projectile launched?a) b) c) d)

20. A man throws a ball vertically upwards and it rises through 20m and returns to his hands. What was the initial velocity (u) of the ball and for how much time (T) it remained in the air? (g = 10 m/s2)a) u = 10m/s; T = 2s b) u = 10m/s; T = 4s c) u = 20m/s; T = 2s d) u = 10m/s; T = 4s

21. A projectile is given an initial velocity of . The Cartesian equation of its path is

(g = 10ms-2)a) y = x - 5x2 b) y = 2x - 5x2 c) y = 2x - 15x2 d) y = 2x - 25x2

22. A stone is projected with a velocity at an angle of 450 to the horizontal. The average velocity of stone during its motion form starting point to its maximum height is (g = 10ms-2)a) b) c) 20 ms-1 d)

23. A projectile is thrown from a point in horizontal plane such that the initial horizontal and vertical component velocities are 9.8 ms-1 and 19.6 ms-1. It will strike the plane after covering a distance of a) 4.9 m b) 9.8 m c) 19.6 m d) 39.2 m

24. A ball is thrown up with a certain velocity at an angle to the horizontal. The kinetic energy (EK) of the ball vares with horizontal displacement x as

a) b) c) d)

25. A particle is thrown with a speed u at an angle with the horizontal. When the particle makes an angle with the horizontal, its speed becomes , whose value isa) b) c) d)

26. The time taken by the ball to return to the same level isa) 0.9 s b)1.9 s c) 2.5 s d) 2.9 s

27. The distance from the thrower to the point where the ball returns to the same level isa) 50 m b) 59 m c) 60 m d) 69 m

28. A grasshopper can jump maximum distance 1.6m. It spends negligible time on the ground. How for can it go in 10s? (g = 10ms-2)a) b) c) d)

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29. The equation of motion of a projectile are given by x = 36t meter and 2y = 96t – 9.8t2 metre. The angle of projection is

a) b) c) d)

30. A projectile is thrown with a speed u at an angle to the horizontal. The radius of curvature of its trajectory when the velocity vector of the projectile makes and angle with the horizontal is

a) b) c) d)

31. A projectile is thrown with an initial velocity of m/s. If the range of the projectile is four times the maximum height reached by it,a) a = 2b b) b = 4a c) b = 2a d) b = a

32. A particle of mass 0.01kg is projected with velocity from point (x = 0, y = 20). After 2

second, its position coordinates area) (4, 0) b) 20, 4 c) 0, 4 d) 4, 20

33. Maximum height of a bullet when fired at 300 with the horizontal is 11m. Then height when it is fired at 600 isa) 22 m b) 6 m c) 33 m d) 7.8 m

34. The horizontal range of a projectile is times the maximum height achieved by it, then the angle of projection of isa) 300 b) 450 c) 600 d) 900

35. Two balls are projected making an angle of 300 and 450 respectively with the horizontal. If both have same velocity at the highest points of their paths, then the ratio of their velocities of projection isa) b) c) d)

36. A projectile is fired at 300, momentum p. Neglecting friction, the change in kinetic energy when it returns to the ground will bea) zero b) 30 % c) 60 % d) 100 %

37. Which of the following is the altitude-time graph for a projectile thrown horizontally from top of the tower?

a) b) c) d)

38. A projectile is thrown with an initial velocity of . If the range of projectile is double the maximum height reached by it, then a) b) c) d)

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39. A canon on a level plane is aimed at an angle above the horizontal and a shell is fired with muzzle velocity v0 towards a cliff D distance away. The height at which the canon strikes the cliff is given by

a) b)

c) d)

40. A gun throw a shell with a muzzle speed of 98 ms-1. When the gun is elevated at 450, the range is observed as 900m. Due to air resistance its range is decreased bya)100m b) 80 m c) 120 m d) 160 m

41. From the top of a tower of height 40m, a ball is projected with a speed of 20ms -1 at angle of elevation 300. The ratio of the time taken by the ball to come back to the same height and time taken to hit the ground is (g = 10ms-2)a) 2 : 1 b) 1 : 2 c) 4 : 1 d) 1 : 4

42. A player kicks a ball at a speed of 20ms-1 so that its horizontal range is maximum. Another player 24m away in the direction of kick starts running in the same direction at the same instant of hit. If he has to catch the ball just before it reaches the ground, he should run with a velocity equal to (g = 10 ms-2)a) b) c) d)

43. The height and the distance x along the horizontal plane of a projectile on a certain planet (with no atmosphere) are given by m and , where t is in second. The angle with the horizontal at which the projectile was projected isa) b) c) d)

44. A body is projected downwards at an angle of 300 to the horizontal with a velocity of 9.8ms-1

form the top of a tower 29.4m high. How long will it take before striking the ground?a) 1 s b) 2 s c) 3 s d) 4 s

45. A particle is projected with a velocity u so that its horizontal range is twice the greatest height attained. The horizontal range isa) b) c) d) None of these

KEY

1 B 2 D 3 D 4 C 5 A6 C 7 B 8 D 9 A 10 A11 C 12 B 13 A 14 A 15 D16 C 17 C 18 C 19 A 20 D21 B 22 B 23 D 24 C 25 C26 D 27 D 28 C 29 B 30 C31 D 32 D 33 C 34 A 35 C36 A 37 D 38 B 39 C 40 B41 B 42 B 43 B 44 B 45 C

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