![]() ![]() A bullet pierces (A) and (B) the hole in (B), is 10 cm below the hole is (A). The two particle reach H, the highest, V, point on the parabolic path of particle simultaneously. ![]() At the same, instant, a second particle is thrown vertically upwards from a point A. To achieve this, he should run with a velocity of, (a) V0 cos,, 12.,, (b),, [AM,, A particle is projected with a speed V from a point O making an angle of 30o with the vertical. At the same instant he starts running with, uniform velocity to catch the ball before it hits the ground. If the line joining the point of projection to, the point where it hits the ground makes an angle of 45o with the horizontal, then the initial velocity of the ball, is, (a) 9.8 ms–1,, 13.,, (v cos v sin )2 gt,, A boy throws a ball with a velocity V0 at an angle to the horizontal. The initial velocity of the body is (g = 10 ms–2), (a) 2.5 ms–1,, 15.,, v 2 g 2 t 2 (2 v sin ) gt,, When a particle is thrown horizontally, the resultant velocity of the projectile at any time t is given by, (a) gt,, 14.,, (c),, From the top of a tower 19.6 m high, a ball is thrown horizontally. ![]() It touches the ground at a distance of 10 m, from the foot of the tower. If a packet is dropped from, it the speed of the packet when it reaches the ground will be, (a) (u 2 gh), 2,, 1/ 2,, 1/2,, (b) (2 gh),, (c) (u 2 gh), 2,, 1/2,, (d) 2 gh,, Advance level, 16.,, [EAMCET (,, A body is thrown horizontally from the top of a tower of height 5 m. The, path followed by the ball will be, (a) Parabola,, (b) Circular arc,, (c) Elliptical arc,, (d) Straight line,, Problems based on velocity,, Basic level, 9.,, In a projectile motion, the velocity, (a) Is always perpendicular to the acceleration, (b) Is never perpendicular to the acceleration, (c) Is perpendicular to the acceleration for one instant only, (d) Is perpendicular to the acceleration for two instants,, 10.,, A body of mass m is thrown upwards at an angle with the horizontal with velocity v. The wind exerts a steady force on the ball. Motion In Two Dimension 203, (a) 1 : 5, 8.,, (b) 5 : 1,, (c) 1 : 40,, (d) 40 : 1,, A ball is dropped from the top of a tower in a high speed wind. The equation for the, trajectory is h = Ax – Bx2 where h is height, x is horizontal distance, A and B are constants. The trajectory of the particle if the particle starts from origin at t = 0 will be, x , , (a) y a sin , , u0 ,, 7.,, x , , (b) y a cos , , u0 ,, (c) y tan x,, (d) y cos tx,, An object is projected with a velocity of 20 m/s making an angle of 45o with horizontal. Given that g =10 ms–2, what is the range of the projectile, 4,, (c) 30.6 m,, (d) 36.0 m,, Advance level, 6.,, , A particle is moving in a plane with velocity given by u u0ˆi (a cos t)ˆj where ˆi, ˆj are unit vectors along x and, y axes respectively. ![]() What is the equation of trajectory of the particle, (a) y kx,, 5.,, (b) y x ,, x 2, k,, The equation of motion of a projectile is y 12 x , (a) 12.4 m,, (b) 16 m,, (c) y ,, x 2, k,, (d) y x,, 3 2, x. Then this piece will, (a) Fall to the ground vertically, (b) Fly side by side with the parent stone along a parabolic path, (c) Fly horizontally initially and will trace a different parabolic path, (d) Lag behind the parent stone increasing the distance from it,, 4.,, A particle moves in the X-Y plane according to the law x = kt and y =kt (1 – t), where k and are positive, constants and t is time. A small piece separates from the stone, before the stone reaches its maximum height. 202 Motion In Two Dimension,, Projectile Motion, Problems based on trajectory,, Basic level, 1.,, At the top of the trajectory of a projectile, the directions of its velocity and acceleration are, (a) Perpendicular to each other,, (b),, (c) Inclined to each other at an angle of 45, 2.,, o,, ,, (a) Parabolic, 3.,, (b) Inclined straight line,, (c) Vertical straight line,, (d) Horizontal straight line,, A stone is projected with an initial velocity at an angle to the horizontal. ![]()
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