For an oblique projectile from ground to ground
(A) angle between velocity and
acceleration continuously decreases
(B) horizontal component of velocity first decreases and then increases
(C) vertical component of velocity remains constant
(D) speed remains constant

Projectile motion is a combination of two one-dimensional motion: one in horizontal and other in vertical direction. Motion in 2D means in a plane. Necessary condition for 2D motion is that the velocity vector is coplanar to the acceleration vector. In case of projectile motion, the angle between velocity and acceleration will be 0^@ltthetalt180^@ . During the projectile motion, the horizontal component of velocity ramains unchanged but the vertical component of velocity is time dependent. Now answer the following questions: A particle is projected from the origin in the x-y plane. The acceleration of particle in negative y-direction is alpha . If equation of path of the particle is y = ax - bx^2 , then initial velocity of the particle is

Projectile motion is a combination of two one-dimensional motion: one in horizontal and other in vertical direction. Motion in 2D means in a plane. Necessary condition for 2D motion is that the velocity vector is coplanar to the acceleration vector. In case of projectile motion, the angle between velocity and acceleration will be 0^@ lt theta lt 180^@ . During the projectile motion, the horizontal component of velocity ramains unchanged but the vertical component of velocity is time dependent. Now answer the following questions: An object is projected from origin in x-y plane in which velocity changes according to relation vecv = a hati + bx hatj . Path of particle is

Projectile motion is a combination of two one-dimensional motion: one in horizontal and other in vertical direction. Motion in 2D means in a plane. Necessary condition for 2D motion is that the velocity vector is coplanar to the acceleration vector. In case of projectile motion, the angle between velocity and acceleration will be 0^@ltthetalt180^@ . During the projectile motion, the horizontal component of velocity ramains unchanged but the vertical component of velocity is time dependent. Now answer the following questions: A body is projected at angle of 30^@ and 60^@ with the same velocity. Their horizontal ranges are R_1 and R_2 and maximum heights are H_1 and H_2 , respectively, then A body is projected at angle of 30^@ and 60^@ with the same velocity. Their horizontal ranges are R_1 and R_2 and maximum heights are H_1 and H_2 , respectively, then

if theta is angle between the velocity and acceleration of a particle moving on a circular path with decreasing speed, then

Assertion In case of projectile motion, the magnitude of rate of change of velocity is variable. Reason In projectile motion, magnitude of velocity first decreases and then increases during the motion.

(A): Time taken by the bomb to reach the ground from a moving aeroplane depends on height of aeroplane only (R): Horizontal component of velocity of bomb remains constant and vertical component of velocity of bomb changes due to gravity.

A ball is projected on a very long floor. There may be two conditions (i) floor is smooth & (ii) the collision is elastic If both the considered then the path of ball is as follows. Now if collision is inelastic and surface is rough then the path is as follows. Successive range is decreasing . Roughness of surface decreases the horizontal component of ball during collision and inelastic nature of collision decreases the vertical component of velocity of ball. In first case both components remain unchanged in magnitude and in second case both the components of the velocity will change. Let us consider a third case here surface is rough but the collision of ball with floor is elastic. A ball is projected withe speed u at an angle 30^(@) with horizontal and it is known that after collision with the floor its speed becomes (u)/(sqrt(3)) . Then answer the following questions. The angle made by the resultant velocity vector of the ball with horizontal after first collision with floor is :

A ball is projected on a very long floor. There may be two conditions (i) floor is smooth & (ii) the collision is elastic If both the considered then the path of ball is as follows. Now if collision is inelastic and surface is rough then the path is as follows. Successive range is decreasing . Roughness of surface decreases the horizontal component of ball during collision and inelastic nature of collision decreases the vertical component of velocity of ball. In first case both components remain unchanged in magnitude and in second case both the components of the velocity will change. Let us consider a third case here surface is rough but the collision of ball with floor is elastic. A ball is projected withe speed u at an angle 30^(@) with horizontal and it is known that after collision with the floor its speed becomes (u)/(sqrt(3)) . Then answer the following questions. If the ball after first collision with the floor has rebounded vertically then the speed of the ball just after the collision with the floor would have been :

A ball is projected on a very long floor. There may be two conditions (i) floor is smooth & (ii) the collision is elastic If both the considered then the path of ball is as follows. Now if collision is inelastic and surface is rough then the path is as follows. Successive range is decreasing . Roughness of surface decreases the horizontal component of ball during collision and inelastic nature of collision decreases the vertical component of velocity of ball. In first case both components remain unchanged in magnitude and in second case both the components of the velocity will change. Let us consider a third case here surface is rough but the collision of ball with floor is elastic. A ball is projected withe speed u at an angle 30^(@) with horizontal and it is known that after collision with the floor its speed becomes (u)/(sqrt(3)) . Then answer the following questions. The ratio of maximum height reached by ball in first loop and second loop ((H_(1))/(H_(2))) is :

Assertion: In case of projectile motion, acceleration horizontal component of velocity and mechanical energy remains unchanged but speed. Vertical component of velocity, momentum K.E. and P.E. change. Reason: In the presence of air resistance, the range and maximum height attained reduce, but time of flight increases.