In the climax of a movie, the hero jumps from a helicopter and the villain chasing the hero also jumps from the same level . After sometime when they come at same horizontal level, the villain fires bullet horizontally towards the hero, Both were falling with constant acceleration `2(m)/(s^2), because of parachute, Assuming the hero to be within the range of bullet, which of the following is correct.

A boy and a block, both of same mass, are suspended at the same horizontal level, from each end of a light string that moves over a frictionless pulley as shown. The boy start moving upward with an acceleration 2.5m//s^(2) relative the rope. If the block is to travel a total distance 10m before reaching at the pulley, the time taken by the block in doing so is equal to:

A boy and a block, both of same mass, are suspended at the same horizontal level, from each end of a light string that moves over a frictionless pulley as shown. The boy start moving upward with an acceleration 2.5m//s^(2) relative the rope. If the block is to travel a total distance 10m before reaching at the pulley, the time taken by the block in doing so is equal to:

A soldier fires a bullet horizontally from the top a cliff with a velocity of 10 m *s^(-1) . If the bullet strikes the ground after 2s , find the height of the cliff. Also calculate the velocity with which the bullet strikes the ground .

Two particles, one of mass m and the other of mass 2m, are projected horizontally towards each other from the same level above the ground with velocities 10 m/s and 5 m/s, respectively. They collide in air and stick to each other. The distance of the combined mass from point A is

Two particles, one of mass m and the other of mass 2m, are projected horizontally towards each other from the same level above the ground with velocities 10 m/s and 5 m/s, respectively. They collide in air and stick to each other. The distance of the combined mass from point A is

Two particles one of mass m and the other of mass 2 m are projected horizontally towards each other from the same level above the ground with velocities 10 m/s and 5 m/s respectively . They collide in air and stick to each other . The distance from A , where the combined mass finally land is

A mass M=1 kg lies on a smooth horizontal base of a rough inclined plane at an angle 37^(@) with the horizontal as shown in figure-4.81. A bullet of mass m=0.1 kg is fired horizontally with a velocity u=110 m//s and gets embeded in it almost immediately. The impluse imparted carries the combined mass up the incline and finally lands on the horizontal level with the horizontal base. If the length of the incline is I=1.8 m and the incline offers a coefficient of kinetic friction 0.5 to the sliding of the mass, find the horizontal distance from the base of the incline to the point of landing of the combined mass. Assume the contact of the incline with the horizontal plane is smooth and mass is not jerked when starts up on incline plane.

A man is standing on a road and observes that rain is failing at angle 45^(@) with the vertical. The man starts running on the road with constant acceleration 0.5m//s^(2) . After a certain time from the start of the motion, it appears to him that rain is still falling at angle 45^(@) with the vertical, with speed 2sqrt(2)m//s . Motion of the man is in the same vertical plane in which the rain is falling. Then which of the following staement(s) are true.

A man is standing on a road and observes that rain is failing at angle 45^(@) with the vertical. The man starts running on the road with constant acceleration 0.5m//s^(2) . After a certain time from the start of the motion, it appears to him that rain is still falling at angle 45^(@) with the vertical, with speed 2sqrt(2)m//s . Motion of the man is in the same vertical plane in which the rain is falling. Then which of the following staement(s) are true.

Two persons, A of mass 60 kg and B of mass 40 kg , are standing on a horizontal platform of mass 50 kg . The platform is supported on wheels on a horizontal frictionless surface and is initially at rest. Consider the following situations. (i) Both A and B jump from the platform simultaneously and in the same horizontal direction. (ii) A jumps first in a horizontal direction and after a few seconds B also jumps in the same direction. In both the situations above, just after the jump, the person ( A or B ) moves away from the platform with a speed of 3 m//s relative to the platform and along the horizontal. Final speed of the platform in situation (i), i.e., just after both A and B have jumped will be a.