1 NSEP Batch 2024 Physics Kinematics 1. Statement-1: The instantaneous velocity is always 3. DPP-14 Statement-1: Two stones are simultaneously projected tangential to path and from level ground from same point with same speeds Statement-2: The slope of position-time graphs but different angles with horizontal. Both stones move represent the velocity. in same vertical plane. Then the two stones may collide (A) Statement–1 is True, Statement–2 is True; in mid air and Statement–2 is a correct explanation for Statement-2: For two stones projected simultaneously Statement–1. from same point with same speed at different angles with horizontal, their trajectories must intersect at some (B) Statement–1 is True, Statement–2 is True; Statement–2 is not a correct explanation for point except projection point. Statement–1. (A) Statement-1 is true, statement-2 is true and statement-2 (C) Statement–1 is True, Statement–2 is False. is correct explanation for statement-1. (D) Statement–1 is False, Statement–2 is True. (B) Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for 2. Statement–1: For motion in parabolic path, but dv dt dv dt 0 statement-1. (C) Statement-1 is true, statement-2 is false (D) Statement-1 is false, statement-2 is true. may be zero and Statement–2: Acceleration in a body may be due 4. Statement -1: Two projectiles having same range must to change in direction of velocity only. have the same time of flight. (A) Statement–1 is True, Statement–2 is True; Statement-2: Horizontal component of velocity is Statement–2 is a correct explanation for constant in projectile motion under gravity. Statement–1. (A) Statement-1 is true, statement-2 is true and (B) Statement–1 is True, Statement–2 is True; statement-2 Statement–2 is not a correct explanation for statement-1. Statement–1. (C) Statement–1 is True, Statement–2 is False. (D) Statement–1 is False, Statement–2 is True. is correct explanation for (B) Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1. (C) Statement-1 is true, statement-2 is false. (D) Statement-1 is false, statement-2 is true. 2 5. Statement-1: When a particle is observed from two 8. Statement-1: Three projectiles are moving in different different inertial reference frames the general shape of paths in the air. Vertical component of relative velocity the trajectory of particle is same. between any of the pair does not change with time as Statement-2: The position vector of a particle and its long as they are in air. Neglect the effect of air friction. velocity are relative quantities. Statement-2: Relative acceleration between any of (A) Statement-1 is True, Statement-2 is True, the pair of projectiles is zero. Statement-2 is a correct explanation for (A) Statement-1 is true, statement-2 is true and statement-1 statement-2 (B) Statement-1 is True, Statement-2 is True, is correct explanation for statement-1. Statement-2 is NOT a correct explanation for (B) Statement-1 is true, statement-2 is true and Statement-1 statement-2 is NOT the correct explanation for (C) Statement-1 is True, Statement-2 is False statement-1. (D) Statement-1 is False, Statement-2 is True (C) Statement-1 is true, statement-2 is false. (D) Statement-1 is false, statement-2 is true 6. Statement-1: The trajectory of a projectile w.r.t. another projectile is a straight line and 9. Statement-1: The magnitude of velocity of two boats Statement 2: The relative velocity of a projectile relative to river is same. Both boats start w.r.t. another projectile is constant. simultaneously from same point on one bank. They (A) Statement-1 is true, statement-2 is true and may reach opposite bank simultaneously moving along statement-2 is correct explanation for different straight line paths. statement-1. Statement-2: For above boats to cross the river in same (B) Statement-1 is true, statement-2 is true and time, the component of their velocity relative to river in statement-2 is NOT the correct explanation for direction normal to flow should be same. statement-1. (A) Statement-1 is true, statement-2 is true and (C) Statement-1 is true, statement-2 is false. statement-2 (D) Statement-1 is false, statement-2 is true. statement-1. is correct explanation for (B) Statement-1 is true, statement-2 is true and 7. Statement-1: If separation between two particles does statement-2 is NOT the correct explanation for not change then their relative velocity will be zero. statement-1. Statement-2: Relative velocity is the rate of change (C) Statement-1 is true, statement-2 is false. of position of one particle with respect to another. (D) Statement-1 is false, statement-2 is true (A) Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1 (B) Statement-1 is true, statement-2 is true and 10. A boy holding a flag when is standstill, the flag flutters in 53° north of west and when he starts running westwards with velocity 6 m/s, the flag flutters in the statement-2 is NOT the correct explanation for north. Wind velocity is closest to statement-1. (A) 8 m/s, 53° north of west (C) Statement-1 is true, statement-2 is false (B) 8 m/s, 53° east of south (D) Statement-1 is false, statement-2 is true. (C) 10 m/s, 53° north of west (D) 10 m/s, 53° east of south 3 11. 12. Two boats were going down stream with different velocities. When one overtook the other a plastic ball was dropped from one of the boats. Some time later both boats turned back simultaneously & went at the same speeds as before (relative to the water) towards the spot where the ball had been dropped. Which boat will reach the ball first? (A) the boat which has greater velocity (relative to water) (B) the boat which has lesser velocity (relative to water) (C) both will reach the ball simultaneously (D) cannot be decided unless we know the actual values of the velocities and the time after which they turned around. 14. Two transparent elevator cars A and B are moving in front of each other. Car A is moving up and retarding at a1, while car B is moving down and retarding at a2. Person in car A drops a coin inside the car. What is the acceleration observed by person in car B. (A) g + a2 downward (B) g – a1 – a2 downward (C) g – a1 + a2 downward (D) None of these 15. An airplane flies along a straight path from town A to town B, 500 km away. Town B is due east of town A and a strong wind blows from north to south at 300 km/hr. If the plane's airspeed is 900 km/hr, which of the following statements is true? Two trains, which are moving along different tracks in opposite directions towards each other, are put on the same track by mistake. Their drivers, on noticing the mistake, start slowing down the trains when the trains are 300 m apart. Graphs given below show their velocities as function of time as the trains slow down. The separation between the trains after both have stopped, is: (A) Trip time is 5 hr. 3 8 (B) Plane's speed with respect to ground is 600 km/hr. (C) Plane's heading is 30° North of East. (D) None of the above 16. Two particles A and B moving in x-y plane are at origin at t = 0 sec. The initial velocity vectors of A and B are u A = 8iˆ m/s and u B = 8ˆj m/s. The acceleration of A and B are constant and are a A = −2iˆ m/s2 and a B = −2ˆj m/s2. Column-I gives (A) 120 m (C) 60 m (B) 280 m (D) 20 m certain statements regarding particle A and B. Column-II gives corresponding results. Match the statements in column-I with corresponding results in column-II. Column-I Column-II (A) 13. A ball thrown down the incline strikes at a point on the incline 25m below the horizontal as shown in the figure. If the ball rises to a maximum height of 20m above the point of projection, the angle of projection a (with horizontal x axis) is The time (in seconds) (P) 16 2 at which velocity of A relative to B is zero (B) The distance (in metres) (Q) 8 2 between A and B when their relative velocity is zero (C) The magnitude of relative (R) 8 velocity of A and B at the (A) tan–1 4 (C) tan–1 3 3 2 (B) tan–1 (D) tan–1 3 instant they are at same 4 position. 2 3 (S) 4 4 17. A ball is fired from point P, with an initial speed of 50 m/s at angle of 53°, with the horizontal. At the same time, a long wall AB at 200 m from point P, starts moving towards P with a constant speed of 10 m/s. (a) Find the time when the ball collides with wall AB. (b) Find the coordinate of point C, where the ball collides. Taking point P as origin? 5 Answer Key 1. 2. 3. 4. 5. 6. 7. 8. 9. (B) (A) (C) (D) (D) (A) (D) (A) (A) 10. 11. 12. 13. 14. 15. 16. 17. (C) (C) (D) (A) (A) (A) (A)-S (B)-P (C)-Q (a) t = 5 sec., (b) P(150, 75) PW Web/App - https://smart.link/7wwosivoicgd4 Library- https://smart.link/sdfez8ejd80if