Title 03. MOTION IN A STRAIGHT LINE (E).pdf ✅

(1) Both assertion and reason are correct and reason is the correct ex‐ planation of assertion (2) Both assertion and reason are correct but reason is not the correct explanation of assertion (3) Assertion is correct but reason is incorrect. (4) Assertion is incor‐ rect but reason is correct. 11. Match the Column I and Column II Column I Column II A. Displacement P. Slope of graph B. Velocity Q. Slope of tangent to curve C. Acceleration R. Area under curve D. Instantaneous velocity S. Slope of graph (1) A - S, B - Q, C - P, D-R (2) A - Q, B - S, C - R, D-P (3) A - R, B - P, C - S, D-Q (4) A - Q, B - S, C - P, D-R 12. Velocity of a body starting from rest is shown in the diagram. Find the displacement and distance travelled by the body. From to (1) (2) (3) (4) 13. The displacement of a particle as a function of time is in fig. The graph indicates that (1) The particle starts with a certain velocity, but the motion is re‐ tarded and finally the particle stops. (2) The velocity of par‐ ticle is constant throughout motion. (3) The acceleration of the particle is constant throughout motion. (4) The particle starts with constant velocity, the motion is acceler‐ ated and finally the par‐ ticle moves with an‐ other constant velocity. 14. A bullet emerges from a barrel of length with a speed of . Assuming contant ac‐ celeration, the approximate time that it spends in the barrel after the gun is fired is (1) (2) (3) (4) 15. Statement A : The acceleration of an object at a particular time is the slope of the velocity -time graph at that in‐ stant of time. Statement B : For uniform motion acceleration is (+)ve. (1) Statement A is cor‐ rect but Statement B is incorrect. (2) Statement A is in‐ correct but Statement B is correct. (3) Both Statements are correct. (4) Both Statements are incorrect. 16. The acceleration of a particle starting from rest varies with time according to relation . The velocity of the particle after a time will be (1) (2) (3) (4) 17. A point traversed of the circle of radius in time . The magnitude of the average velocity of the particle in this time interval is (1) (2) (3) (4) 18. A particle moves along the sides AB, BC, CD of a square of side 25 with a constant speed of . Its average velocity is (1) (2) (3) (4) 19. A ball is thrown up vertically with a speed and at the same instant another ball is released from a height . At time , the speed of rela‐ tive to is (1) (2) (3) (4) 20. A man leaves his house for a cycle ride. He comes back to his house after half-an-hour after covering a distance of one . What is his aver‐ age speed for the ride? (1) Zero (2) 2 x − t x − t v − t v − t t = 0 s 8 s 12m, 0m 24m, 24m 24m, 0m 16m, 16m 1.2 m 640 ms −1 1 s 40 ms 400 μs 4 ms a a = αt + β t αt 2 + βt 1 2 (αt 2+β) 2 + β αt 2 2 + βt αt 2 2 3/4 th R t πR t 3πR 2t R√2 t R √2t m 15 m/s 15 m/s 10 m/s 7.5 m/s 5 m/s A u B h t A B 2u u u − gt √(u 2 − gt) km kmh −1

(3) Above this point (mentioned in option 1) (4) Cannot be determined 33. A ball is released from the top of a tower of height meters. It takes seconds to reach the ground. What is the position of the ball at sec‐ ond (1) (2) (3) (4) 34. A train of long travelling at overtakes another train long travelling at . The time taken by the first train to pass the second train is: (1) 15 second (2) 17 second (3) 16.5 second (4) 18 second 35. A body falls from a height . The ra‐ tio of distance travelled in each , during of the journey is (1) (2) (3) (4) 36. A ball thrown vertically upwards with an initial velocity of returns in . The total dis‐ placement of the ball is (1) (2) zero (3) (4) 37. When a ball is thrown up vertically with veloc‐ ity , it reaches a maximum height of . If one wishes to triple the maximum height, then the ball should be thrown with velocity (1) (2) (3) (4) 38. A man is 45 behind the bus, when the bus starts accelerating from rest with acceleration . With what minimum velocity should the man start running to catch the bus in time ? (1) (2) (3) (4) 39. A horizontal bridge is built across a river. A stu‐ dent standing on the bridge throws a small ball vertically upwards with a velocity The ball strikes the water surface after . The height of bridge above water surface is ( Take ) (1) (2) (3) (4) 40. A car moves from to with a speed of 30 and from to with a speed of 20 . What is the average speed of the car? (1) (2) (3) (4) 41. The coordinates of a moving particle at any time are given by and . The speed of the particle at time is given by: (1) (2) (3) (4) 42. Two trains, each 50 long are travelling in op‐ posite direction with velocity 10 and 15 . The time of crossing is (1) (2) (3) (4) 43. A bullet fired into a fixed target loses half of its velocity after penetrating . How much fur‐ ther it will penetrate before coming to rest as‐ suming that it faces constant resistance to motion (1) (2) (3) (4) 44. A particle starts with a velocity of and moves in a straight line with a retardation of . The first time at which the particle is from the starting point is (1) (2) (3) (4) 45. Acceleration time graph is given below. If the body started from zero velocity find out the final velocity after 3 seconds of motion in a straight line. (1) (2) (3) (4) h T T 3 metersfrom the ground 8h 9 metersfrom the ground 7h 9 metersfrom the ground h 9 metersfrom the ground 17h 9 200 m 50 m/s 130 m 30 m/s h = 200 m 2 s t = 0 to t = 6 s 1 : 4 : 9 1 : 2 : 4 1 : 3 : 5 1 : 2 : 3 1.4 ms−1 2s 22.4 cm 44.8 m 33.6 m v0 h √3 v0 3v0 9v0 3/2v0 m 2.5 ms −2 B t = 6s 16 ms −1 12 ms −1 15 ms −1 14 ms −1 4 ms −1 . 4s g = 10 ms −2 60 m 64 m 68 m 56 m A B kmph B A kmph 50 kmph 25 kmph 10 kmph 24 kmph t x = αt 3 y = βt 3 t 3t√α2 + β 2 3t 2√α2 + β 2 t 2√α2 + β 2 √α2 + β 2 m m/s m/s 4s 2s 2√3s 4√3s 3 cm 1.0 cm 1.5 cm 2.0 cm 3.0 cm 2 ms −1 0.1 ms −2 15 m 10 s 20 s 30 s 40 s 10 m/s 20 m/s 15 m/s 5 m/s