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DEPARTMENT OF PHYSICS, , Physics, , , , Time : 1.00 hr xl Marks : 20, , , , , , Description Of Motion In One Dimension |, , , , , , 1) The relation between time t and distance x is t = ax* + bx where a and b are constants. The, acceleration is :, , A) -2abv* B) 2bv5 C) -2av8 D) 2av?, 2) A body is projected vertically upwards and attains maximum height H. If the time to reach, height "h" and H are in the ratio of 1:3, then the ratio a is:, 4 3 5 3, A) 3 B)G c) 3 D) 5, , 3) A-stone weighing 2 kg falls from the top of a tower 40 metre heigh and burries itself Im deep, in sand. The time of penetration is : (Take g = 9.8 m s~* ), , 1 1 1, A) rT B) 73° Cc) 45 D) None of these, , 4) What is the maximum height of a stone thrown vertically upwards if its velocity is halved in 2, second ? (Take g=10 m s~* ), , A) 20m B) 40m C) 80m D) 100m, , 5) A bird is flying to and fro between two cars moving with constant speeds on a straight, smooth road. One car is moving at 18 km/h while other is moving towards the other at 27, km/h. The bird starts moving from the first car towards the other with a speed of 36 km/h, when the distance of separation between the two is 36 km. What is the displacement of the, bird when the two cars meet each other ?, , A) 18 km B) 22.6 km C) 28.8 km D) 30.2 km, , 6) Two tall buildings are standing in front of each other at a straight separations of 10 m one of, them is taller than the other by 9 m. A man is running on the roof-top of taller at a speed of 9, m/s horizontally and jumps as such in the hope that he will land on the roof of the building, with lower height. Find will he able to land ? (g = 10ms~*), , A) Yes B) No, , C) Just on head of edge D) Falls in the middle of street., , 7) A point mass initially at rest moves along x-axis. Its acceleration varies with time as, a =6t+5ms~@ . If it starts from origin, the distance covered by it in 1s is, , Aj3m B)5.5m c)3.5m D)4m

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8) The deceleration experienced by a moving motor boat after its engine is cut off is given by, , 2 = -kv" , where k Is a constant. If vy is the magnitude of the velocity at cut off, the, thagnitude of velocity at time t after the cut off Is :, , A) %o B) vp c) 2 D) voe™*!, 2 V 2vekt +1, , 9) The distance time graph of a particle at time t makes an angle of 45° with time axis. After 1, second it makes an angle of 60° with time axis, what Is the acceleration of the particle ?, , A) V3-1 B) V3+1 Cc) v3 D)1, , 10) A stone falls from rest. The total distance covered by it in the last second of its motion is, equal to the distance covered by it in the first three seconds of its motion. How long does the, stone remain in air ? (g=10 m s-*), , Aj4s B)5s C)és D)7s, , 11) The graph shown in Fig. shows the velocity v versus time t for a body.Which of the graphs, shown below represents the corresponding acceleration versus time graphs ?, , th, , }, , , , ta) (>), , tont, , | ‘ a —, jin~, , tw, I, |, | —, — Le, , , , fe) (dy, , 12) For the velocity time graph shown in the figure below the distance covered by the body in last, two seconds of its motion Is what fraction of the total distance covered by It in all the seven, seconds ?

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1 1, Ne 5;, 13) The velocity-time graph of a particle moving along a straight line is shown in Fig. The, , displacement of the body in 5 second is :, z=, , , , 2, DS, , , , A)0.Sm B)im c)2m D)3m, , 14) Displacement is x = at?—bt5 , where x is in metre and t in second. For what value of t, acceleration is zero ?, , a ae, , 3b 2b, , 15) A boy walks to his school at a distance of 6 km with constant speed of 2.5 km/h and walks, back with a constant speed of 4 km/h. His average speed for the round trip Is :, , A) B) = c) b) 3, , 24 a he! 40 en ho! Vit, A) 55 kmh 8) 5, kmn C)3 km/h D) 5 km, , 16) The position of a particle moving in a x-y plane at any instant "t" is given by x = (37-60), metres y = (t*-2t) metres. Select the correct statement., , A) Acceleration is zero att = 0 B) Velocity is zero att =0, , C) Velocity is zero at t = 1 sec. D) Velocity and acceleration are never zero., , 17) The acceleration "a" in m s = of a particle is given by a = 3 (* + 2t + 2, where t is the time. If the, particle starts with a velocity v = 2m s~' at t = 0 then velocity at the end of 2 sec is, , A)12ms"' B)18ms"' C)27ms"! D) 36ms"', , 18) The x and y co-ordinates of a particle at any instant "t" are x = 4t* + 7t;y = St where x, y are, in metres and t in seconds. The acceleration at t=5s Is :

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A) zero B) 20ms* c)e8ms 2 D) 40ms-*, , 19) A car starts from rest and moves with constant acceleration. The ratio of distance covered by, the car in nth second to that covered in n second Is :, 2n—1 n? 2n—1, ) nF Ba a Blin, 20) A particle travels half the distance with a velocity of 6 ms! . The remaining half distance is, covered with a velocity of 4 m s~' for half the time and with a velocity of 8 m s~' for the rest of, the half time. What is the velocity of the particle averaged over the whole time of motion ?, , , , A)gms! B)éms"' C)5.35m 57! D)Smst