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DEPARTMENT OF PHYSICS, , Physics, , , , Time : 1.00 hr xil Marks : 20, , , , , , Description Of Motion In One Dimension |, , , , , , 1) Two boys are standing at the ends A and B of a ground where AB = a. The boy at B starts, running in a direction perpendicular to AB with velocity y,. The boy at A starts running, simultaneously with velocity v and catches the other boy in a time t, where t is, , A) u/ \? +ve B) oP? v2) C) a/(v-v4) D) a/fv+vy), , 2) Acar travels half the distance with constant velocity of 40 kmph and the remaining half with a, constant velocity of 60 kmph. The average velocity of the car in kmph is, , A) 40 B) 45 Cc) 48 D) 50, , 3) The velocity of a body depends on time according to the equation v = 20 + 0.1t”. The body is, undergoing, , A) Uniform acceleration B) Uniform retardation, , C) Non-uniform acceleration D) Zero acceleration, , 4) The displacement of a particle is given by y = a + bt + ct® — dt‘, The initial velocity and, acceleration are respectively, , A) b, 4a B) —», 2c C) b, 2c D) 2c, —4d, , 5) Acar moving with a speed of 40 km/h can be stopped by applying brakes after atleast 2 m. If, the same car is moving with a speed of 80 km/h, what is the minimum stopping distance, , A)8m B)2m c)4m D)ém, , 6) A boggy of uniformly moving train is suddenly detached from train and stops after covering, some distance. The distance covered by the boggy and distance covered by the train in the, same time has relation, , A) Both will be equal B) First will be half of second, , C) First will be 1/4 of second D) No definite ratio, , 7) A body starts from rest. What is the ratio of the distance travelled by the body during the 4th, and 3rd second, , 7 5 7 3, As B)5 C5 D)5, , 8) The acceleration "a* in m/s? of a particle is given by a = 3t® + 2t + 2 where t Is the time. If the, particle starts out with a velocity u = 2 m,’s at t = 0, then the velocity at the end of 2 second is
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A) 12 m's B) 18 m/s C) 27 mis D) 36 ms, , 9) A particle moves along a straight line such that its displacement at any time t is given by, S = t3-6t? + 3t + 4 metres . The velocity when the acceleration Is zero Is, , A) 3ms7! B) -12ms~! C) 42ms"! D) -9ms"', 10) For a moving body at any instant of time, , A) If the body is not moving, the acceleration is necessarily zero, , B) If the body is slowing, the retardation is negative, , C) If the body is slowing, the distance is negative, , D) If displacement, velocity and acceleration at that instant are known, we can find the, , displacement at any given time in future, , 11) The position x of a particle varies with time t as x = at*-bt*. The acceleration of the particle, will be zero at time t equal to, , a 2a a, A) b B) 3 c) 3b D) Zero, , 12) The motion of a particle is described by the equation x — a + bt® where a = 15 cm and b =3, cm's*. Its instantaneous velocity at time 3 sec will be, , A) 36 cm/sec B) 18 cm/sec C) 16 cm/sec D) 32 cm/sec, , 13) A body travels for 15 sec starting from rest with constant acceleration. If it travels distances, $1, Se and Sz in the first five seconds, second five seconds and next five seconds respectively, the relation between S;, S2 and S3 is, , e e ~ tS. 1 os 1. te, A) S; =S2=Sg B) 5S, = 3S) = Sy ©) S; = 552 = 5S D) S; = 582 = 58, , 14) A body is moving according to the equation x = at + bt? — ct where x = displacement and, a, b and c are constants. The acceleration of the body is, , A) a+2bt B) 2b + Get C) 2b—6ct D) 3b — Get?, , 15) The distance travelled by a particle is proportional to the squares of time, then the particle, travels with, , A) Uniform acceleration B) Uniform velocity, , C) Increasing acceleration D) Decreasing velocity, 16) Acceleration of a particle changes when
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A) Direction of velocity changes B) Magnitude of velocity changes, , C) Both of above D) Speed changes, , 17) The motion of a particle is described by the equation u = ct. The distance travelled by the, particle in the first 4 seconds, , A) 4a B) 12a C) 6a D) 8a, , 18) The relation 3t — 3x ~ 6 describes the displacement of a particle in one direction where x is, in metres and t in sec. The displacement, when velocity is zero, is, , A) 24 metres B) 12 metres C) 5 metres D) Zero, , 19) The average velocity of a body moving with uniform acceleration travelling a distance of 3.06, m is 0.34 ms '. If the change in velocity of the body is 0.18ms ‘ during this time, its uniform, acceleration is, , A) 0.01 ms~* B) 0.02 ms~* C) 0.03 ms~* D) 0.04 ms~*, , 20) Equation of displacement for any particle is s = 3t® 4. 7t* +. 14t + 8m. Its acceleration at time, t=1secis, , A) 10 mis* B) 16 mis® C) 25 m's* D) 32 mis*