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MOTION IN A STRAIGHT LINE, , 65. Aparticle is moving eastwards with a velocity of 5 ms |,, , 66., , 67., , 68., , 69., , 70., , 1., , , , In 10 seconds the velocity changes to § ms”! northwards,, The average acceleration in this time is, , l a), (a) sans ~ towards north, , l ud, (b) — ms ~ towards north - east, , V2, , l m, (c) en * towards north - west, , (d) zero, , It is given that t= px? + qx, where x is displacement and t, is time. The acceleration of particle at origin is, , 2p 2q 2p 2, eg |), Pg 24, q° p> e q3 (d) 5, , An object, moving with a speed of 6.25 m/s, is, , t d, decelerated at a rate given by: - =~2.5Vv where vis the, , instantaneous speed. The time taken by the object, to come, to rest, would be, , (a) 28 (b) 4s (c) 8s (dG) 1's, , The position ofa particle along the x-axis at certain times, is given below, , Pao [Oz] 3), xin) |-2 [0 [6 16, , Which of the following describes the motion correctly?, (a) uniform acceleration, , (b) uniform retardation, , (c) non-uniform acceleration, , (d) there is not enough data for generalization, , A bike accelerates from rest at a constant rate 5 m/s? for, some time after which it decelerates at a constant rate 3, m/s? to come to rest. If the total time elapsed is 8 second,, the maximum velocity acquired by the bike is given by, (a) 5 m/s (b) 10 m/s (c) 12 m/s (d) 15 m/s, A metro train starts from rest and in 5 s achieves 108, km/h. After that it moves with constant velocity and, comes to rest after travelling 45 m with uniform, retardation. Iftotal distance travelled is 395 m, find total, time of travelling., , (225 (5). 153s (c) 9s @) 17.2 s, Acar, starting from rest, accelerates at the rate f through, a distance S, then continues at constant speed for time ¢, , and then decelerates at the rate . to come to rest. If the, , total distance traversed is 15 S , then, , i, , 72., , 735, , 74,, , 13, , 76., , 77., , 78., , 79., , ty and uniform, , A particle starting with certain initial veloci, first 3 seconds, , acceleration covers a distance of 12 m in, and a distance of 30 m in next 3 seconds, The initial velocity, of the particle is, , (a) 3ms! (b) 2.5 ms! (c) 2 ms 1 (d) 1 ms, , Topic 3: Relative Motion in One Dimension, Two trains, each 40 m long are travelling in opposite, direction with equal velocity 20 m/s. The time of crossing, is, , (a) Is (b) 2s, , (c) 3s (d) Zero, , The relative velocity V,p or Vp, Of two bodies A and B, may be, , I. greater than velocity of body A, , II. greater than velocity of body B, , Il. less than the velocity of body A, , IV. less than the velocity of body B, , (a) Land ILonly (b) [land IV only, (c) I, Iand Il only (d) 1,0, Mand IV, The graph shown below represent, , s object B, § Xo object A, 8 Xo1, , Time —>, , (a) Aand Bare moving with same velocity in opposite, directions, , (b) velocity of B is more than A in same direction, , (c) velocity of A is more than B in same direction, , (d) velocity of A and B is equal in same direction, , The speed of a swimmer in still water is 16 m/s. The, , speed of river water is 8 m/s and is flowing due east., , If he is standing on the south bank and wiches to cross, , the river along the shortest path. The angle at which he, , should make his strokes w.r.t. north is given by, , (a) 60° west (b) 45° west, , (c) 30° west (d) 02, , A train of 150 m length is going towards north direction, , at a speed of 10 ms~!. A parrot flies at a speed of 5 ms”, , ! towards south direction parallel to the railway track., , The time taken by the parrot to cross the train is equal to, , (A).o12s (b) 8s (e)al5:s (d) 10s, , A boat takes 2 hours to travel 8 km and back in still water, , lake. With water velocity of 4 km h7!, the time taken for, , going upstream of 8 km and coming back is, , (a) 160 minutes (b) 80 minutes, , (c) 100 minutes (d) 120 minutes, , A car is moving on a road and rain is falling vertically., , Select the correct answer., , (a) The rain will strike the back screen only, , (b) The rain will strike the front screen only, , (c) The rain will strike both the screens, , (d) The rain will not strike any of the screens