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1, Preeti reached the metro station and found, that the escalator was not working. She, walked up the Stationary escalator in time, t;. On other days, if she remains stationary, on the moving escalator, then the escalator, takes her up in time t,. The time taken by, her to walk up on the moving escalator will, _ +t te mien, (ay 2% fo py tite tite. , a 9 oe Orn (Bt, —t,, , 2. If the velocity of a particle is v = At + Bt*,, , where A and 8 are constants, then the, distance travelled by it between 1s and 2s, , is INEET 2016}, , (a)3A+78 (Za+Ze, a, 8 3, Ons (a) 5 A+ 48, , 3. Two cars P and Q start from a point at the, , same time in a straight line and their, positions are represented by, Xp (t) = at + bt* and Xo (t) = ft - 07. At, , what time do the cars have the same, , velocity? INEET 2016}, a-f asf a+f f-a, Tb Os e-0 Oona sa+H, , 4. A particle of unit mass undergoes, one-dimensional motion such that its, , velocity varies according to v(x) =f x™?", , where, B and n are constants and x is the, , position of the poise bie ten of, m of x, is, , the particle as a functi ice es, , (@) -2np? x" (b) -2np* x"?, , (c) 2p? acto (d) -2np? eat, , 5. If vectors A = cos wt i+sin wt jand, , B= cos %_j + sin Sj are functions of time,, , then the value oft at which they are, orthogonal to each other, is{CBSE AIPMT 2015], , Pm a. =* t=0, =e (bo) t a (cht is (da), , 6. A stone falls freely under gravity. It covers, , distances hy, h, and h, in the first 5s, the, next 5s and the next 5s respectively. The, relation between h,,h, and h, is [NEET 2013), , )h=2h=3h (= Mahe, (6) hy = 3h, and hy = 3h, (d) hy = hy = Mg, 7. The motion of a particle along a straight, line is described by equation, - x=8+12t-43, , where, x is in metre and t in sec. The, retardation of the particle when its velocity, becomes zero, is ' [CBSE AIPMT 2012}, (a) 24ms~* (o) zero (¢) 6 ms (d) 12ms~?

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8. A boy standing at the top of a tower of 20 m, height drops a stone. Assuming, g = 10 ms~,, the velocity with which it hits the ground is, (a) 20 ms [CBSE AIPMT 2011], (b) 40 ms, (c) 5 mis, (d) 10 ms, , 9. A body is moving with velocity 30 m/s, towards East. After 10s, its velocity becomes, 40 m/s towards North. The average, acceleration of the body is [CBSE AIPMT 2071], (a) 7m/s? (0) V7 m/s? (c) Sm/s® (d) 1m/s*, , 10. A ball is dropped from a high rise platform, at! =0 starting from rest. After 6 s, another, ball is thrown downwards from the same, platform with a speed v. The two balls, meet at = 18 s. What is the value of v?, , (Take g = 10 ms~*) [CBSE AIPMT 2010}, (a}74ms"' (0) 55ms"? (c) 40ms~ (d) 6Oms~!, , 11. A particle moves a distance x in timet, according to the equation x =(t +5)~. The, acceleration of particle is proportional to, , [CBSE AIPMT 2010], (a) (velocity)/2 (b) (distance?, (c) (distancey * () (velocity)’3, , 412. A particle starts its motion from rest under 7, the action of a constant force. If the distance, covered in first 10 s is s, and that covered in, , the first 20s is s,,then [CBSE AIPMT 2009}, (a)s, =2 s, (0) s, =35,, (C)s, =45, {d) s, =s,, , 13. A bus is moving with a speed of 10 ms™ on, a straight road. A scooterist wishes to, overtake the bus in 100 s. If the bus is at a, distance of 1 km from the scooterist, with, , what speed should the scooterist chase the, bus?, , [CBSE AIPMT 2009}, (a) 20ms"' (0) 40ms™, (c) 25ms™ (4) 10ms™!, , 14. A particle moves in a straight line with a, constant acceleration. It changes its, velocity from 10 ms”! to 20 ms~ while, passing through a distance 135 m int sec., The value of t is (CBSE AIPMT 2008), (a) 10 (b) 1.8 {c) 12 (d)9, , 15. A particle shows distance-time ‘3, given in this figure. The maxinens ? me, instantaneous velocity of the Particle jg, around the point ICBSE AIPM 2099), , , , ™, , , , (a)8 (b)C (c)D (dA, 16. The distance travelled by a particle starti, em Test and moving with an acceleration, z ms”, in the third-second is, {CBSE AIPMT 2008], , (6m —(b)4m (6) 2m (92m, , ., 17. A particle moving along x-axis has, acceleration { at time t, given by, , ], , 4, , f=fo(i-t where f, and T are, , constants. The particle att = 0 has zero, velocity, In the time interval between t =0, and the instant when f =0,the particle's, velocity (v,) is {CBSE AIPMT 2007], , (er OA 4T CK? oe iar, , 18. A car moves from X to Y with a uniform, speed v, and returns to X with a uniform, speed v,. The average speed for this round, trip is {CBSE AIPMT 2007], , 2uyy, LL w+ Wy, eer (b) fuses rrr (d) 2, , 19, The position x of a particle w.r.t. timet, along x-axis is given by x=9t? -¢3,where, x is in metre and¢ in sec. What willbe the, position of this particle when it achieves, maximum speed along the + x direction? ;, , {CBSE AIPMT 2007], , (a) 32m (b) 54m _— (ec) Bm (d) 24m, , 20. Two bodies A (of mass 1 kg) and B (of |, mass 3 kg) are dropped from heights of 16m, and 25 m, respectively. The ratio of the time, , taken by them to reach the ground is, {CBSE AIPMT 2006], (a) -5/4 (b) 12/5 (c) 5/12 (d) 4/5 ;

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21. A particle Moves along a straight line OX., , Ata times (in second), the distance x (in, Metre) of the particle from O is given by, , x=40+121-0, How long would the particle travel before, coming to rest? (CBSE AIPMT 2006), 24m — (b) 40m ~~ () 56m (d) 16m, 22. The displacement x of a particle varies, with time fas x = ae + be!" , where a,b,, and B are positive Constants. The velocity, , of the particle will (CBSE AIPMT 2005], (a) decrease with time, , (b) be independent of Gal, (c} drop to zero when a =, (d) increase With time, , (CBSE AIPMT 2, {@) Any speed less than 19.6 ms =, , (b) Only with Speed 19.6 m/s, (c) More than 19.6 ms, (0) At least 9.8 mis, , 24, If a ball is thrown vertically upwards with, speed u, the distance covered during the last, t sec of its ascent is (CBSE AIPMT 2003), , ta)ut ~ 2 gt? (b) iu + gt)t (yut 4 ot?, , 25. A stone is thrown vertically upwards., When stone is at a height half of its, maximum height, its speed is 10 m/s, then, the maximum height attained by the stone, is(g =10 m/s*) {CBSE AIPMT 2001}, (a) 8m (b) 10m ()}15m = (6) 20m, , 26. A particle moves along a straight line such, that its displacement at any time t is given, by s=3t° +70? +14t +5,.The acceleration, of the particle at t =1s is [CBSE AIPMT 2000], (a) 18mvs* (b) 32mm/s* (c) 29m/s* (d) 24 mis?, , 27. A car moving with a speed of 40 km/h can, be stopped after 2 m by applying brakes. If, the same car is moving with a speed of 80, , what is the minimum stopping, hee [CBSE AIPMT 1998], , (a)8m (b) 2m (c)4m (d)6m, , 28, If a car at rest, accelerates uniformly to a, , speed of 144 km/h in 20s, it covers a, , distance of [CBSE AIPMT 1997], (a) 2880 m (bo) 1440 m, (c) 400 m (d) 20 m, , 29, 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 equals to, (CBSE AIPMT 1997], , a, (d) m5, , (a) zero, 2a, (c) 7, 30. If a ball is thrown vertically upwards with a, , velocity of 40 m/s, then velocity of the ball, after 2s will be(g = 10 m/s*), , [CBSE AIPMT 1996], (a) 15 mys (0) 20 mis, (c) 25 ms (d) 28 mis, , 31. Three different objects of masses Im,, and m, are allowed to fall from rest and, from the same point O along three different, frictionless paths. The speeds of the three, objects on reaching the ground will be in, , the ratio of [CBSE AIPMT 1995], (a) m, :m,:m, (0) m, :2m, : 3m,, (o)4:4:4 @t:t1.4, , m m mM, , 32. The water drops fall at regular intervals, from a tap 5 m above the ground, The third, drop is leaving the tap at an instant when, the first drop touches the ground. How far above the ground is the second drop at that, instant ? (Take g = 10 m/s*), , ICBSE AIPMT 1995), (@)1.25m (6)250m (375m (d) 5.00m, , 33. A body is thrown vertically upwards, the ground, It Teaches a st ar, of 20 m in 5 s. After what time it will reach, the ground from its maximum height, Position ? [CBSE AIPMT 1995}, (25s (ss ()10s (25s, , 54. A stone released with zero velocity from, oe of a tower, reaches the ground We}, =10, 8. The height of the tower is ‘(8 “PMT 1995], (8) 20m, , (b)40m (80m _— (a) 160m

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55. A car accelerates from rest at a —, rate a for some time, after whic —_, decelerates at a constant rate B any =, to rest. If the total time elapsed oo ~~, the maximum velocity acquired by the c, , S [CBSE AIPMT 1994}, a? +B? t (b) a? -p° t, (a) ( a af, (a+ B)t id} pa, a : (: +B, , 56. A particle moves along a straight line such, that its displacement at any time t is given, bys=(@ -6 +3t+4)m, The velocity when the acceleration is zero,, , is (CBSE AIPMT 1994], (a) ams” (b) -12 ms*', (c) 42ms (d) -9ms"*, , 37. The displacement-time graph of moving, particle is shown below,, , Time, , The instantaneous velocity of the particle, , is negative at the point (CBSE AIPMT 1994}, (ajD (op F, {c)c (deé, , 38. A body starts from Test, what is the ratio of, the distance travelled by the body during, , the 4th and 3rd 5? (CBSE AIPMT 1993}, 7 5, , (a) 5 (b) 7, 7 3, , ic) — =, , {c) z (d) =, , 39. A train of 150 m length is going towards, North direction at a speed of 10 m/s. A, Parrot flies at the speed of 5 m/s towards, South direction parallel to the railways, track. The time taken by the Parrot to cross, the train is (CBSE Alp 1992), , (a) 125 (0) 8s (c) 15s (4) 105, , 40. Which of the following curves does not, represent motion in one dimension?, ICBSE AIPMT 1999), v v, , (a) (0) >, , t W—_____,,, , “lO «, DP, 41. A bus travelling the first one-third distance, at a speed of 10 km/h, the next one-third at, 20 km/h and the last one-third at 60 km/h., The average speed of the bus is, ICBSE AIPMT 1991), (2) 9knvh (b) 16 kervh (c) 18 krrvh (d) 48 kv, 42. A car moves a distance of 200 m. It covers, the first-half of the distance at speed, 40 km/h and the second-half of distance at, speed vkm/h . The average speed is, 48 km/h. Find the value of pv,, ICBSE AIPMT 1997], (2) 56 km/h (b) 60 kv {c) 50 krvh (d) 48 kmh, 43. A body dropped from top of a tower fall, through 40 m during the last two seconds, of its fall. The height of tower is, (g = 10 m/s*) ICBSE AIPMT 1991], (60m = (b) 45m (c)80m = (d) 50m, 44. A car covers the first-half of the distance, between two places at 40 knv/h and other, half at 60 km/h. The average speed of the, car is {CBSE AIPMT 1990], (8) 40 krrvh (b) 48 kev (c) 50 kervh (d) 60 kv, , 45. What will be the ratio of the distance moved, by a freely falling body from rest in 4th and, 5th second of journey? (CASE AIPMT 1989}, (a)4:5 (b) 7:9 (C) 16:25 (d)t:4, , 46. A car is moving along a straight road witha, uniform acceleration. It passes through two, Points P and Q separated by a distance with, velocity 30 km/h and 40 km/h respectively., The velocity of the car midway between P, , , , and Qis (CBSE AIPMT 1988], (a) 33.3 knvh (b) 20 v2 knvh, (c) 25 V2 km/h (0) 0.35 kevh, , i, }, ;, {