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Motion in A Straight Line

39 questions · Physics · NEET
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Motion in A Straight Line

39 questions · Physics · NEET

  1. In some appropriate units, time (t) and position (x) relation of a moving particle is given by t=x2+x. The acceleration of the particle is2025 · Q146 · MCQ
  2. Two cities X and Y are connected by a regular bus service with a bus leaving in either direction every T min. A girl is driving scooty with a speed of 60 km/h in the direction X to Y notices that a bus goes…2025 · Q153 · MCQ
  3. The velocity (v)− time (t) plot of the motion of a body is shown below: The acceleration (a)− time (t) graph that best suits this motion is : Includes diagram2024 · Q191 · MCQ
  4. A particle is moving along x-axis with its position (x) varying with time (t) as x=αt4+βt2+γt+δ. The ratio of its initial velocity to its initial acceleration, respectively, is:2024 · Q165 · MCQ
  5. The position of a particle is given by r(t)=4ti^+2t2j^​+5k^ where t is in seconds and r in metre. Find the magnitude and direction of velocity v(t), at t=1 s, with respect…2023 · Q134 · MCQ
  6. A vehicle travels half the distance with speed v and the remaining distance with speed 2v. Its average speed is :2023 · Q145 · MCQ
  7. The position-time (x - t) graph for positive acceleration is2022 · Q177 · MCQ
  8. The ratio of the distances travelled by a freely falling body in the 1st, 2nd, 3rd and 4th second2022 · Q150 · MCQ
  9. The displacement-time graphs of two moving particles make angles of 30∘ and 45∘ with the x-axis as shown in the figure. The ratio of their respective velocity is Includes diagram2022 · Q156 · MCQ
  10. A small block slides down on a smooth inclined plane, starting from rest at time t = 0. Let Sn be the distance travelled by the block in the interval t = n − 1 to t = n. The the ratio Sn+1​Sn​​ is :2021 · Q156 · MCQ
  11. A ball is thrown vertically downward with a velocity of 20 m/s from the top of a tower. It hits the ground after some time with a velocity of 80 m/s. The height of the tower is : (g = 10 m/s2)2020 · Q131 · MCQ
  12. The speed of a swimmer in still water is 20 m/s. The speed of river water is 10 m/s and is flowing due east. If he is standing on the south bank and wishes to cross the river along the shortest path, the angle at which he should make his…2019 · Q150 · MCQ
  13. Preeti reached the metro station and found that the escalator was not working. She walked up the sationary escalator in time t1. On another days, if she remains stationary on the the moving escalator, then the escalator takes her up in…2017 · Q145 · MCQ
  14. If the velocity of a particle is v = At + Bt2, where A and B are constants, then the distance travelled by it between 1 s and 2 s is2016 · Q160 · MCQ
  15. 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 + bt2) and xQ(t) = (ft − t2). At what time do the cars have the same velocity ?2016 · Q141 · MCQ
  16. A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to v(x)=βx−2n, where β and n are constants and x is the position of the particle. The acceleration of…2015 · Q135 · MCQ
  17. The displacement 'x' (in meter) of a particle of mass 'm' (in kg) moving in one dimension under the action of a force, is related to time 't' (in sec) by t = x​+3. The displacement of the particle when its velocity is zero, will be2013 · Q145 · MCQ
  18. A stone falls freely under gravity. It covers distances h1, h2 and h3 in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between h1, h2 and h3 is2013 · Q142 · MCQ
  19. The motion of a particle along a straight line is described by equation x = 8 + 12t − t3 where x is in metre and t in second. The retardation of the particle when its velocity becomes zero is2012 · Q153 · MCQ
  20. A particle covers half of its total distance with speed v1 and the rest half distance with speed v2. Its average speed during the complete journey is2011 · Q107 · MCQ
  21. A boy standing at the top of a tower of 20 m height drops a stone. Assuming g = 10 m s−2, the velocity with which it hits the ground is2011 · Q145 · MCQ
  22. A particle moves a distance x in time t according to equation x = (t + 5)−1. The acceleration of particle is proportional to2010 · Q165 · MCQ
  23. A ball is dropped from a high rise platform at t = 0 starting from rest. After 6 seconds another ball is thrown downwards from the same platform with a speed v. The two balls meet at t = 18 s. What is the value of v? (Take g = 10 m/s2)2010 · Q166 · MCQ
  24. A bus is moving with a speed of 10 ms−1 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 ?2009 · Q153 · MCQ
  25. A particle starts its motion from rest under the action of a constant force. If the distance covered in first 10 seconds is S1 and that covered in the first 20 seconds is S2, then2009 · Q154 · MCQ
  26. A particle moves in a straight line with a constant acceleration. It changes its velocity from 10 ms−1 to 20 ms−1 while passing through a distance 135 m in t second. The value of t is2008 · Q147 · MCQ
  27. The distance travelled by a particle starting from rest and moving with an acceleration 34​m s−2, in the third second is2008 · Q148 · MCQ
  28. A particle moving along x-axis has acceleration f, at time t, given by f = f0(1−Tt​), where f0 and T are constants.The particle at t = 0 has zero velocity. In the time interval between t = 0 and the instant…2007 · Q129 · MCQ
  29. A car moves from X to Y with a uniform speed vu and returns to Y with a uniform speed vd. The average speed for this round trip is2007 · Q130 · MCQ
  30. The positions x of a particle with respect to time t along x-axis is given by x = 9t2 − t3 where x is in metres and t in seconds. What will be the position of this particle when it achieves maximum speed along the + x direction ?2007 · Q131 · MCQ
  31. Two bodies A (of mass 1 kg) and B (of mass 3 kg) are dropped from heights of 16 m and 25 m, respectively. The ratio of the time taken by them to reach the ground is2006 · Q152 · MCQ
  32. A particle moves along a straight line OX. At a time t (in seconds) the distance x (in metres) of the particle from O is given by x = 40 + 12t − t3. How long would the particle travel before coming to rest ?2006 · Q153 · MCQ
  33. A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 seconds for every circular lap. The average velocity and average speed for each circular lap respectively is2006 · Q154 · MCQ
  34. A ball is thrown vertically upward. It has a speed of 10 m/sec when it has reached one half of its maximum height. How high does the ball rise? (Take g = 10 m/s2.)2005 · Q153 · MCQ
  35. The displacement x of a particle varies with time t as x = ae−at + beβt, where a, b, α and β are positive constants. The velocity of the particle will2005 · Q154 · MCQ
  36. A man throws balls with the same speed vertically upwards one after the other at an interval of 2 seconds. What should be the speed of the throw so that more than two balls are in the sky at any time ? (Given g = 9.8 m/s2)2003 · Q152 · MCQ
  37. If a ball is thrown vertically upwards with speed u, the distance covered during the last t seconds of its ascent is2003 · Q175 · MCQ
  38. A particle is thrown vertically upward. Its velocity at half of the height is 10 m/s, then the maximum height attained by it (g = 10 m/s2)2001 · Q149 · MCQ
  39. Motion of a particle is given by equation s = (3t3 + 7t2 + 14t + 8) m. The value of acceleration of the particle at t = 1 sec is2000 · Q145 · MCQ