Solved papers for NEET Physics Motion in a Straight Line / सरल रेखा में गति NEET PYQ-One Dimensional Motion

done NEET PYQ-One Dimensional Motion Total Questions - 27

• question_answer1) A particle moves along a straight line such that its displacement at any time t is given by\[s=3{{t}^{3}}+7{{t}^{2}}+14t+5\]. The acceleration of the particle at \[t=1s\] is :               [AIPMT 2000]
  A)
  18 \[m/{{s}^{2}}\]
  done clear
  B)
  32 \[m/{{s}^{2}}\]
  done clear
  C)
  29 \[m/{{s}^{2}}\]
  done clear
  D)
  24 \[m/{{s}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer2) A stone is thrown vertically upwards. When stone is at a height half of its maximum height, its speed is 10 m/s; men die maximum height attained by the stone is \[(g=10\text{ }m/{{s}^{2}})\]:       [AIPMT 2001]
  A)
  8 m
  done clear
  B)
  10 m    
  done clear
  C)
  15 m
  done clear
  D)
  20 m
  done clear
  View Answer play_arrow

• question_answer3) If a ball is thrown vertically upwards with speed u, the distance covered during the last t seconds of its ascent is:                        [AIPMT 2003]
  A)
  \[ut-\frac{1}{2}g\,{{t}^{2}}\]
  done clear
  B)
  \[(u+gt)t\]
  done clear
  C)
  \[ut\]
  done clear
  D)
  \[\frac{1}{2}g{{t}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer4) 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? [AIPMT 2003]             (Given \[g=9.8\,m/{{s}^{2}}\])
  A)
  Any speed less than 19.6 m/s
  done clear
  B)
  Only with speed 19.6 m/s
  done clear
  C)
  More than 19.6 m/s        
  done clear
  D)
  At least 9.8 m/s
  done clear
  View Answer play_arrow

• question_answer5) A ball of mass 2 kg and another of mass 4 kg are dropped together from a 60 feet tall building. After a fall of 30 feet each towards earth, their respective kinetic energies will be in the ratio of:                           [AIPMT (S) 2004]
  A)
  \[\sqrt{2}:1\]
  done clear
  B)
  1 : 4                 
  done clear
  C)
  1 : 2
  done clear
  D)
  \[1:\sqrt{2}\]
  done clear
  View Answer play_arrow

• question_answer6) The displacement \[x\] of a particle varies with time \[t\] as \[x=a{{e}^{-at}}+b{{e}^{\beta t}},\] where \[a,\,b,\,\,\alpha \] and \[\beta \] are positive constants. The velocity of the particle will:                               [AIPMT (S) 2005]
  A)
  go on decreasing with time                      
  done clear
  B)
  be independent of \[\alpha \] and \[\beta \]
  done clear
  C)
  drop to zero when \[\alpha =\beta \]                     
  done clear
  D)
  go on increasing with time
  done clear
  View Answer play_arrow

• question_answer7) 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 \[{{v}_{1}}\]. The boy at A starts running simultaneously with velocity v and catches the other boy in a time t, where t is:            [AIPMT (S) 2005]
  A)
  \[\frac{a}{\sqrt{{{v}^{2}}+v_{1}^{2}}}\]
  done clear
  B)
  \[\sqrt{\frac{{{a}^{2}}}{{{v}^{2}}-v_{1}^{2}}}\]
  done clear
  C)
  \[\frac{a}{(v-{{v}_{1}})}\]
  done clear
  D)
  \[\frac{a}{(v+{{v}_{1}})}\]
  done clear
  View Answer play_arrow

• question_answer8) A ball is thrown vertically upward. It has a speed of 10 m/s when it has reached one half of its maximum height. How high does the ball rise? (Taking \[g=10m/{{s}^{2}}\])          [AIPMT (S) 2005]
  A)
  15 m
  done clear
  B)
  10 m
  done clear
  C)
  20 m
  done clear
  D)
  5 m
  done clear
  View Answer play_arrow

• question_answer9) A car runs at a constant speed on a circular tract of radius 100 m, taking 62.8 s for every circular lap. The average velocity and average speed for each circular lap respectively is: [AIPMT (S) 2006]
  A)
  0, 0
  done clear
  B)
  0, 10 m/s
  done clear
  C)
  10 m/s, 10 m/s
  done clear
  D)
  10 m/s, 0
  done clear
  View Answer play_arrow

• question_answer10) 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 is:          [AIPMT (S) 2006]
  A)
  5/4
  done clear
  B)
  12/5                 
  done clear
  C)
  5/12
  done clear
  D)
  4/5
  done clear
  View Answer play_arrow

• question_answer11) The position x of a particle with respect to time t along x-axis is given by \[x=9{{t}^{2}}-{{t}^{3}}\] where x is in metre and t in second. What will be the position of this particle when it achieves maximum speed along the \[+x\] direction?        [AIPMT (S) 2007]
  A)
  32 m
  done clear
  B)
  54 m
  done clear
  C)
  81 m
  done clear
  D)
  24 m
  done clear
  View Answer play_arrow

• question_answer12) A car moves from X to Y with a uniform speed \[{{v}_{u}}\] and returns to Y with a uniform speed \[{{v}_{d}}\]. The average speed for this round trip is: [AIPMT (S) 2007]
  A)
  \[\frac{2\,{{v}_{d}}\,{{v}_{u}}}{{{v}_{d}}+{{v}_{u}}}\]
  done clear
  B)
  \[\sqrt{{{v}_{u}}\,{{v}_{d}}}\]
  done clear
  C)
  \[\frac{{{v}_{d}}\,{{v}_{u}}}{{{v}_{d}}+{{v}_{u}}}\]
  done clear
  D)
  \[\frac{{{v}_{u}}+{{v}_{d}}}{2}\]
  done clear
  View Answer play_arrow

• question_answer13) A particle moving along x-axis has acceleration \[f,\] at time t, given by \[f={{f}_{0}}\left( 1-\frac{t}{T} \right),\] where \[{{f}_{0}}\] and T are constants. The particle at \[t=0\] has zero velocity. In the time interval between \[t=0\] and the instant when \[f=0,\] the particle's velocity \[({{v}_{x}})\] is:                                     [AIPMT (S) 2007]
  A)
  \[{{f}_{0}}T\]  
  done clear
  B)
  \[\frac{1}{2}{{f}_{0}}{{T}^{2}}\]      
  done clear
  C)
  \[{{f}_{0}}{{T}^{2}}\]           
  done clear
  D)
  \[\frac{1}{2}{{f}_{0}}T\]
  done clear
  View Answer play_arrow

• question_answer14) The distance travelled by a particle starting from rest and moving with an acceleration \[\frac{4}{3}m{{s}^{-2}},\] in the third second is               [AIPMPT (S) 2008]
  A)
  6 m
  done clear
  B)
  4 m                  
  done clear
  C)
  \[\frac{10}{3}m\]
  done clear
  D)
  \[\frac{19}{3}m\]
  done clear
  View Answer play_arrow

• question_answer15) 

  A particle shows distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point [AIPMPT (S) 2008]

  A)
  B
  done clear
  B)
  C
  done clear
  C)
  D
  done clear
  D)
  A
  done clear
  View Answer play_arrow

• question_answer16) A particle moves in a straight line with a constant acceleration. It changes its velocity from \[10\,\,m{{s}^{-1}}\] to \[20\,\,m{{s}^{-1}}\] while passing through a distance 135 m in t-second. The value of t is [AIPMPT (S) 2008]
  A)
  10
  done clear
  B)
  1.8                   
  done clear
  C)
  12
  done clear
  D)
  9
  done clear
  View Answer play_arrow

• question_answer17) A bus is moving with a speed of \[10\,m{{s}^{-1}}\] 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? [AIPMT (S) 2009]
  A)
  \[20\,m{{s}^{-1}}\]
  done clear
  B)
  \[40\,m{{s}^{-1}}\]
  done clear
  C)
  \[25\,m{{s}^{-1}}\]
  done clear
  D)
  \[10\,m{{s}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer18) 

  A ball is dropped ‘from a high rise platform at \[t=0\] starting from rest. After 6s another ball is thrown downwards from the same platform with a speed v. The two balls meet at \[t=18s\]. [AIPMT (S) 2010]

  What is the value of v? (take \[g=10\text{ }m{{s}^{-2}}\])

  A)
  \[74\,\,m{{s}^{-2}}\]
  done clear
  B)
  \[55\,\,m{{s}^{-1}}\]   
  done clear
  C)
  \[40\,m{{s}^{-1}}\]
  done clear
  D)
  \[60\,m{{s}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer19) A particle covers half of its total distance with speed \[{{v}_{1}},\] and the rest half distance with speed \[{{v}_{2}}.\] Its average speed during the complete journey is                      [AIPMT (M) 2011]
  A)
  \[\frac{{{v}_{1}}{{v}_{2}}}{{{v}_{1}}+{{v}_{2}}}\]
  done clear
  B)
  \[\frac{2{{v}_{1}}{{v}_{2}}}{{{v}_{1}}+{{v}_{2}}}\]
  done clear
  C)
  \[\frac{2v_{1}^{2}v_{2}^{2}}{v_{1}^{2}+v_{2}^{2}}\]
  done clear
  D)
  \[\frac{{{v}_{1}}+{{v}_{2}}}{2}\]
  done clear
  View Answer play_arrow

• question_answer20) 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 is [AIPMT (S) 2011]
  A)
  20 m/F
  done clear
  B)
  40 m/s
  done clear
  C)
  5 m/s 
  done clear
  D)
  10 m/s
  done clear
  View Answer play_arrow

• question_answer21) A car moving with a speed of 40 km/h can be stopped by applying brakes after atleast 2 m. If me same car is moving with a speed of 80 km/h, what is the minimum stopping distance? [AIPMT 1998]
  A)
  8 m
  done clear
  B)
  2 m
  done clear
  C)
  4 m
  done clear
  D)
  6 m
  done clear
  View Answer play_arrow

• question_answer22) A stone falls freely under gravity. It covers distances \[{{h}_{1}},{{h}_{2}}\] and \[{{h}_{3}},\] in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between \[{{h}_{1}},{{h}_{2}}\] and \[{{h}_{3}}\] is                                            [NEET 2013]
  A)
  \[{{h}_{1}}=2{{h}_{2}}=3{{h}_{3}}\]           
  done clear
  B)
  \[{{h}_{1}}=\frac{{{h}_{2}}}{3}=\frac{{{h}_{3}}}{5}\]
  done clear
  C)
  \[{{h}_{2}}=3{{h}_{1}}\] and \[{{h}_{3}}=3{{h}_{2}}\]        
  done clear
  D)
  \[{{h}_{1}}={{h}_{2}}={{h}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer23) A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to \[v(x)=\beta {{x}^{-2n}}\] where, \[\beta \] and n are constants and x is the position of the particle. The acceleration of the particle as a function of x, is given by                              [NEET 2015 (C)]
  A)
  \[-2n{{\beta }^{2}}\,{{x}^{-2n-1}}\]  
  done clear
  B)
  \[-2n{{\beta }^{2}}\,{{x}^{-4n-1}}\]
  done clear
  C)
  \[-2{{\beta }^{2}}\,\,{{x}^{-2n+1}}\]
  done clear
  D)
  \[-2n{{\beta }^{2}}\,\,\,{{e}^{-4n+1}}\]
  done clear
  View Answer play_arrow

• question_answer24) A particle moves so that its position vector is given by \[\vec{r}=\cos \omega t\text{ }\,\hat{x}+\sin \omega t\text{ }\hat{y}\]. Where \[\omega \] is a constant.  Which of the following is true? [NEET - 2016]
  A)
  Velocity and acceleration both are perpendicular to \[\vec{r}\]
  done clear
  B)
  Velocity and acceleration both are parallel to \[\vec{r}\]
  done clear
  C)
  Velocity is perpendicular to \[\vec{r}\] and acceleration is directed towards the origin
  done clear
  D)
  Velocity is perpendicular to \[\vec{r}\] and acceleration is directed away from the origin
  done clear
  View Answer play_arrow

• question_answer25) If the velocity of a particle is \[v=At=B{{t}^{2}},\] where A and B are constants, then the distance travelled by it between 1s and 2s is           [NEET - 2016]
  A)
  \[\frac{3}{2}A+4B\]
  done clear
  B)
  \[3A+7B\]
  done clear
  C)
  \[\frac{3}{2}A+\frac{7}{3}B\]
  done clear
  D)
  \[\frac{A}{2}+\frac{B}{3}\]
  done clear
  View Answer play_arrow

• question_answer26) Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time \[{{t}_{1}}\]. On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time \[{{t}_{2}}\]. The time taken by her to walk up on the moving escalator will be                                 [NEET-2017]
  A)
  \[{{t}_{1}}-{{t}_{2}}\]
  done clear
  B)
  \[\frac{{{t}_{1}}+{{t}_{2}}}{2}\]
  done clear
  C)
  \[\frac{{{t}_{1}}{{t}_{2}}}{{{t}_{2}}-{{t}_{1}}}\]
  done clear
  D)
  \[\frac{{{t}_{1}}{{t}_{2}}}{{{t}_{2}}+{{t}_{1}}}\]
  done clear
  View Answer play_arrow

• question_answer27) 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 : \[\left( g=10\text{ }m/{{s}^{2}} \right)\] [NEET 2020]
  A)
  340 m
  done clear
  B)
  320 m
  done clear
  C)
  300 m
  done clear
  D)
  360 m
  done clear
  View Answer play_arrow