numerical of motion in a straight line class 11 problems

 Dear students numerical of motion in a straight line class 11 problems pdf neet questions chapter 3 motion in a straight line class 11 jee questions aiims important questions have been collected at one place to get you all prepared for your neetaiims ,jee main, advance exams as well as cbse board exams and other board exams. Visit my nawendu classes youtube channel for more help.

numerical of motion in a straight line class 11 problems

1. A Body starts from rest and travels 120cm in the 8th second. then acceleration of the      body is  
AFMC 1997
Answer- 0.16m/sec
2. Find the total displacement of a body in 8 seconds starting from rest with an acceleration of 20cm/sec2   
   AFMC 2000
Answer- 640cm 
3. A particle covers 150 meter in 8th  second starting from rest , its acceleration is 
  AFMC 2003 
Answer- $20m/{{s}^{2}}$
4 A car is moving with uniform acceleration it covers 200 meter in 2 second and 220 meter in next 4 second . The velocity of car at the end of end of 7th second from start is
Answer- 10 m/s
10. 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 
Answer- $\frac{10}{3}m$
5. A ship of mass $3\times {{10}^{7}}$kg initially at rest, is pulled by force of $5\times {{10}^{4}}$N through a distance of 3 m. Assuming that the resistance due to water is negligible, the speed of the sheep is
    IIT 1980, 2M 
Answer-  0.1 m/s 
6. A bus starts from rest with an acceleration of 1 meter/sec2. A man who is 48 meter behind the bus with a uniform velocity of 10m/sec then the minimum time after which the man will catch the bus is 
  AFMC 2001 
Answer- 8sec
7. The displacement x of a particle moving along a straight line at time t is given by 
The acceleration of the particle is
Answer- $2{{a}_{2}}$
8. A particle moves along a straight line OX. At a time (in second) the distance x (in meters) of the particle from O is given by $x=40+12t-{{t}^{3}}$.How long would the particle travel before coming to rest        
  AFMC 2000 
Answer-  56 m
9. The displacement of a particle moving in straight line depends on time as $x=\alpha {{t}^{3}}+\beta {{t}^{2}}+\gamma t+\delta $ .
 The ratio of initial acceleration to its initial velocity depends 
  AFMC 2002 
Answer- Only on β and y
10. The position of x of a particle w.r.t time t along x-axis is given by $x=9{{t}^{2}}-{{t}^{3}}$, where x is in meter and t in sec, What will be the position of this particle when it achieves maximum speed along the + x direction? 
  CBSE AIPMT 2007 
Answer- 54 m 
11. A small block slides without friction down an inclined plane starting from rest. Let ${{S}_{n}}$ be the distance travelled from t=n – 1 to t = n. Then $\frac{{{S}_{n}}}{{{S}_{n+1}}}$  is
    IIT 2004, 2M 
 Answer- $\frac{2n-1}{2n+1}$ 
12.  A train of 150 meter long is going towards north direction at speed of 10 meter/second. A parrot flies at the speed of 5meter/second towards south direction parallel to the railway track. The time taken by the parrot to cross the train is    
  CBSE-PMT 1992 
Answer- 10 second
13. A car accelerates from rest at a constant rate α for some time, after which it decelerated at constant rate β and comes to rest. If the total time elapsed is t, then the maximum velocity acquired by the car is.. 
  CBSE PMT 1994 
 Answer- αβt/(α+β)
14. A car travels first half distance between two places with a speed of 40km/hr and the remaining half with a speed of 60km/hr. the average speed of the car is
   CBSE AIPMT 1990 
Answer- 48 km/hr
15.  A bus travelling the first one third distance at the speed of 10km/s, the next One third at 20km/s and the last one third at 60km/s , the average speed of the bus is   
  CBSE-PMT 1991 
Answer- 18km/s
16. 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 is 
  CBSE-PMT 2011 
 Answer- $\frac{2{{V}_{1}}{{V}_{2}}}{{{V}_{1}}+{{V}_{2}}}$
17. A car moves from X to Y with a uniform speed  ${{v}_{u}}$ and returns to X with a uniform speed ${{v}_{d}}$. Then average speed for this round trip is 
   CBSE AIPMT 2007 
Answer-  $\frac{2{{v}_{d}}{{v}_{u}}}{{{v}_{d}}+{{v}_{u}}}$ 
18. A body is dropped from top of a tower fall through 40m during the last two second of its fall.The height of tower is [g=10m/s2]  
 Answer- 45m 
 19. 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 y. 
The two balls meet at t=18 seconds. What is the value of y?
 CBSE-PMT 2011 
 Answer- 75m/sec
20.When a ball is thrown up vertically with velocity ${{V}_{0}}$,it reaches a maximum                  height of h. If one wishes to triple the maximum height, then the ball should be thrown            with velocity
    AIIMS 2005
 Answer- \[\sqrt{3}{{V}_{0}}\]
21. A particle moving in a straight line with a constant acceleration. Changes its                          velocity from 10 m/s to 20m/s, while passing through 135 m in t second. The value of t is            CBSE-PMT 2008              
 Answer- 9 sec
 22.A particle starts its motion from rest under the action of force. if the distance covered in
first 10 second is S1 and first 20 seconds is S2 then  
   CBSE-PMT 2009
 Answer- S2 = 4S1
 23. If a ball is thrown vertically upwards with speed of ‘u’ the distance covered during the last ‘t’ second of its ascent is 
  CBSE-PMT 2003 
 Answer- $\frac{1}{2}g{{t}^{2}}$
 24. A bus is moving with a speed of 10meter/second on a straight road.
A scooterist wishes to over take the bus in 100second. 
If the bus is at a distance of 1km from the scooterist , with what speed should the scooterist chase the bus ?  
   CBSE-PMT 2009 
 Answer- 20 m/s
 25. If 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 
Answer- $\frac{3}{2}A+\frac{7}{3}B$
26. A particle moves along a straight line such that its displacement in time ‘t’ is given by
$s={{t}^{3}}-6{{t}^{2}}+4t+3$ meters
The velocity when the acceleration becomes zero is…                 
CBSE PMT 1994 
 Answer- -8m/s
27. 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 time interval between t = 0 and the instant when f = 0, then particles velocity (${{v}_{x}}$) is 
   CBSE AIPMT 2007 
Answer-  $\frac{1}{2}{{f}_{0}}T$
 28. 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 function of x, is given by
Answer- $-2n{{\beta }^{2}}{{x}^{-4n-1}}$
 29. A stone falls freely under gravity. It covers distances ${{h}_{1}},{{h}_{2}}and{{h}_{3}}$ in 
the first 5s,the next 5s and the next 5s respectively. The relation between ${{h}_{1}},{{h}_{2}}and{{h}_{3}}$ is
  NEET 2013 
Answer- ${{h}_{1}}=\frac{{{h}_{2}}}{3}=\frac{{{h}_{3}}}{5}$
30. A particle shows distance time-graph curve as given in 
 the figure. The maximum instantaneous velocity of the particle is around the point
   CBSE AIPMT 2008
class 11 NUMERICAL problems

Answer- C
 31. The displacement-time graph of moving particle is shown below.
                    The instantaneous velocity of the particle is negative at the point
   CBSE AIPMT 1994

Answer-  E
 32. Which of the following curves does not represent motion in one dimension ?
PHYSICS numericals

Answer-  c
33.Which of the following  v-t graphs shows a realistic situation for a body in motion ?
  AIIMS 2004
numerical of physics

Answer- b 
34. A ball is dropped from a bridge 122.5m above a river. After the ball has been falling                for 2s,a second ball is thrown straight down after it. What must  the initial velocity of                 the second ball so that both hit the water at the same time?

             AIIMS 2015  

        Answer- 26.1m/s 
35. A particle is thrown vertically upward. The velocity at half of the height is 10 m/s,then              maximum height attained by it will be [g=10m/s2] 

           AIIMS 1999

 Answer- 10m

36.A body is released from the top of the tower H metre height takes t second to reach                the ground. Where is the body after t/2 second of release ?

         AIIMS 2000

    Answer- 3H/4 meter from the ground

37. Two bodies A (of mass 1 kg) and B of ( mass 3 kg) are dropped from height of 16 m and 25 m, respectively. The ratio of the time taken by them to reach the ground is  

  CBSE AIPMT 2006 

 Answer- 4/5 

38.The velocity of a bullet is reduced from 200m/s to 100m/s, while travelling through a              wooden block of a thickness 10 cm. Assuming it to be uniform, the retardation will be

       AIIMS 2001

 Answer- $-15X{{10}^{4}}m/{{s}^{2}}$

39. If a car at rest accelerates uniformly to a speed of 144 km/h in 20 sec, then it covers a        distance

       AIIMS 1997

  Answer- 400m

40. A car starting from rest, accelerates at the rate (f) through a distance s, then continue at constant speed for time (t) and then decelerates at the rate (f/2) to come to rest. The total distance travelled is 15 s, then 

    AIIMS 2008 

Answer-   $s=\frac{1}{72}f{{t}^{2}}$ 

41. A body starts from rest and moves with a uniform acceleration. What is the ratio of the       distance covered in the ${{n}_{th}}$ second to the distance covered in n second ?

         AIIMS 2013

Answer-   $\frac{2}{n}-\frac{1}{{{n}^{2}}}$ 

42. A rocket is fired upward from the earth surface such that it creates an acceleration of               19.6 m/s2 .If after 5 second ,its engine is switched off, the maximum height of the rocket            from earth surface would be

          AIIMS 2011

 Answer- 245 m

43.A bus starts from rest and moves with constant acceleration 8 m/s2 .At the same time ,          a  car travelling with a constant velocity 16 m/s overtakes and passes the bus. After how           much time and at what distance ,the bus overtakes the car ?

          AIIMS 2016 

Answer- t=4s, s=64m 

44. Two cars P and Q start from a point at the same time in a straight line and their positions are represented by ${{X}_{P}}\left( t \right)=at+b{{t}^{2}}$  and \[{{X}_{Q}}\left( t \right)=ft-{{t}^{2}}\]  . At What time do the cars have the same velocity? 

      NEET 2016 

Answer-  $\frac{f-a}{2\left( 1+b \right)}$ 

45. 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 time ${{t}_{2}}$. The time taken by her to walk up on the moving escalator will be 
     NEET 2017 

Answer-  $\frac{{{t}_{1}}{{t}_{2}}}{{{t}_{2}}+{{t}_{1}}}$ 

46. In 1 second, a particle goes from point A to B , moving in a semicircle                                       (see figure).The  magnitude of the average velocity is

                IIT 1999 

numerical of motion in a straight line

 Answer- 2m/s
47. A particle moves in a circle of radius R. In half the period of revolution its                                  displacement is ......... and distance covered is  ............. 
                 IIT 1982

  Answer- $2R,\pi R$
48. The position of the particle as a function of time t, is given by  $x\left( t \right)=at+b{{t}^{2}}-c{{t}^{3}}$  where a, b and c are constants. When the particle attains zero acceleration, then its velocity will be 
       IIT 2019 MAIN, 09 April II 
Answer-  $a+\frac{{{b}^{2}}}{3c}$
49. A particle is moving eastwards with a velocity of 5 m/s.In10 second , the velocity                       changes to 5 m/s northwards. The average acceleration this time is 
                   IIT 1983 

  Answer- $\frac{1}{\sqrt{2}}m/{{s}^{2}}$ towards north - west
50. A particle is moving with speed $v=b\sqrt{x}$ along positive X- axis. Calculate the            speed of the particle at time $t=\tau $ (assume that the particle is at origin at t=0)

                   IIT Main 2019 
 Answer - $\frac{{{b}^{2}}\tau }{2}$   
51.From a tower of height H ,a particle is thrown vertically upward with a speed u. The                   time taken by the particle ,to hit the ground, is n times that taken by it to reach the               highest point of its path. The relation between H, u, and n is 
                   IIT Main 2014 
 Answer- $2gH=n{{u}^{2}}(n-2)$  

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