# 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 $m/{{s}^{2}}$

B)
32 $m/{{s}^{2}}$

C)
29 $m/{{s}^{2}}$

D)
24 $m/{{s}^{2}}$

• 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

B)
10 m

C)
15 m

D)
20 m

• 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)
$ut-\frac{1}{2}g\,{{t}^{2}}$

B)
$(u+gt)t$

C)
$ut$

D)
$\frac{1}{2}g{{t}^{2}}$

• 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

B)
Only with speed 19.6 m/s

C)
More than 19.6 m/s

D)
At least 9.8 m/s

• 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)
$\sqrt{2}:1$

B)
1 : 4

C)
1 : 2

D)
$1:\sqrt{2}$

• 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

B)
be independent of $\alpha$ and $\beta$

C)
drop to zero when $\alpha =\beta$

D)
go on increasing with time

• 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)
$\frac{a}{\sqrt{{{v}^{2}}+v_{1}^{2}}}$

B)
$\sqrt{\frac{{{a}^{2}}}{{{v}^{2}}-v_{1}^{2}}}$

C)
$\frac{a}{(v-{{v}_{1}})}$

D)
$\frac{a}{(v+{{v}_{1}})}$

• 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

B)
10 m

C)
20 m

D)
5 m

• 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

B)
0, 10 m/s

C)
10 m/s, 10 m/s

D)
10 m/s, 0

• 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

B)
12/5

C)
5/12

D)
4/5

• 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

B)
54 m

C)
81 m

D)
24 m

• 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)
$\frac{2\,{{v}_{d}}\,{{v}_{u}}}{{{v}_{d}}+{{v}_{u}}}$

B)
$\sqrt{{{v}_{u}}\,{{v}_{d}}}$

C)
$\frac{{{v}_{d}}\,{{v}_{u}}}{{{v}_{d}}+{{v}_{u}}}$

D)
$\frac{{{v}_{u}}+{{v}_{d}}}{2}$

• 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)
${{f}_{0}}T$

B)
$\frac{1}{2}{{f}_{0}}{{T}^{2}}$

C)
${{f}_{0}}{{T}^{2}}$

D)
$\frac{1}{2}{{f}_{0}}T$

• 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

B)
4 m

C)
$\frac{10}{3}m$

D)
$\frac{19}{3}m$

• 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

B)
C

C)
D

D)
A

• 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

B)
1.8

C)
12

D)
9

• 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)
$20\,m{{s}^{-1}}$

B)
$40\,m{{s}^{-1}}$

C)
$25\,m{{s}^{-1}}$

D)
$10\,m{{s}^{-1}}$

• 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)
$74\,\,m{{s}^{-2}}$

B)
$55\,\,m{{s}^{-1}}$

C)
$40\,m{{s}^{-1}}$

D)
$60\,m{{s}^{-1}}$

• 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)
$\frac{{{v}_{1}}{{v}_{2}}}{{{v}_{1}}+{{v}_{2}}}$

B)
$\frac{2{{v}_{1}}{{v}_{2}}}{{{v}_{1}}+{{v}_{2}}}$

C)
$\frac{2v_{1}^{2}v_{2}^{2}}{v_{1}^{2}+v_{2}^{2}}$

D)
$\frac{{{v}_{1}}+{{v}_{2}}}{2}$

• 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

B)
40 m/s

C)
5 m/s

D)
10 m/s

• 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

B)
2 m

C)
4 m

D)
6 m

• 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)
${{h}_{1}}=2{{h}_{2}}=3{{h}_{3}}$

B)
${{h}_{1}}=\frac{{{h}_{2}}}{3}=\frac{{{h}_{3}}}{5}$

C)
${{h}_{2}}=3{{h}_{1}}$ and ${{h}_{3}}=3{{h}_{2}}$

D)
${{h}_{1}}={{h}_{2}}={{h}_{3}}$

• 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)
$-2n{{\beta }^{2}}\,{{x}^{-2n-1}}$

B)
$-2n{{\beta }^{2}}\,{{x}^{-4n-1}}$

C)
$-2{{\beta }^{2}}\,\,{{x}^{-2n+1}}$

D)
$-2n{{\beta }^{2}}\,\,\,{{e}^{-4n+1}}$

• 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 $\vec{r}$

B)
Velocity and acceleration both are parallel to $\vec{r}$

C)
Velocity is perpendicular to $\vec{r}$ and acceleration is directed towards the origin

D)
Velocity is perpendicular to $\vec{r}$ and acceleration is directed away from the origin

• 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)
$\frac{3}{2}A+4B$

B)
$3A+7B$

C)
$\frac{3}{2}A+\frac{7}{3}B$

D)
$\frac{A}{2}+\frac{B}{3}$

• 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)
${{t}_{1}}-{{t}_{2}}$

B)
$\frac{{{t}_{1}}+{{t}_{2}}}{2}$

C)
$\frac{{{t}_{1}}{{t}_{2}}}{{{t}_{2}}-{{t}_{1}}}$

D)
$\frac{{{t}_{1}}{{t}_{2}}}{{{t}_{2}}+{{t}_{1}}}$

• 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

B)
320 m

C)
300 m

D)
360 m