# Solved papers for NEET Physics Two Dimensional Motion NEET PYQ-Two Dimensional Relative Motion

### done NEET PYQ-Two Dimensional Relative Motion Total Questions - 22

• question_answer1) The speed of a boat is 5 km/h in still water. It crosses a river of width 1.0 km along the shortest possible path in 15 min. The velocity of the river water is: (in km/h) [AIPMT 1998]

A)
5

B)
1

C)
3

D)
4

• question_answer2) A person swims in a river aiming to reach exactly opposite point on the bank of a river. His speed of swimming is 0.5 m/s at an angle $120{}^\circ$ with the direction of flow of water. The speed of water in stream is: [AIPMT 1999]

A)
1.0 m/s

B)
0.5 m/s

C)
0.25 m/s

D)
0.43 m/s

• question_answer3) Two particles are projected with same initial velocities at an angle ${{30}^{o}}$ and ${{60}^{o}}$ with the horizontal. Then:             [AIPMT 2000]

A)
their heights will be equal

B)
their ranges will be equal

C)
their time of flights will be equal

D)
their ranges will be different

• question_answer4) A stone is thrown at an angle of ${{45}^{o}}$ to the horizontal with kinetic energy K. The kinetic energy at the highest point is:      [AIPMT 2001]

A)
$\frac{K}{2}$

B)
$\frac{K}{\sqrt{2}}$

C)
K

D)
zero

• question_answer5) A particle is dropped from a height and another particle is projected in horizontal direction with a speed of 5 m/s from the same height. Then the correct statement is: [AIPMT 2002]

A)
particle will reach the ground earlier than particle

B)
particle will reach the ground earlier than particle

C)
both the particles will reach the ground simultaneously

D)
both the particles will reach the ground with the same speed

• question_answer6) For angles of projection of a projectile at angles $({{45}^{o}}-\theta )$ and $({{45}^{o}}+\theta )$ the horizontal ranges described by the projectile are in the ratio of: [AIPMT (S) 2006]

A)
1 : 1

B)
2 : 3

C)
1 : 2

D)
2 : 1

• question_answer7) A particle starting from the origin (0, 0) moves in a straight line in die (x, y) plane. Its coordinates at a later time are $(\sqrt{3},\,3)$. The path of the particle makes with the x-axis an angle of:               [AIPMT (S) 2007]

A)
${{30}^{o}}$

B)
${{45}^{o}}$

C)
${{60}^{o}}$

D)
${{0}^{o}}$

• question_answer8)  A particle of mass m is projected with velocity v making an angle of ${{45}^{o}}$ with the horizontal. [AIPMPT (S) 2008] When the particle lands on the level ground the magnitude of the change in its momentum will be

A)
2mv

B)
$mv/\sqrt{2}$

C)
$mv\sqrt{2}$

D)
zero

• question_answer9) The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is [AIPMT (M) 2010]

A)
${{60}^{o}}$

B)
${{15}^{o}}$

C)
${{30}^{o}}$

D)
${{45}^{o}}$

• question_answer10) From a circular disc of radius R and mass 9 M, a small disc of mass M and radius $\frac{R}{3}$ is removed concentrically. The moment of inertia of the  remaining disc about an axis perpendicular to  the plane of the disc and passing through its centre is  [AIPMT (M) 2010]

A)
$\frac{40}{9}M{{R}^{2}}$

B)
$M{{R}^{2}}$

C)
$4M{{R}^{2}}$

D)
$\frac{4}{9}M{{R}^{2}}$

• question_answer11) A particle moves in $x-y$ plane according to rule $x=a\sin \omega t$ and $y=a\cos \omega t$. The particle follows [AIPMT (M) 2010]

A)
an elliptical path

B)
a circular path

C)
a parabolic path

D)
a straight line path inclined equally to $x$ and $y-$axes

• question_answer12) A projectile is fired at an angle of ${{45}^{o}}$ with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection is                                   [AIPMT (M) 2011]

A)
${{60}^{o}}$

B)
${{\tan }^{-1}}\left( \frac{1}{2} \right)$

C)
${{\tan }^{-1}}\left( \frac{\sqrt{3}}{2} \right)$

D)
$\text{4}{{\text{5}}^{\text{o}}}$

• question_answer13) 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                                [AIPMT (S) 2011]

A)
$7\text{ }m/{{s}^{2}}$

B)
$\sqrt{7}\,m/{{s}^{2}}$

C)
$5\text{ }m/{{s}^{2}}$

D)
$1\,\,m/{{s}^{2}}$

• question_answer14) A missile is fired for maximum range with a initial velocity of 20 m/s. If $g=10\text{ }m/\text{ }{{s}^{2}},$ the range of the missile is                            [AIPMT (S) 2011]

A)
50 m

B)
60 m

C)
20 m

D)
40 m

• question_answer15) The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is                            [AIPMT (S) 2012]

A)
$\theta ={{\tan }^{-1}}\left( \frac{1}{4} \right)$

B)
$\theta ={{\tan }^{-1}}(4)$

C)
$\theta ={{\tan }^{-1}}(2)$

D)
$\theta ={{45}^{o}}$

• question_answer16) A particle has initial velocity $(2i+3j)$ and acceleration $(0.3i+0.2j)$. The magnitude of velocity after 10 s will be        [AIPMT (S) 2012]

A)
$9\sqrt{2}$ units

B)
$5\sqrt{2}$ units

C)
5 units

D)
9 units

• question_answer17)  The velocity of a projectile at the initial point A is$(2i+3j)\text{ }m/s$. Its velocity (in m/s) at point B is [NEET 2013]

A)
$-2i-3j$

B)
$-2i+3j$

C)
$2i-3j$

D)
$2i+3j$

• question_answer18) A projectile is fired from the surface of the earth with a velocity of $5\,m{{s}^{-1}}$ and angle $\theta$ with the horizontal. Another projectile fired from another planet with a velocity of $3\,m{{s}^{-1}}$ at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is (in$m{{s}^{-2}}$) is (given,$g=9.8\,m{{s}^{-2}}$) [NEET 2014]

A)
3.5

B)
5.9

C)
16.3

D)
110.8

• question_answer19) A particle is moving such that its position coordinates $(x,\text{ }y)$ are $(2m,\text{ }3m)$ at time $t=0,$ $(6m,\text{ }7m)$ at time $t=2\text{ }s$ and $(13m,\text{ }14m)$ at time $t=5\text{ }s$. Average velocity vector (${{\upsilon }_{a\upsilon }}$) from $t=0$ to $t=5\,s$ is   [NEET 2014]

A)
$\frac{1}{5}(13\mathbf{\hat{i}}+14\mathbf{\hat{j}})$

B)
$\frac{7}{3}(\mathbf{\hat{i}}+\mathbf{\hat{j}})$

C)
$2(\mathbf{\hat{i}}+\mathbf{\hat{j}})$

D)
$\frac{11}{5}(\mathbf{\hat{i}}+\mathbf{\hat{j}})$

• question_answer20) A ship A is moving Westwards with a speed of $10\,km\,{{h}^{-1}}$ and a ship B 100 km South of A, is moving Northwards with a speed of $10\,km\,{{h}^{-1}}$. The time after which the distance between them becomes shortest is  [NEET 2015 ]

A)
0 h

B)
5 h

C)
$5\sqrt{2}h$

D)
$10\sqrt{2}h$

• question_answer21) The $x$ and $y$ coordinates of the particle at any time are $x=5t-2{{t}^{2}}$ and $y=10t$ respectively, where $x$ and $y$ are in meters and t in seconds. The acceleration of the particle at $t=2\text{ }s$ is [NEET-2017]

A)
$-8\,m/{{s}^{2}}$

B)
0

C)
$5\,m/{{s}^{2}}$

D)
$-4\,m/{{s}^{2}}$

• question_answer22) 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 strokes w.r.t. north is given by:                        [NEET 2019]

A)
$60{}^\circ$ west

B)
$45{}^\circ$ west

C)
$30{}^\circ$ west

D)
$0{}^\circ$