Kinematics · JEE Main previous year questions

2026 16 questions

1. Q312026 · 8 Apr 2026 · Shift 2

   Two identical bodies, projected with the same speed at two different angles cover the same horizontal range $R$. If the time of flight of these bodies are $5\mathrm{s}$ and $10\mathrm{s}$, respectively, then the value of $R$ is ____ $\mathrm{m}$. (Take $g=10m/{\mathrm{s}}^2$)

   1. A.$250$
   2. B.$25$
   3. C.$500$
   4. D.$125$
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   Answer: A

2. Q282026 · 6 Apr 2026 · Shift 1

   The rain drop of mass $1\mathrm{g}$, starts with zero velocity from a height of $1\mathrm{km}$. It hits the ground with a speed of $5m/s$. The work done by the unknown resistive force is ____ $\mathrm{J}$. (take $g=10m/{\mathrm{s}}^2$)

   1. A.$-8.75$
   2. B.$-8.35$
   3. C.$-9.55$
   4. D.$-9.98$
   Show answer

   Answer: D

3. Q292026 · 6 Apr 2026 · Shift 2

   A body of mass $1\mathrm{kg}$ moves along a straight line with a velocity $v=2x^2$. The work done by the body during displacement from $x=0$ to $5\mathrm{m}$ is ____ $\mathrm{J}$.

   1. A.$0$
   2. B.$250$
   3. C.$1250$
   4. D.$1000$
   Show answer

   Answer: C

4. Q322026 · 6 Apr 2026 · Shift 2

   Two identical bodies A and B of equal masses have initial velocities ${\vec{v}}_1=4\hat{i}\text{ m/s}$ and ${\vec{v}}_2=4\hat{j}\text{ m/s}$ respectively. The body A has acceleration ${\vec{a}}_1=6\hat{i}+6\hat{j}{\text{ m/s}}^2$ while the acceleration of the other body B is zero. The centre of mass of the two bodies moves in ________ path.

   1. A.circular
   2. B.parabolic
   3. C.straight line
   4. D.elliptical
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   Answer: C

5. Q462026 · 5 Apr 2026 · Shift 1· Numerical answer

   A cube has side length $5\mathrm{cm}$ and modulus of rigidity $10^{5}N/{\mathrm{m}}^2$. The displacement produced by a force of $10\mathrm{N}$ in the upper face of cube is ____ $\mathrm{mm}$.

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   Answer: 2

6. Q292026 · 5 Apr 2026 · Shift 2
   
   1. A.$25\mathrm{m}$ and zero
   2. B.$50\mathrm{m}$ and zero
   3. C.$100\mathrm{m}$ and zero
   4. D.$100\mathrm{m}$ and $2.5m/s$
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   Answer: C

7. Q312026 · 5 Apr 2026 · Shift 2
   
   1. A.solid cylinder
   2. B.ring
   3. C.disc
   4. D.solid sphere
   Show answer

   Answer: D

8. Q312026 · 4 Apr 2026 · Shift 1

   The two projectiles are projected with the same initial velocities at the $15^{\circ }$ and $30^{\circ }$ with respect to the horizontal. The ratio of their ranges is $1:x$. The value of $x$ is

   1. A.$\sqrt{2}$
   2. B.$\sqrt{3}$
   3. C.$2\sqrt{3}$
   4. D.$\frac{1}{\sqrt{2}}$
   Show answer

   Answer: B

9. Q292026 · 4 Apr 2026 · Shift 2

   If $x$ and $y$ coordinates of a projectile as a function of time ($t$) are given as $24t$ and $43.6t-4.9t^2$, respectively, then the angle (in degrees) made by the projectile with horizontal when $t=2\mathrm{s}$ is ____.

   1. A.60
   2. B.45
   3. C.30
   4. D.75
   Show answer

   Answer: B

10. Q452026 · 28 Jan 2026 · Shift 1
    
    1. A.$+\frac{1}{3a}$
    2. B.$-\frac{1}{a}$
    3. C.$\frac{1}{2a}$
    4. D.$-\frac{1}{3a}$
    Show answer

    Answer: D

11. Q432026 · 24 Jan 2026 · Shift 1

    A boy throws a ball into air at $45^{\circ }$ from the horizontal to land it on a roof of a building of height $H$. If the ball attains maximum height in $2\mathrm{s}$ and lands on the building in $3\mathrm{s}$ after launch, then value of $H$ is ____ m. $\left(g=10m/{\mathrm{s}}^2\right)$

    1. A.20
    2. B.25
    3. C.10
    4. D.15
    Show answer

    Answer: D

12. Q492026 · 24 Jan 2026 · Shift 1· Numerical answer

    Sixty four rain drops of radius $1\mathrm{mm}$ each falling down with a terminal velocity of $10cm/s$ coalesce to form a bigger drop. The terminal velocity of bigger drop is ____ $cm/s$.

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    Answer: 160

13. Q392026 · 23 Jan 2026 · Shift 1
    
    1. A.$\frac{1}{5}$
    2. B.$\frac{2-\sqrt{3}}{5}$
    3. C.$\frac{3}{5}$
    4. D.$\frac{2+\sqrt{3}}{5}$
    Show answer

    Answer: A

14. Q362026 · 22 Jan 2026 · Shift 1

    A projectile is thrown upward at an angle $60^{\circ }$ with the horizontal. The speed of the projectile is $20m/s$ when its direction of motion is $45^{\circ }$ with the horizontal. The initial speed of the projectile is ____ $m/s$.

    1. A.$20\sqrt{3}$
    2. B.$20\sqrt{2}$
    3. C.40
    4. D.$40\sqrt{2}$
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    Answer: B

15. Q392026 · 21 Jan 2026 · Shift 2

    A body of mass 2 kg is moving along $x$-direction such that its displacement as function of time is given by $x(t)=\alpha t^2+\beta t+\gamma$ m, where $\alpha =1m/s^2,\beta =1m/s$ and $\gamma =1m$. The work done on the body during the time interval $t=2s$ to $t=3s$, is ____ J.

    1. A.42
    2. B.24
    3. C.49
    4. D.12
    Show answer

    Answer: B

16. Q432026 · 21 Jan 2026 · Shift 2

    A river of width 200 m is flowing from west to east with a speed of 18 km/h. A boat, moving with speed of 36 km/h in still water, is made to travel one-round trip (bank to bank of the river). Minimum time taken by the boat for this journey and also the displacement along the river bank are ______ and ______ respectively.

    1. A.20 s and 100 m
    2. B.40 s and 100 m
    3. C.40 s and 200 m
    4. D.40 s and 0 m
    Show answer

    Answer: C