Question 1: Palette 1/42

NEET 2026 MCQ

The following plots show variation of velocity $(v)$ with time $(t)$ of a ball thrown vertically upward, and falling back. Which of the following plots is/are correct?

A

C only

B

D only

C

B only

D

A and E only

Question 2: Palette 2/42

NEET 2026 MCQ

When a ruler falls vertically, 5 different persons catch it with different reaction times. ( $g=9.8 \mathrm{~m} \mathrm{~s}^{-2}$ )

A. Person A has reaction time of 0.20 s .

B. Person $B$ has reaction time of 0.22 s .

C. Person C has reaction time of 0.18 s .

D. Person D has reaction time of 0.19 s .

E. Person E has reaction time of 0.21 s .

What is the correct order of the distance travelled by the ruler for each person?

A

B $>$ E $>$ A $>$ C $>$ D

B

C $>$ D $>$ A $>$ B $>$ E

C

B $>$ E $>$ A $>$ D $>$ C

D

C $>$ D $>$ A $>$ E $>$ B

Question 3: Palette 3/42

NEET 2026 MCQ

Consider a particle moving along a straight line, whose position as a function of time is given by $s(t)=\alpha t^2-\beta t +\gamma$, where $\alpha=1 \mathrm{~ms}^{-2}, \beta=6 \mathrm{~ms}^{-1}$ and $\gamma=5 \mathrm{~m}$. The average speed of the particle, in $\mathrm{ms}^{-1}$ from $t=0$ to $t=6 \mathrm{~s}$ is:

A

0

B

12

C

6

D

3

Question 4: Palette 4/42

NEET 2025 MCQ

In some appropriate units, time $(t)$ and position $(x)$ relation of a moving particle is given by $t=x^2+x$. The acceleration of the particle is

A

$+\frac{2}{(x+1)^3}$

B

$+\frac{2}{2 x+1}$

C

$-\frac{2}{(x+2)^3}$

D

$-\frac{2}{(2 x+1)^3}$

Question 5: Palette 5/42

NEET 2025 MCQ

Two cities $X$ and $Y$ are connected by a regular bus service with a bus leaving in either direction every $T$ min. A girl is driving scooty with a speed of $60 \mathrm{~km} / \mathrm{h}$ in the direction $X$ to $Y$ notices that a bus goes past her every 30 minutes in the direction of her motion, and every 10 minutes in the opposite direction. Choose the correct option for the period $T$ of the bus service and the speed (assumed constant) of the buses.

A

$10 \mathrm{~min}, 90 \mathrm{~km} / \mathrm{h}$

B

$15 \mathrm{~min}, 120 \mathrm{~km} / \mathrm{h}$

C

$9 \mathrm{~min}, 40 \mathrm{~km} / \mathrm{h}$

D

$25 \mathrm{~min}, 100 \mathrm{~km} / \mathrm{h}$

Question 6: Palette 6/42

NEET 2024 MCQ

A particle is moving along $x$-axis with its position (x) varying with time $(t)$ as $x=\alpha t^4+\beta t^2+\gamma t+\delta$. The ratio of its initial velocity to its initial acceleration, respectively, is:

A

$2 \alpha: \delta$

B

$\gamma: 2 \delta$

C

$4 \alpha: \beta$

D

$\gamma: 2 \beta$

Question 7: Palette 7/42

NEET 2024 MCQ

The velocity $(v)-$ time $(t)$ plot of the motion of a body is shown below:

The acceleration $(a)-$ time $(t)$ graph that best suits this motion is :

A

B

C

D

Question 8: Palette 8/42

NEET 2023 MCQ

The position of a particle is given by

$\vec{r}(t)=4 t \hat{i}+2 t^2 \hat{j}+5 \hat{k} $

where $\mathrm{t}$ is in seconds and $\mathrm{r}$ in metre. Find the magnitude and direction of velocity $v(t)$, at $t=1 \mathrm{~s}$, with respect to $\mathrm{x}$-axis

A

$4 \sqrt{2} \mathrm{~ms}^{-1}, 45^{\circ}$

B

$4 \sqrt{2} \mathrm{~ms}^{-1}, 60^{\circ}$

C

$3 \sqrt{2} \mathrm{~ms}^{-1}, 30^{\circ}$

D

$3 \sqrt{2} \mathrm{~ms}^{-1}, 45^{\circ}$

Question 9: Palette 9/42

NEET 2023 MCQ

A vehicle travels half the distance with speed $v$ and the remaining distance with speed $2 v$. Its average speed is :

A

$\frac{2 v}{3}$

B

$\frac{4 v}{3}$

C

$\frac{3 v}{4}$

D

$\frac{v}{3}$

Question 10: Palette 10/42

NEET 2022 MCQ

The position-time (x - t) graph for positive acceleration is

A

B

C

D

Question 11: Palette 11/42

NEET 2022 MCQ

The ratio of the distances travelled by a freely falling body in the 1^st, 2^nd, 3^rd and 4^th second

A

1 : 2 : 3 : 4

B

1 : 4 : 9 : 16

C

1 : 3 : 5 : 7

D

1 : 1 : 1 : 1

Question 12: Palette 12/42

NEET 2022 MCQ

The displacement-time graphs of two moving particles make angles of 30$^\circ$ and 45$^\circ$ with the x-axis as shown in the figure. The ratio of their respective velocity is

A

$\sqrt3$ : 1

B

1 : 1

C

1 : 2

D

1 : $\sqrt3$

Question 13: Palette 13/42

NEET 2021 MCQ

A small block slides down on a smooth inclined plane, starting from rest at time t = 0. Let S_n be the distance travelled by the block in the interval t = n $-$ 1 to t = n. The the ratio ${{{S_n}} \over {{S_{n + 1}}}}$ is :

A

${{2n} \over {2n - 1}}$

B

${{2n - 1} \over {2n}}$

C

${{2n - 1} \over {2n + 1}}$

D

${{2n + 1} \over {2n - 1}}$

Question 14: Palette 14/42

NEET 2020 MCQ

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 : (g = 10 m/s²)

A

340 m

B

320 m

C

300 m

D

360 m

Question 15: Palette 15/42

NEET 2019 MCQ

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 :

A

0^o

B

60

C

45^o west

D

30^o west

Question 16: Palette 16/42

NEET 2017 MCQ

Preeti reached the metro station and found that the escalator was not working. She walked up the sationary escalator in time t₁. On another days, if she remains stationary on the the moving escalator, then the escalator takes her up in time t₂. The time taken by her to walk up on the moving escalator will be

A

${{{t_1}{t_2}} \over {{t_2} - {t_1}}}$

B

${{{t_1}{t_2}} \over {{t_2} + {t_1}}}$

C

${{t_1} - {t_2}}$

D

${{{t_1} + {t_2}} \over 2}$

Question 17: Palette 17/42

NEET 2016 MCQ

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(t) = (at + bt²) and x_Q(t) = (ft $-$ t²).

At what time do the cars have the same velocity ?

A

${{a - f} \over {1 + b}}$

B

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

C

${{a + f} \over {2\left( {1 + b} \right)}}$

D

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

Question 18: Palette 18/42

NEET 2016 MCQ

If the velocity of a particle is v = At + Bt², where A and B are constants, then the distance travelled by it between 1 s and 2 s is

A

${3 \over 2}A + {7 \over 3}B$

B

${A \over 2} + {B \over 3}$

C

${3 \over 2}A + 4B$

D

$3A + 7B$

Question 19: Palette 19/42

NEET 2015 MCQ

A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to $v\left( x \right) = \beta {x^{ - 2n}}$, 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

A

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

B

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

C

$ - 2n{\beta ^2}{x^{ - 2n - 1}}$

D

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

Question 20: Palette 20/42

NEET 2013 MCQ

The displacement 'x' (in meter) of a particle of mass 'm' (in kg) moving in one dimension under the action of a force, is related to time 't' (in sec) by t = $\sqrt x + 3$. The displacement of the particle when its velocity is zero, will be

A

4 m

B

0 m (zero)

C

6 m

D

2 m

Question 21: Palette 21/42

NEET 2013 MCQ

A stone falls freely under gravity. It covers distances h₁, h₂ and h₃ in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between h₁, h₂ and h₃ is

A

h₂ = 3h₁ and h₃ = 3h₂

B

h₁ = h₂ = h₃

C

h₁ = 2h₂ = 3h₃

D

${h_1}$ = ${{{h_2}} \over 3}$ = ${{{h_3}} \over 5}$

Question 22: Palette 22/42

NEET 2012 MCQ

The motion of a particle along a straight line is described by equation x = 8 + 12t $-$ t³ where x is in metre and t in second. The retardation of the particle when its velocity becomes zero is

A

24 m s^$-$2

B

zero

C

6 m s^$-$2

D

12 m s^$-$2

Question 23: Palette 23/42

NEET 2011 MCQ

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

A

${{{v_1} + {v_2}} \over 2}$

B

${{{v_1}{v_2}} \over {{v_1} + {v_2}}}$

C

${{2{v_1}{v_2}} \over {{v_1} + {v_2}}}$

D

${{v_1^2v_2^2} \over {v_1^2 + v_2^2}}$

Question 24: Palette 24/42

NEET 2011 MCQ

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

A

10.0 m/s

B

20.0 m/s

C

40.0 m/s

D

5.0 m/s

Question 25: Palette 25/42

NEET 2010 MCQ

A particle moves a distance x in time t according to equation x = (t + 5)^$-$1. The acceleration of particle is proportional to

A

(velocity)^3/2

B

(distance)²

C

(distance)^$-$2

D

(velocity)^2/3

Question 26: Palette 26/42

NEET 2010 MCQ

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 v. The two balls meet at t = 18 s. What is the value of v?
(Take g = 10 m/s²)

A

75 m/s

B

55 m/s

C

40 m/s

D

60 m/s

Question 27: Palette 27/42

NEET 2009 MCQ

A bus is moving with a speed of 10 ms^$-$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 ?

A

40 m s^$-$1

B

25 m s^$-$1

C

10 m s^$-$1

D

20 m s^$-$1

Question 28: Palette 28/42

NEET 2009 MCQ

A particle starts its motion from rest under the action of a constant force. If the distance covered in first 10 seconds is S₁ and that covered in the first 20 seconds is S₂, then

A

S₂ = 3S₁

B

S₂ = 4S₁

C

S₂ = S₁

D

S₂ = 2S₁

Question 29: Palette 29/42

NEET 2008 MCQ

A particle moves in a straight line with a constant acceleration. It changes its velocity from 10 ms^$-$1 to 20 ms^$-$1 while passing through a distance 135 m in t second. The value of t is

A

12

B

9

C

10

D

1.8

Question 30: Palette 30/42

NEET 2008 MCQ

The distance travelled by a particle starting from rest and moving with an acceleration ${4 \over 3}$m s^$-$2, in the third second is

A

${{10} \over 3}$ m

B

${{19} \over 3}$ m

C

6 m

D

4 m

Question 31: Palette 31/42

NEET 2007 MCQ

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

A

$\sqrt {{v_u}{v_d}} $

B

${{{v_d}{v_u}} \over {{v_d} + {v_u}}}$

C

${{{v_u} + {v_d}} \over 2}$

D

${{2{v_d}{v_u}} \over {{v_d} + {v_u}}}$

Question 32: Palette 32/42

NEET 2007 MCQ

A particle moving along x-axis has acceleration f, at time t, given by f = f₀$\left( {1 - {t \over T}} \right),$ where f₀ 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

A

${1 \over 2}$ f₀T²

B

f₀T²

C

${1 \over 2}$ f₀T

D

f₀T

Question 33: Palette 33/42

NEET 2007 MCQ

The positions x of a particle with respect to time t along x-axis is given by x = 9t² $-$ t³ where x is in metres and t in seconds. What will be the position of this particle when it achieves maximum speed along the + x direction ?

A

54 m

B

81 m

C

24 m

D

32 m

Question 34: Palette 34/42

NEET 2006 MCQ

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

A

4/5

B

5/4

C

12/5

D

5/12

Question 35: Palette 35/42

NEET 2006 MCQ

A particle moves along a straight line OX. At a time t (in seconds) the distance x (in metres) of the particle from O is given by x = 40 + 12t $-$ t³. How long would the particle travel before coming to rest ?

A

16 m

B

24 m

C

40 m

D

56 m

Question 36: Palette 36/42

NEET 2006 MCQ

A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 seconds for every circular lap. The average velocity and average speed for each circular lap respectively is

A

10 m/s, 0

B

0, 0

C

0, 10 m/s

D

10 m/s, 10 m/s.

Question 37: Palette 37/42

NEET 2005 MCQ

A ball is thrown vertically upward. It has a speed of 10 m/sec when it has reached one half of its maximum height. How high does the ball rise?
(Take g = 10 m/s².)

A

10 m

B

5 m

C

15 m

D

20 m

Question 38: Palette 38/42

NEET 2005 MCQ

The displacement x of a particle varies with time t as x = ae^$-$at + be^{$\beta $t}, where a, b, $\alpha $ and $\beta $ are positive constants. The velocity of the particle will

A

be independent of $\beta $

B

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

C

go on decreasing with time

D

go on increasing with time.

Question 39: Palette 39/42

NEET 2003 MCQ

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 ? (Given g = 9.8 m/s²)

A

more than 19.6 m/s

B

at least 9.8 m/s

C

any speed less than 19.6 m/s

D

only with speed 19.6 m/s.

Question 40: Palette 40/42

NEET 2003 MCQ

If a ball is thrown vertically upwards with speed u, the distance covered during the last t seconds of its ascent is

A

ut

B

${1 \over 2}$ gt²

C

ut $-$ ${1 \over 2}$ gt²

D

(u + gt) t.

Question 41: Palette 41/42

NEET 2001 MCQ

A particle is thrown vertically upward. Its velocity at half of the height is 10 m/s, then the maximum height attained by it (g = 10 m/s²)

A

8 m

B

20 m

C

10 m

D

16 m

Question 42: Palette 42/42

NEET 2000 MCQ

Motion of a particle is given by equation s = (3t³ + 7t² + 14t + 8) m. The value of acceleration of the particle at t = 1 sec is

A

10 m/s²

B

32 m/s²

C

23 m/s²

D

16 m/s²