Kinematics graphs – JEE Main Study Material

Question

Asked in: JEE Main 2021-2021

The velocity-displacement graph describing the motion of a bicycle is shown in the figure.

The acceleration-displacement graph of the bicycle's motion is best described by :

A.
B.
C.
D.

Question

In the given position-time graph, which of the following is correct

A.	I - Positive acceleration II - Negative acceleration III - Zero acceleration
B.	I - Positive acceleration II - Zero acceleration III - Negative acceleration
C.	All represent positive acceleration.
D.	Nothing can be concluded

Question

The figure shows the displacement time graph of two particles moving along the x-axis. We can say that.

A.	Both the particles are having an uniformly retarded motion.
B.	Both the particles are having an accelerated motion.
C.	Particle (1) is having an accelerated motion while particle (2) is having a retarding motion.
D.	Particle (1) is having a retarded motion while particle (2) is having an accelerated motion.

Question

A particle is moving with constant velocity along a straight line. The position time graph will look like

A.
B.
C.
D.

Question

A particle is stationary its position time graph will look like

A.
B.
C.
D.

Question

Position time graph of a particle with non uniform velocity is shown below. We can conclude that

A.	Its velocity is constant
B.	Its velocity is decreasing
C.	Its velocity is increasing
D.	Nothing can be said about velocity

Question

Asked in: JEE Main 2021-2021

The velocity-displacement graph of a particle is shown in the figure. Which of the following graphs correctly represents the variation of acceleration with displacement?

A.
B.
C.
D.

Question

Asked in: JEE Main 2018-2018

The velocity-time graphs of a car and a scooter are shown in the figure. (i) The difference between the distance traveled by the car and the scooter in 15 seconds and (ii) the time at which the car will catch up with the scooter, respectively:

A.	112.5 m and 22.5 s
B.	337.5 m and 25 s
C.	112.5 m and 15 s
D.	225.5 m and 10 s

Question

Asked in: JEE Main 2018-2018

All the graphs below are intended to represent the same motion. One of them does it incorrectly. Pick it up.

A.
B.
C.
D.

Question

Asked in: JEE Main 2020-2020

The velocity (v) and time (t) graph of the body in straight-line motion are shown in the figure. The point S is at 4.33 seconds. The total distance covered by the body in 6 seconds is:

A.	$\frac{11}{4} m$
B.	$\frac{49}{4} m$
C.	$\frac{37}{3} m$
D.	$12 m$

Question

Asked in: JEE Main 2019-2019

A particle starts from the origin at time t=0 and moves alongs the positive x -axis. The graph of of velocity with respect to time is shown in figure. What is the position (in m) of the particle at time t= 5s?

A.	9
B.	3
C.	10
D.	6

Question

Asked in: JEE Main 2020-2020

The speed versus time graph for a particle is shown in the figure. The distance travelled (in m) by the particle during the time interval t=0 to t=5s will be______

A.	20
B.	10
C.	30
D.	40

Question

Asked in: JEE Main 2021-2021

If the velocity-time graph has the shape AMB, what would be the shape of the corresponding acceleration -time graph?

A.
B.
C.
D.

Question

Asked in: JEE Main 2021-2021

The position, velocity and acceleration of a particle moving with constant acceleration can be represented by :

A.
B.
C.
D.

Question

Asked in: BITSAT-2018

A body is thrown vertically upwards. Which one of the following graphs correctly represent the velocity vs time ?

A.
B.
C.
D.

Question

Which of the following graph represents non-uniform motion

A.
B.
C.
D.	None of these

Question

A body is travelling in a straight line with a uniform speed. Which one of the plots represents the change in distance travelled with time

A.
B.
C.
D.

Question

Which of the graph represents a state of rest for an object -

A.
B.
C.
D.

Question

The body is projected vertically upwards. Which of the following graphs correctly shows the relationship between velocity and time?

A.
B.
C.
D.

Question

Consider the following figure

Which of the following statements is true?

A.	The acceleration is positive during A to C and negative during C to B.
B.	The acceleration does not reach its maximum value at C.
C.	The speed is maximum at C.
D.	All the above.

Question

Position time graph of a particle is given in the figure. Its velocity (in m/s) is

A.	4
B.	3
C.	2
D.	1

Question

Asked in: JEE Main-2023

The velocity time graph of a body moving in a straight line is shown in figure.

The ratio of displacement to distance traveled by the body in time $
0 \text { to } 10 \mathrm{~s}
$ is :

A.	$1: 1$
B.	$1: 2$
C.	$1: 3$
D.	$1: 4$

Question

Asked in: JEE Main-2023

Match Column-I with Column-II :

	Column I (x-t graphs)	Column II (v-t graphs)
A			I
B			II
C			III
D			IV

Choose the correct answer from the options given below:

A.	A- I, B-II, C-III, D-IV
B.	A- II, B-III, C-IV, D-I
C.	A- I, B-III, C-IV, D-II
D.	A- II, B-IV, C-III, D-I

Question

Asked in: JEE Main-2023

Given below are two statements :
Statement I: Area under velocity- time graph gives the distance travelled by the body in a given time.
Statement II: Area under acceleration- time graph is equal to the change in velocity- in the given time. In the light of given statement, choose the correct answer from the options given below :

A.	Both Statement I and Statement II are true.
B.	Statement I is correct but Statement II is false.
C.	Both Statement I and and Statement II are false.
D.	Statement I is incorrect but Statement II is true.

Question

Asked in: JEE Main-2023

From the v – t graph shown, the ratio of distance to displacement in 25 s of motion is :

A.	$\frac{3}{5}$
B.	$\frac{1}{2}$
C.	$\frac{5}{3}$
D.	1

Question

The figure illustrates the velocity variation of a particle moving along a straight line with respect to time. Determine the distance (in m) travelled by the particle within a duration of four seconds.

A.	55
B.	65
C.	75
D.	85

Question

The given figure represents the displacement of a particle as a function of time. Based on the figure, we can conclude that:

A.	The particle initially starts with a certain velocity, but its motion is decelerated, eventually coming to a stop.
B.	The velocity of the particle remains constant throughout.
C.	The acceleration of the particle remains constant throughout.
D.	The particle begins with a constant velocity, then experiences acceleration, and finally moves with another constant velocity.

Question

Among the given options, which graph or graphs represent the velocity-time relationship of a ball during its upward flight when thrown vertically (assuming no air resistance)?

A.
B.
C.
D.

Question

The given figure illustrates the graph depicting the relationship between displacement (x) and time (t) for a particle moving in a straight line. Based on the intervals OA, AB, BC, and CD shown on the graph, we can determine the acceleration of the particle during each interval.

A.	OA, AB, BC, CD + O + +
B.	OA, AB, BC, CD - O + O
C.	OA, AB, BC, CD + O - +
D.	OA, AB, BC, CD - O - O

Question

Asked in: JEE Main-2023

The positon-time graphs for two students A and B returning from the school to their homes are shown in figure.

(A) A lives closer to the school
(B) B lives closer to the school
(C) A takes lesser time to reach home
(D) A travels faster than B
(E) B travels faster than A
Choose the correct answer from the options given below :

A.	(A) and (E) only
B.	(A), (C) and (E) only
C.	(B) and (E) only
D.	(A), (C) and (D) only

Question

A body is travelling in a straight line with a uniform increasing speed. Which one of the plot represents the change in distance travelled with time

A.
B.
C.
D.

Question

For a moving particle displacement - a time graph is shown in the given figure. The instantaneous velocity of the particle is negative at the point.

A.	A
B.	B
C.	C
D.	D

Question

Match the following cases for a moving object

	(1) Positive Acceleration
	(2) Negative Acceleration
	(3) Zero Acceleration

A.	P - 1 , Q - 2 , R - 3
B.	P-2 , Q - 1 , R - 1
C.	P- 2 , Q - 1 , R - 3
D.	P - 3, Q - 1, R - 2

Question

Which of the following graphs represents non-uniform motion

A.
B.
C.
D.

Question

Asked in: JEE Main 2019-2019

A particle starts from origin O from rest and moves with a uniform acceleration along the positive x-axis. Identify all figure that correctly represents the motion qualitatively. (a=acceleration, v=velocity,x=displacement,t=time)

A.	(B),(C)
B.	(A)
C.	(A),(B),(C)
D.	(A),(B),(D)

Question

A particle starts from rest $(a t x=0)$ when an acceleration is applied to it. The acceleration of the particle changes with its coordinate as shown in the figure. Find the speed of the particle at $x=20 \mathrm{~m}$.

A.	$10 \sqrt{5}$
B.	$5 \sqrt{10}$
C.	$ \sqrt{60}$
D.	$ \sqrt{80}$

Question

Asked in: JEE Main-2024

A wooden block, initially at rest on the ground, is pushed by a force which increases linearly with time t. Which of the following curves best describes the acceleration of the block with time :

A.
B.
C.
D.

Question

Four velocity time graphs (Namely I , II , III , IV ) are shown in the figure. In which case is the acceleration uniform and positive

A.	II
B.	I
C.	III
D.	IV

Question

Asked in: BITSAT-2018

A body is at rest at $x=0$. At $t=0$, it starts moving in the positive $ x$ direction with a constant acceleration. At the same instant, another body passes through $x=0$ moving in the positive $x$-direction with a constant speed. The position of the first body is given by $x_1(t)$ after time $t$ and that of the second body by $x_2(t)$ after the same time interval. Which of the following graphs correctly describes $\left(x_1-x_2\right)$ as a function of time $t$?

A.
B.
C.
D.

Question

What are the essential elements of graphs?

Point
The slope of the curve
Area under curve

A.	1 & 2
B.	1, 2 & 3
C.	only 2
D.	only 3

Question

What is the area of the region bounded by y = 2x, y = 0, x = 0 and x = 2 ?

A.	1 unit $^2$
B.	2 unit $^2$
C.	3 unit $^2$
D.	4 unit $^2$

Question

Asked in: BITSAT-2018

Which graph corresponds to an object moving with a constant negative acceleration and a positive velocity?

A.
B.
C.
D.

Question

Which of the following graphs is used for determining the instantaneous velocity from the slope?

A.	Distance-time graph
B.	Position-time graph
C.	Velocity-time graph
D.	None of these

Question

Asked in: CTSE 2019 Engineering-2019

The Velocity -time graph for two bodies A and B are below

Then the acceleration of A and B are in the ratio of :-

A.	$\frac{a_A}{a_B}=1$
B.	$\frac{a_A}{a_B}=\frac{1}{2}$
C.	$\frac{a_A}{a_B}=\frac{1}{3}$
D.	$\frac{a_A}{a_B}=\frac{1}{4}$

Question

For the following graph, select the correct option(s):

A.	The time after which particle attains its initial velocity is 15s
B.	The time after which particle attains its initial velocity is $(15+5 \sqrt{3}) \mathrm{s}$
C.	Average acceleration in time interval 0 to 15 seconds is 5.
D.	Average acceleration in time interval 0 to 15 seconds is $6 \mathrm{~ms}^{-2}$

Question

The particle is moving on the X-axis. Its velocity-time graph is as shown. Which of the following is correct?

A.	Average velocity in time interval 0 to 8 seconds is 3.75 m/s &Average speed in time interval 0 to 8 seconds is 6.25 m/s
B.	Average acceleration in time interval 0 to 10 seconds is $-1 \mathrm{~m} / \mathrm{s}^2$
C.	Instantaneous acceleration at t = 9 seconds is 0
D.	All of the above are correct

Question

Asked in: KVPY SA-2018

If a ball is thrown at a velocity of $45 \mathrm{~m} / \mathrm{s}$ in a vertically upward direction, then what would be the velocity profile as a function of height? Assume $g=10 \mathrm{~m} / \mathrm{s}^2$.

A.
B.
C.
D.

Question

Asked in: KVPY SA-2014

In the following displacement $(x)$ vs time $(t)$ graph, at which among the points P, Q and R is the object's speed increasing?

A.	R only
B.	P only
C.	Q and R only
D.	P, Q, R

Question

Among the four graphs, there is only one graph for which average velocity over the time interval (0, T) can vanish for a suitably chosen T. Which one is it?

A.
B.
C.
D.

Question

Following are four different relations about displacement, velocity, and acceleration for the motion of a particle in general. Choose the incorrect one(s) :

(a) $V_{a v}=\frac{1}{2}\left[V\left(t_1\right)+V\left(t_2\right)\right]$
(b) $V_{a v}=\frac{r\left(t_2\right)-r\left(t_1\right)}{t_2-t_1}$
(c) $r=\frac{1}{2}\left(V\left(t_2\right)-V\left(t_1\right)\right)\left(t_2-t_1\right)$
(d) $a_{a v}=\frac{V\left(t_2\right)-V\left(t_1\right)}{t_2-t_1}$

A.	a,c
B.	a,b
C.	b,c
D.	b,d

Question

The variation of quantity A with quantity B, plotted in Fig. 3.2 describes the motion of a particle in a straight line.

(a) Quantity B may represent time.
(b) Quantity A is velocity if motion is uniform.
(c) Quantity A is displacement if motion is uniform.
(d) Quantity A is velocity if motion is uniformly accelerated.

A.	(a) and (c) and (d) only
B.	(b) and (d) only
C.	(c) and (d) only
D.	(a) and (c) only

Question

Asked in: JEE Main-2025

The velocity-time graph of an object moving along a straight line is shown in the figure. What is the distance covered by the object between $t=0$ to $\mathrm{t}=4 \mathrm{~s} ?$

A.	30 m
B.	10 m
C.	13 m
D.	11 m

Question

Asked in: KVPY SA-2013

The accompanying graph of position x versus time t represents the motion of the particle. If p and q are both positive constants, the expression that best describes the acceleration $a $ of the particle is

A.	$a=-p-qt$
B.	$a=-p+qt$
C.	$a=p+qt$
D.	$a=p-qt$

Question

A pictorial representation of information which is a two-dimensional drawing explaining the relationship between dependent and independent variables is known as?

A.	Graph
B.	-
C.	-
D.	-

Question

Asked in: JEE Main-2025

Which of the following curves possibly represent one-dimensional motion of a particle ?

Choose the correct answer from the options given below :

A.	A, B and D only
B.	A, B and C only
C.	A and B only
D.	A, C and D only

Question

Asked in: JEE Main-2025

The displacement $x$ versus time graph is shown below.

(A) The average velocity during 0 to 3 s is $10 \mathrm{~m} / \mathrm{s}$
(B) The average velocity during 3 to 5 s is $0 \mathrm{~m} / \mathrm{s}$
(C) The instantaneous velocity at $\mathrm{t}=2 \mathrm{~s}$ is $5 \mathrm{~m} / \mathrm{s}$
(D) The average velocity during 5 to 7 s and instantaneous velocity at $\mathrm{t}=6.5 \mathrm{~s}$ are equal
(E) The average velocity from $t=0$ to $t=9 \mathrm{~s}$ is zero

Choose the correct answer from the options given below

A.	(B), (D), (E) only
B.	(B), (C), (D) only
C.	(A), (D), (E) only
D.	(B), (C), (E) only

Question

Asked in: JEE Main-2025

The motion of an airplane is represented by velocity-time graph as shown below. The distance covered by airplane in the first 30.5 second is ______ km.

A.	9
B.	6
C.	3
D.	12

Exam	Chapter
JEE MAIN	Kinematics

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Kinematics graphs - (Concept)

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