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RECTILINEAR MOTION

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Q JEE MAIN_2026
A particle starts moving from time $t=0$ and its coordinate is given as $x(t)=4 t^3-3 t$ A. The particle returns...
JEE Main Physics Easy
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Q JEE MAIN 2026
Water drops fall from a tap on the floor, 5 m below, at regular intervals of time, the first drop...
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Q JEE MAIN 2026
The velocity (v) - Distance (x) graph is shown in figure. Which graph represents acceleration(a) versus distance $(x)$ variation of...
JEE Main Physics Medium
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Q JEE MAIN 2026
A paratrooper jumps from an aeroplane and opens a parachute after $2 s$ of free fall and starts deaccelerating with...
JEE Main Physics Medium
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Q JEE MAIN 2019
The position co-ordinates of a particle moving in a 3-D coordinate system is given by $...
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Q JEE-MAIN 2019
A passenger train of length 60 m travels at a speed of 80 km/hr. Another freight train of length 120...
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Q JEE MAIN 2019
In a car race on straight road, car A takes a time t less than car B at the finish...
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Q JEE MAIN 2019
A ball is thrown vertically up (taken as + z-axis) from the ground. The correct momentum-height (p-h) diagram is:
JEE Main Physics Medium
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Q JEE MAIN 2020
A balloon is moving up in air vertically above a point A on the ground. When it is at a...
JEE Main Physics Hard
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Q JEE MAIN 2019
A particle is moving with speed $v=b \sqrt{x}$ along positive $x$-axis. Calculate the speed of the particle at time $t=\tau$...
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Q JEE MAIN 2020
The distance $x$ covered by a particle in one dimensional motion varies with time $t$ as $x^2=a t^2+$ 2bt +c...
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Q JEE MAIN 2020
A helicopter rises from rest on the ground vertically upwards with a constant acceleration g. A food packet is dropped...
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Q JEE-MAIN 2020
The velocity (v) and time (t) graph of a body in a straight line motion is shown in the figure....
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Q JEE MAIN 2019
A particle is moving along a circular path with a constant speed of 10 ms–1. What is the magnitude of...
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Q JEE MAIN 2020
A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate $...
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Q JEE MAIN 2019
A bullet of mass 20 g has an initial speed of $1 \mathrm{~ms}^{-1}$, just before it starts penetrating a mud...
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Q JEE MAIN 2020
Starting from the origin at time $t=0$, with initial velocity $5 \hat{j} \mathrm{~ms}^{-1}$, a particle moves in the $x-y$ plane...
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Q JEE MAIN 2020
The speed versus time graph for a particle is shown in the figure. The distance travelled (in m ) by...
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Q JEE MAIN 2020
A tennis ball is released from a height h and after freely falling on a wooden floor it rebounds and...
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Q JEE MAIN 2019
In a car race on straight road, car A takes a time t less than car B at the finish...
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Q JEE MAIN 2020
A particle starts from the origin at $t=0$ with an initial velocity of $3.0 \hat{i} \mathrm{~m} / \mathrm{s}$ and moves...
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Q JEE MAIN 2020
A small ball of mass $m$ is thrown upward with velocity $u$ from the ground. The ball experiences a resistive...
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Q JEE-MAIN 2020
A particle is moving unidirectionally on a horizontal plane under the action of a constant power supplying energy source. The...
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Q JEE MAIN 2019
The position of a particle as a function of time $t$, is given by $$ x(t)=a t+b t^2-c t^3 $$...
JEE Main Physics Hard
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Q JEE MAIN 2019
The position vector of a particle changes with time according to the relation $\vec{r}(t)=15 t^2 \hat{i}+\left(4-20 t^2\right) \hat{j}$. What is...
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Q JEE MAIN 2021
A particle is moving with constant acceleration ' $a$ '. Following graph shows $v^2$ versus $x$ (displacement) plot. The acceleration...
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Q JEE MAIN 2021
A particle is moving with constant acceleration ' $a$ '. Following graph shows $v^2$ versus $x$ (displacement) plot. The acceleration...
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Q JEE-MAIN 2021
Water drops are falling from a nozzle of a shower onto the floor, from a height of 9.8 m. The...
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Q JEE MAIN 2021
Two spherical balls having equal masses with radius of 5 cm each are thrown upwards along the same vertical direction...
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Q JEE MAIN 2021
A swimmer wants to cross a river from point A to point B. Lint AB makes an angle of 30º...
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Q JEE MAIN 2021
The instantaneous velocity of a particle moving in a straight line is given as $\mathrm{v}=\alpha \mathrm{t}+\beta \mathrm{t}^2$, where $\alpha$ and...
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Q JEE MAIN 2021
A balloon was moving upwards with a uniform velocity of $10 \mathrm{~m} / \mathrm{s}$. An object of finite mass is...
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Q JEE MAIN 2021
The relation between time $t$ and distance $x$ for a moving body is given as $t=m x^2+n x$, where $m$...
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Q JEE-MAIN 2021
Water droplets are coming from an open tap at a particular rate. The spacing between a droplet observed at 4th...
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Q JEE MAIN 2019
A particle starts from origin O from rest and moves with a uniform acceleration along the positive x-axis. Identify all...
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Q JEE MAIN 2021
A ball is thrown up with a certain velocity so that it reaches a height ' $h$ '. Find the...
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Q JEE MAIN 2021
A butterfly is flying with a velocity $4 \sqrt{2} \mathrm{~m} / \mathrm{s}$ in North-East direction. Wind is slowly blowing at...
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Q JEE MAIN 2021
The velocity-displacement graph of a particle is shown in the figure. The acceleration-displacement graph of the same particle is represented...
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Q JEE-MAIN 2021
The velocity of a particle is $\mathrm{v}=\mathrm{v}_0+\mathrm{gt}+\mathrm{Ft}^2$. Its position is $\mathrm{x}=0$ at $\mathrm{t}=0$; then its displacement after time $(\mathrm{t}=1)$ is...
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Q JEE MAIN 2021
A person is swimming with a speed of $10 \mathrm{~m} / \mathrm{s}$ at an angle of $120^{\circ}$ with the flow...
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Q JEE MAIN 2021
The position, velocity and acceleration of a particle moving with a constant acceleration can be represented by :
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Q _JEE_MAIN_2021
A car accelerates from rest at a constant rate $\alpha$ for some time after which it decelerates at a constant...
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Q JEE MAIN 2021
The velocity-displacement graph describing the motion of a bicycle is shown in the figure.
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Q JEE MAIN 2021
A scooter accelerates from rest for time $t_1$ at constant rate $a_1$ and then retards at constant rate $a_2$ for...
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Q JEE MAIN 2021
If the velocity-time graph has the shape AMB, what would be the shape of the corresponding acceleration-time graph ?
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Q JEE MAIN 2021
A particle is projected with velocity $v_0$ along $x$-axis. A damping force is acting on the particle which is proportional...
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Q JEE MAIN 2021
A stone is dropped from the top of a building. When it crosses a point 5 m below the top,...
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Q JEE MAIN 2021
An engine of a train, moving with uniform acceleration, passes the signal-post with velocity u and the last compartment with...
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Q JEE MAIN 2022
A car covers $A B$ distance with first one-third at velocity $\mathrm{v}_1 \mathrm{~ms}^{-1}$, second one-third at $\mathrm{v}_2 \mathrm{~ms}^{-1}$ and last...
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Q JEE MAIN 2022
A particle is moving in a straight line such that its velocity is increasing at $5 \mathrm{~ms}^{-1}$ per meter. The...
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Q JEE MAIN 2022
A ball is thrown vertically upwards with a velocity of $19.6 \mathrm{~ms}^{-1}$ from the top of a tower. The ball...
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Q JEE MAIN 2022
A ball is released from a height $h$. If $t_1$ and $t_2$ be the time required to complete first half...
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Q JEE MAIN 2022
A juggler throws balls vertically upwards with same initial velocity in air. When the first ball reaches its highest position,...
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Q JEE MAIN 2022
The velocity of the bullet becomes one third after it penetrates 4 cm in a wooden block. Assuming that bullet...
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Q JEE MAIN 2022
At time $t=0$ a particle starts travelling from a height $7 \hat{z} \mathrm{~cm}$ in a plane keeping z coordinate constant....
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Q JEE MAIN 2022
A ball of mass m is thrown vertically upward. another ball of mass 2 m is thrown an angle ...
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Q JEE MAIN 2022
A car is moving with speed of 150 km/h and after applying the brake it will move 27 m before...
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Q JEE Main 2022_
A NCC parade is going at a uniform speed of $9 \mathrm{~km} / \mathrm{h}$ under a mango tree on which...
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Q JEE MAIN 2022
A ball is thrown up vertically with a certain velocity so that, it reaches a maximum height $h$. Find the...
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Q JEE MAIN 2022
A person moved from A to B on a circular path as shown in figure. If the distance travelled by...
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Q JEE MAIN 2022
A block of mass 2 kg moving on a horizontal surface with speed of $4 \mathrm{~ms}^{-1}$ enters a rough surface...
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Q JEE MAIN 2022
A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of...
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Q JEE MAIN 2022
When a ball is dropped into a lake from a height 4.9 m above the water level, it hits the...
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Q JEE-MAIN 2022
Two buses $P$ and $Q$ start from a point at the same time and move in a straight line and...
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Q JEE MAIN 2022
A ball of mass 0.5 kg is dropped from the height of 10m. The height, at which the magnitude of...
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Q JEE-Main_2024
A particle is moving in a straight line. The variation of position ' $x$ ' as a function of time...
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Q JEE MAIN 2024
A particle initially at rest starts moving from reference point. x=0 along x-axis, with velocity v that varies as v=$...
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Q JEE MAIN 2024
A body falling under gravity covers two points A and B separated by 80 m in 2 s. The distance...
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Q JEE MAIN 2023
A particle starts with an initial velocity of $10.0 \mathrm{~ms}^{-1}$ along $x$-direction and accelerates uniformly at the rate of $...
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Q JEE MAIN_2025
A particle moves along the $x$-axis and has its displacement $x$ varying with time t according to the equation: $$...
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Q JEE MAIN 2025
An object with mass 500 g moves along x -axis with speed $v=4 \sqrt{x} \mathrm{~m} / \mathrm{s}$. The force acting...
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Q JEE MAIN 2025
The displacement x versus time graph is shown below. (A)The average velocity during 0 to 3 s is $...
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Q JEE MAIN 2023
The distance travelled by an object in time t is given by $s=(2.5) t^2$. The instantaneous speed of the object...
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Q JEE MAIN 2023
Given below are two statements: Statement-I: Area under velocity- time graph gives the distance travelled by the body in a...
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Q JEE MAIN_2023
The distance travelled by a particle is related to time t as$x=4 t^2$. The velocity of the particle at t...
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Q JEE MAIN_2023
A car is moving on a circular path of radius 600 m such that the magnitudes of the tangential acceleration...
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Q JEE MAIN 2023
For a train engine moving with speed of $20 \mathrm{~ms}^{-1}$ the driver must apply brakes at a distance of 500...
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Q JEE MAIN_2023
The velocity time graph of a body moving in a straight line is shown in figure. The ratio of displacement...
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Q JEE MAIN 2023
The position-time graphs for two students A and B returning from the school to their homes are shown in figure...
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Q JEE MAIN 2023
A ball is thrown vertically upward with an initial velocity of $150 \mathrm{~m} / \mathrm{s}$. The ratio of velocity after...
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Q JEE MAIN 2023
The position of a particle related to time is given by $x=\left(5 t^2-4 t+5\right) m$. The magnitude of velocity of...
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Q JEE MAIN 2023
Form the v-t graph shown. The ratio of distance to displacement in 25s of motion
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Q JEE MAIN 2023
The electric field in an electromagnetic wave is given as $\vec{E}=20 \sin \omega\left(t-\frac{x}{c}\right) \vec{j} N C^{-1}$ Where $\omega$ and c...
JEE Main Physics Medium
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Q JEE MAIN 2023
A horse rider covers half the distance with $5 \mathrm{~m} / \mathrm{s}$ speed. The remaining part of the distance was...
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Q JEE MAIN 2023
A tennis ball is dropped on to the floor from a height of 9.8 m. It rebounds to a height...
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Q JEE MAINS 2024
A car travels a distance of 'x' with speed V1 and then same distance 'x' with speed V2 in the...
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Q JEE MAINS 2024
$$ \text { The relation between time ' } t \text { ' and distance ' } x \text {...
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Q JEE MAIN
A train starting from rest first accelerates uniformly up to a speed of 80 km/h for time t, then it...
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Q JEE MAIN 2024
A particle moving in a straight line covers half the distance with speed 6 m/s. The other half is covered...
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Q JEE MAIN 2024
A body moves on a frictionless plane starting from rest. If S_n is distance moved between t=n-1 and t =n...
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Q JEE MAIN
A particle is moving in one dimension (along x axis) under the action of a variable force. It's initial position...
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Q JEE MAIN 2024
A body travels 102.5 m in $\mathrm{n}^{\text {th }}$ second and 115.0 m in $(\mathrm{n}+2)^{\text {th }}$ second. The acceleration...
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Q JEE-Main_2024
The displacement and the increase in the velocity of a moving particle in the time interval of t to (t+1)s...
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Q JEE MAINS 2024
The relation between time ' t ' and distance ' x ' is t= αx^2+βx, where α and β are...
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Q JEE MAIN 2024
A body starts moving from rest with constant acceleration covers displacement $S_1$ in first (p-1) seconds and $S_2$ in first...
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Q JEE MAIN 2025
A sportsman runs around a circular track of radius $r$ such that he traverses the path $A B A B$....
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Q JEE MAIN 2024
Position of an ant ( S in metres) moving in Y-Z plane is given by $S=2 t^2 \hat{\jmath}+5 \hat{k}$ (where...
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Q JEE MAIN 2025
The velocity-time graph of an object moving along a straight line is shown in figure. What is the distance covered...
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Q JEE MAIN 2025
Which of the following curves possibly represent one-dimensional motion of a particle? Choose the correct answer from the options given...
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Q JEE MAIN 2025
A person travelling on a straight line moves with a uniform velocity ${v_1}$ for a distance x and with a...
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Q JEE MAIN 2025
Two particles are located at equal distance from origin. The position vectors of those are represented by $\overrightarrow{\text{A}}=2\widehat{\text{i}}+3n\widehat{\text{j}}+2\widehat{\text{k}}$ and $\overrightarrow{\text{B}}=2\widehat{\text{i}}-2\widehat{\text{j}}+4\text{p}\widehat{\text{k}}$,...
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Q JEE MAIN 2025
The motion of an airplane is represented by velocity-time graph as shown below. The distance covered by airplane in the...
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