Motion in a Straight Line PYQs - Last 10 Years
JEE Main / Physics / Mechanics / 107 recent questions
PhysicsMechanics2017-2026
Practice 107 JEE Main Physics questions from Motion in a Straight Line. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
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2017-2026
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Last 10 Years Motion in a Straight Line Questions
Showing 50 of 107 filtered questions.
1Motion In A Straight Line
Two balls A and B are placed at the top of 180 m tall tower. Ball A is released from the top at t = 0 s. Ball B is thrown vertically down with an initial velocity 'u' at t = 2 s. After a certain time, both balls meet 100 m above the ground....
MCQ+4 / -12022
2Motion In A Straight Line
A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of 10m in t s, the distance travelled by the toy in the next t s will be :
MCQ+4 / -12022
3Motion In A Straight Line
If \(\mathrm{t}=\sqrt{x}+4\), then \(\left(\frac{\mathrm{d} x}{\mathrm{~d} t}\right)_{\mathrm{t}=4}\) is :
MCQ+4 / -12022
4Motion In A Straight Line
A ball is thrown up vertically with a certain velocity so that, it reaches a maximum height h. Find the ratio of the times in which it is at height \(\frac{h}{3}\) while going up and coming down respectively.
MCQ+4 / -12022
5Motion In A Straight Line
A ball is released from a height h. If \(t_{1}\) and \(t_{2}\) be the time required to complete first half and second half of the distance respectively. Then, choose the correct relation between \(t_{1}\) and \(t_{2}\).
MCQ+4 / -12022
6Motion In A Straight Line
A juggler throws balls vertically upwards with same initial velocity in air. When the first ball reaches its highest position, he throws the next ball. Assuming the juggler throws n balls per second, the maximum height the balls can reach i...
MCQ+4 / -12022
7Motion In A Straight Line
A car covers AB distance with first one-third at velocity v1 ms\(-\)1, second one-third at v2 ms\(-\)1 and last one-third at v3 ms\(-\)1. If v3 = 3v1, v2 = 2v1 and v1 = 11 ms\(-\)1 then the average velocity of the car is _____________ ms$$-...
INTEGER+4 / -12022
8Motion In A Straight Line
A NCC parade is going at a uniform speed of \(9 \mathrm{~km} / \mathrm{h}\) under a mango tree on which a monkey is sitting at a height of \(19.6 \mathrm{~m}\). At any particular instant, the monkey drops a mango. A cadet will receive the m...
MCQ+4 / -12022
9Motion In A Straight Line
A ball is thrown vertically upwards with a velocity of \(19.6 \mathrm{~ms}^{-1}\) from the top of a tower. The ball strikes the ground after \(6 \mathrm{~s}\). The height from the ground up to which the ball can rise will be $$\left(\frac{k...
INTEGER+4 / -12022
10Motion In A Straight Line
A bullet is shot vertically downwards with an initial velocity of \(100 \mathrm{~m} / \mathrm{s}\) from a certain height. Within 10 s, the bullet reaches the ground and instantaneously comes to rest due to the perfectly inelastic collision....
MCQ+4 / -12022
11Motion In A Straight Line
The velocity of the bullet becomes one third after it penetrates 4 cm in a wooden block. Assuming that bullet is facing a constant resistance during its motion in the block. The bullet stops completely after travelling at (4 + x) cm inside ...
MCQ+4 / -12022
12Motion In A Straight Line
A ball of mass 0.5 kg is dropped from the height of 10 m. The height, at which the magnitude of velocity becomes equal to the magnitude of acceleration due to gravity, is ________ m. [Use g = 10 m/s2]
INTEGER+4 / -12022
13Motion In A Straight Line
A ball is projected vertically upward with an initial velocity of 50 ms\(-\)1 at t = 0s. At t = 2s, another ball is projected vertically upward with same velocity. At t = __________ s, second ball will meet the first ball (g = 10 ms\(-\)2).
INTEGER+4 / -12022
14Motion In A Straight Line
Two buses P and Q start from a point at the same time and move in a straight line and their positions are represented by \({X_P}(t) = \alpha t + \beta {t^2}\) and \({X_Q}(t) = ft - {t^2}\). At what time, both the buses have same velocity?
MCQ+4 / -12022
15Motion In A Straight Line
A car is moving with speed of \(150 \mathrm{~km} / \mathrm{h}\) and after applying the break it will move \(27 \mathrm{~m}\) before it stops. If the same car is moving with a speed of one third the reported speed then it will stop after tra...
INTEGER+4 / -12022
16Motion In A Straight Line
A particle is moving in a straight line such that its velocity is increasing at 5 ms\(-\)1 per meter. The acceleration of the particle is _____________ ms\(-\)2 at a point where its velocity is 20 ms\(-\)1.
INTEGER+4 / -12022
17Motion In A Straight Line
From the top of a tower, a ball is thrown vertically upward which reaches the ground in 6 s. A second ball thrown vertically downward from the same position with the same speed reaches the ground in 1.5 s. A third ball released, from the re...
INTEGER+4 / -12022
18Motion In A Straight Line
A particle is moving with constant acceleration 'a'. Following graph shows v2 versus x(displacement) plot. The acceleration of the particle is ___________ m/s2.
INTEGER+4 / -12021
19Motion In A Straight Line
A ball is thrown up with a certain velocity so that it reaches a height 'h'. Find the ratio of the two different times of the ball reaching \({h \over 3}\) in both the directions.
MCQ+4 / -12021
20Motion In A Straight Line
If the velocity of a body related to displacement x is given by \(\upsilon = \sqrt {5000 + 24x}\) m/s, then the acceleration of the body is .................... m/s2.
INTEGER+4 / -12021
21Motion In A Straight Line
Water drops are falling from a nozzle of a shower onto the floor, from a height of 9.8 m. The drops fall at a regular interval of time. When the first drop strikes the floor, at that instant, the third drop begins to fall. Locate the positi...
MCQ+4 / -12021
22Motion In A Straight Line
A scooter accelerates from rest for time t1 at constant rate a1 and then retards at constant rate a2 for time t2 and comes to rest. The correct value of \({{{t_1}} \over {{t_2}}}\) wil be :
MCQ+4 / -12021
23Motion In A Straight Line
Two spherical balls having equal masses with radius of 5 cm each are thrown upwards along the same vertical direction at an interval of 3s with the same initial velocity of 35 m/s, then these balls collide at a height of ............... m. ...
INTEGER+4 / -12021
24Motion In A Straight Line
Water droplets are coming from an open tap at a particular rate. The spacing between a droplet observed at 4th second after its fall to the next droplet is 34.3 m. At what rate the droplets are coming from the tap ? (Take g = 9.8 m/s2)
MCQ+4 / -12021
25Motion In A Straight Line
The instantaneous velocity of a particle moving in a straight line is given as \(V = \alpha t + \beta {t^2}\), where \(\alpha\) and \(\beta\) are constants. The distance travelled by the particle between 1s and 2s is :
MCQ+4 / -12021
26Motion In A Straight Line
A balloon was moving upwards with a uniform velocity of 10 m/s. An object of finite mass is dropped from the balloon when it was at a height of 75 m from the ground level. The height of the balloon from the ground when object strikes the gr...
MCQ+4 / -12021
27Motion In A Straight Line
The relation between time t and distance x for a moving body is given as t = mx2 + nx, where m and n are constants. The retardation of the motion is : (When v stands for velocity)
MCQ+4 / -12021
28Motion In A Straight Line
An engine of a train, moving with uniform acceleration, passes the signal-post with velocity u and the last compartment with velocity v. The velocity with which middle point of the train passes the signal post is :
MCQ+4 / -12021
29Motion In A Straight Line
A stone is dropped from the top of a building. When it crosses a point 5 m below the top, another stone starts to fall from a point 25 m below the top. Both stones reach the bottom of building simultaneously. The height of the building is :
MCQ+4 / -12021
30Motion In A Straight Line
If the velocity-time graph has the shape AMB, what would be the shape of the corresponding acceleration-time graph?
MCQ+4 / -12021
31Motion In A Straight Line
A boy reaches the airport and finds that the escalator is not working. He walks up the stationary escalator in time t1. If he remains stationary on a moving escalator then the escalator takes him up in time t2. The time taken by him to walk...
MCQ+4 / -12021
32Motion In A Straight Line
The position, velocity and acceleration of a particle moving with a constant acceleration can be represented by :
MCQ+4 / -12021
33Motion In A Straight Line
The velocity \(-\) displacement graph of a particle is shown in the figure.The acceleration \(-\) displacement graph of the same particle is represented by :
MCQ+4 / -12021
34Motion In A Straight Line
A car accelerates from rest at a constant rate \(\alpha\) for some time after which it decelerates at a constant rate \(\beta\) to come to rest. If the total time elapsed is t seconds, the total distance travelled is :
MCQ+4 / -12021
35Motion In A Straight Line
The velocity of a particle is v = v0 + gt + Ft2. Its position is x = 0 at t = 0; then its displacement after time (t = 1) is :
MCQ+4 / -12021
36Motion In A Straight Line
A rubber ball is released from a height of 5 m above the floor. It bounces back repeatedly, always rising to \({{81} \over {100}}\) of the height through which it falls. Find the average speed of the ball. (Take g = 10 ms\(-\)2)
MCQ+4 / -12021
37Motion In A Straight Line
The velocity-displacement graph describing the motion of bicycle is shown in the figure.The acceleration-displacement graph of the bicycle's motion is best described by :
MCQ+4 / -12021
38Motion In A Straight Line
The distance x covered by a particle in one
dimensional motion varies with time t as
x2 = at2 + 2bt + c. If the acceleration of the
particle depends on x as x–n, where n is an
integer, the value of n is __________
dimensional motion varies with time t as
x2 = at2 + 2bt + c. If the acceleration of the
particle depends on x as x–n, where n is an
integer, the value of n is __________
INTEGER+4 / -02020
39Motion In A Straight Line
A helicopter rises from rest on the ground
vertically upwards with a constant acceleration
g. A food packet is dropped from the helicopter
when it is at a height h. The time taken by the
packet to reach the ground is close to :
[g is the
ac...
vertically upwards with a constant acceleration
g. A food packet is dropped from the helicopter
when it is at a height h. The time taken by the
packet to reach the ground is close to :
[g is the
ac...
MCQ+4 / -12020
40Motion In A Straight Line
The velocity (v) and time (t) graph of a body in
a straight line motion is shown in the figure.
The point S is at 4.333 seconds. The total
distance covered by the body in 6 s is :
a straight line motion is shown in the figure.
The point S is at 4.333 seconds. The total
distance covered by the body in 6 s is :
MCQ+4 / -12020
41Motion In A Straight Line
A Tennis ball is released from a height h and after freely falling on a wooden floor
it rebounds and reaches height \({h \over 2}\). The
velocity versus height of the ball during its motion may be represented graphically by : (graph are dra...
it rebounds and reaches height \({h \over 2}\). The
velocity versus height of the ball during its motion may be represented graphically by : (graph are dra...
MCQ+4 / -12020
42Motion In A Straight Line
The speed verses 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 = 5 s will be________.
the particle during the time interval t = 0 to t = 5 s will be________.
INTEGER+4 / -02020
43Motion In A Straight Line
Train A and train B are running on parallel
tracks in the opposite directions with speeds of
36 km/hour and 72 km/hour, respectively. A
person is walking in train A in the direction
opposite to its motion with a speed of 1.8 km/
hour. Speed...
tracks in the opposite directions with speeds of
36 km/hour and 72 km/hour, respectively. A
person is walking in train A in the direction
opposite to its motion with a speed of 1.8 km/
hour. Speed...
MCQ+4 / -12020
44Motion In A Straight Line
In a car race on straight road, car A takes a time t less than car B at the finish and passes finishing point with a speed '\(\upsilon\)' more than that of car B. Both the cars start from rest and travel with constant acceleration a1 and a...
MCQ+4 / -12019
45Motion In A Straight Line
The position of a particle as a function of time
t, is given byx(t) = at + bt2 – ct3
where a, b and c are constants. When the
particle attains zero acceleration, then its
velocity will be :
t, is given byx(t) = at + bt2 – ct3
where a, b and c are constants. When the
particle attains zero acceleration, then its
velocity will be :
MCQ+4 / -12019
46Motion In A Straight Line
The position vector of a particle changes with
time according to the relation
\(\overrightarrow r (t) = 15{t^2}\widehat i + (4 - 20{t^2})\widehat j\) What is the
magnitude of the acceleration at t = 1 ?
time according to the relation
\(\overrightarrow r (t) = 15{t^2}\widehat i + (4 - 20{t^2})\widehat j\) What is the
magnitude of the acceleration at t = 1 ?
MCQ+4 / -12019
47Motion In A Straight Line
A particle starts from origin O from rest and
moves with a uniform acceleration along the
positive x-axis. Identify all figures that
correctly represent the motion qualitatively.
(a = acceleration, v = velocity,
x = displacement, t = time)
...
moves with a uniform acceleration along the
positive x-axis. Identify all figures that
correctly represent the motion qualitatively.
(a = acceleration, v = velocity,
x = displacement, t = time)
...
MCQ+4 / -12019
48Motion In A Straight Line
A passenger train of length 60 m travels at a speed of 80 km/hr. Another freight train of length 120 m travels at a speed of 30 km/hr. The ratio of times taken by the passenger train to completely cross the freight train when : (i) they are...
MCQ+4 / -12019
49Motion In A Straight Line
A particle is moving with speed v = b\(\sqrt x\) along positive x-axis. Calculate the speed of the particle at
time t = \(\tau\)(assume that the particle is at origin t = 0)
time t = \(\tau\)(assume that the particle is at origin t = 0)
MCQ+4 / -12019
50Motion In A Straight Line
A particle moves from the point \(\left( {2.0\widehat i + 4.0\widehat j} \right)\) m, at t = 0, with an initial velocity \(\left( {5.0\widehat i + 4.0\widehat j} \right)\) ms\(-\)1. It is acted upon by a constant force which produces a cons...
MCQ+4 / -12019
