Kinematics 2D – JEE Main Previous Year Questions with Solutions

Download India's Best Exam Preparation App

Class 9-10, JEE & NEET

Download eSaral App
JEE Main Previous Year Question of Physics with Solutions are available here. Practicing JEE Main Previous Year Papers Questions of Physics will help all the JEE aspirants in realizing the question pattern as well as help in analyzing their weak & strong areas. Get detailed Class 11th &12th Physics Notes to prepare for Boards as well as competitive exams like IIT JEE, NEET etc. eSaral helps the students in clearing and understanding each topic in a better way. eSaral is providing complete chapter-wise notes of Class 11th and 12th both for all subjects. Besides this, eSaral also offers NCERT Solutions, Previous year questions for JEE Main and Advance, Practice questions, Test Series for JEE Main, JEE Advanced and NEET, Important questions of Physics, Chemistry, Math, and Biology and many more. Download eSaral app for free study material and video tutorials. Simulator   Previous Years JEE Advanced Questions
Q. A train is moving along a straight line with a constant acceleration ‘a’. A boy standing in the train throws a ball forward with a speed of 10 m/s, at an angle of $60^{\circ}$ to the horizontal. The boy has to move forward by 1.15 m inside the train to catch the ball back at the initial height. The acceleration of the train, in $\mathrm{m} / \mathrm{s}^{2}$, is – [IIT-JEE 2011]

Download eSaral App for Video Lectures, Complete Revision, Study Material and much more...

Sol. 5

Q. A rocket is moving in a gravity free space with a constant acceleration of 2 $\mathrm{ms}^{-2}$along + x direction (see figure). The length of a chamber inside the rocket is 4m. A ball is thrown from the left end of the chamber in + x direction with a speed of 0.3 $\mathrm{ms}^{-1}$ relative to the rocket. At the same time, another ball is thrown in –x direction with a speed of 0.2 $\mathrm{ms}^{-1}$ from its right end relative to the rocket. The time in seconds when the two balls hit each other is – [JEE Advanced 2014]

Download eSaral App for Video Lectures, Complete Revision, Study Material and much more...

Sol. 8 or 2 Assuming open chamber $\mathrm{V}_{\text {relative }}=0.5 \mathrm{m} / \mathrm{s}$ $S_{\text {relative }}=4 \mathrm{m}$ time $=\frac{4}{0.5}=8 \mathrm{s}$ Alternate Assuming closed chamber In the frame of chamber : Maximum displacement of ball A from its left end is $\frac{\mathrm{u}_{\mathrm{A}}^{2}}{2 \mathrm{a}}=\frac{(0.3)^{2}}{2(2)}=0.0225 \mathrm{m}$ This is negligible with respect to the length of chamber i.e. 4m. So, the collision will be very close to the left end. Hence, time taken by ball B to reach left end will be given by $\mathrm{S}=\mathrm{u}_{\mathrm{B}} \mathrm{t}+\frac{1}{2} \mathrm{at}^{2}$ $4=(0.2)(t)+\frac{1}{2}(2)(t)^{2}$ Solving this, we get $\mathrm{t} \approx 2 \mathrm{s}$

Q. Airplanes A and B are flying with constant velocity in the same vertical plane at angles $30^{\circ}$ and $60^{\circ}$ with respect to the horizontal respectively as shown in figure. The speed of A is $\mathrm{ms}^{-1}$. At time t = 0 s, an observer in A finds B at a distance of 500 m. This observer sees B moving with a constant velocity perpendicular to the line of motion of A. If at t = $t_{0}$, A just escapes being hit by B, $t_{0}$ in seconds is [JEE Advanced 2014]

Download eSaral App for Video Lectures, Complete Revision, Study Material and much more...

Sol. 5 As observed from A, B moves perpendicular to line of motion of A. It means velocity of B along A is equal to velocity of A $\mathrm{V}_{\mathrm{B}} \cos 30=100 \sqrt{3}$ $\mathrm{V}_{\mathrm{B}}=200$ If A is observer A remains stationary therefore $\mathrm{t}=\frac{500}{\mathrm{V}_{\mathrm{B}} \sin 30}=\frac{500}{100}=5$

Q. A ball is projected from the ground at an angle of $45^{\circ}$ with the horizontal surface. It reaches a maximum height of 120 m and returns to the ground. Upon hitting the ground for the first time, it loses half of its kinetic energy. Immediately after the bounce, the velocity of the ball makes an angle of $30^{\circ}$ with the horizontal surface. The maximum height it reaches after the bounce, in metres, is [JEE Advanced 2018]

Download eSaral App for Video Lectures, Complete Revision, Study Material and much more...

Sol. 30 $\mathrm{H}_{1}=\frac{\mathrm{u}^{2} \sin ^{2} 45}{2 \mathrm{g}}=120$ $\Rightarrow \frac{\mathrm{u}^{2}}{4 \mathrm{g}}=120$ ….(i) when half of kinetic energy is lost $\mathrm{v}=\frac{\mathrm{u}}{\sqrt{2}}$ $\mathrm{H}_{2}=\frac{\left(\frac{\mathrm{u}}{\sqrt{2}}\right)^{2} \sin ^{2} 30}{2 \mathrm{g}}=\frac{\mathrm{u}^{2}}{16 \mathrm{g}}$ from (i) & (ii) $\mathrm{H}_{2}=\frac{\mathrm{H}_{1}}{4}=30 \mathrm{m}$ on 30.00

Administrator

Leave a comment

Please enter comment.
Please enter your name.


Comments
  • February 13, 2021 at 4:36 pm

    Not proper explainations

    0
  • November 26, 2020 at 3:40 pm

    Not much quality as of advance 👎🏿👎🏿👎🏿

    0
  • October 10, 2020 at 6:40 am

    I loved it and solutions can never be said anyone that it is unmasticable/any way I digested these questions only due to proper mind fixed creation by eSaral /Tq vv much.

    0
  • September 18, 2020 at 2:25 pm

    luul solution no figure fuck up these idiots

    0
  • September 18, 2020 at 1:51 pm

    over and over and over

    0
  • September 5, 2020 at 7:05 am

    nice questions

    0
  • August 29, 2020 at 10:44 am

    thanks a lot for these question keep creating these type of jee questions segment for each topic
    thanks u thanks a lot

    0
  • July 22, 2020 at 11:12 pm

    Enjoyed a lot great website, I loved it
    😃😃😃😃🤟🤟

    0
  • Sai
    April 8, 2020 at 7:02 am

    Please give give every year questions

    0